PID Controller Implementation in Software - Phil's Lab #6

Ғылым және технология

⏵Hardware and PCB design course: www.phils-lab.net/courses
Source code available here: github.com/pms67/PID
How to implement a PID controller in software using C, discussing theory and practical considerations. Demonstration of PID controller code using a custom flight simulator.
If you're enjoying my content, please consider becoming a patron: / phils94
[NOTE] Something I forgot to mention in the video! Note on 'derivative-on-measurement': Since the 'error signal' effectively going into the differentiator does not depend on the setpoint: e[n] = 0 - measurement, and therefore (e[n] - e[n - 1]) = (0 - measurement) - (0 - prevMeasurement) = -Kd * (measurement - prevMeasurement). Note the minus sign compared to derivative-on-error!
I've made the change in the Git repo - before you would have had to use a negative Kd gain to get the same result. Now you can, as normal with derivative-on-error, use a positive Kd gain as usual.
Additional note: The derivative low-pass filter can be controlled by the constant 'tau', which is the time constant of the filter (-3dB frequency in Hz, fc = 1 / (2*pi*tau)). A larger value of tau means the signal is filtered more heavily. As tau approaches zero, the differentiator approaches a 'pure differentiator' with no filtering.
[TIMESTAMPS]
00:00 Introduction
00:39 Control system basics
02:40 PID representation in continuous domain
04:57 Converting from the continuous to the discrete domain
06:11 PID controller difference equation
07:35 Practical considerations
10:48 Basic software structure
11:53 Implementation in C
18:46 Example: Flight simulator using PID controller code
ID: QIBvbJtYjWuHiTG0uCoK

Пікірлер: 373

  • @PhilsLab
    @PhilsLab4 жыл бұрын

    New hardware and PCB design course on mixed-signal embedded systems just released! ⏵Course content: www.phils-lab.net/courses ⏵Course sign-up: phils-lab-shop.fedevel.education Something I forgot to mention in the video! Note on 'derivative-on-measurement': Since the 'error signal' effectively going into the differentiator does not depend on the setpoint: e[n] = 0 - measurement, and therefore (e[n] - e[n - 1]) = (0 - measurement) - (0 - prevMeasurement) = -Kd * (measurement - prevMeasurement). Note the minus sign compared to derivative-on-error! I've made the change in the Git repo - before you would have had to use a negative Kd gain to get the same result. Now you can, as normal with derivative-on-error, use a positive Kd gain as usual.

  • @abdelhassibdad3413

    @abdelhassibdad3413

    4 жыл бұрын

    Thanks for sharing i have a question how can we get tau and how we chose sampling time ?

  • @gerhardwiesinger

    @gerhardwiesinger

    4 жыл бұрын

    Kd should always be positive, so please change it in git repo (and test code again). To avoid the confusion you could always use error to setpoint.But with a flag set the setpoint always to 0 but only for the derivative component. (hope the intention is clear). So one can choose if "kick in" is wanted or not. BTW: What's the practical impact of the kick in on the output response?

  • @PhilsLab

    @PhilsLab

    4 жыл бұрын

    @@gerhardwiesinger Thanks, I've included the minus sign. Code has been checked and works as expected.

  • @moczikgabor

    @moczikgabor

    4 жыл бұрын

    @@gerhardwiesinger You might make another derivative term for the setpoint, with a separate Kd(set), and this way you could control how to respond to setpoint change and how to measurement change.

  • @EinzigfreierName

    @EinzigfreierName

    4 жыл бұрын

    Very good video and one of the best I saw on implementing PID so far. But I don't fully understand how the derivative of the measurement and the derivative of the error can give the same result. This seems to work only if you imply the setpoint is not changing between two measurements, right? I mean, if the setpoint is increasing at the same speed as the measurement, the error is constant and derivative of the error is 0. But the derivative of the measurement would be non-zero in this case. Or am I missing something.

  • @patrickhochleitner7754
    @patrickhochleitner77544 жыл бұрын

    This is the first time I find a direct C application from a theoretical control explanation. I've been searching for this for some time on my university's library and no luck at all. Thank you so much for this, you got a fan right here.

  • @PhilsLab

    @PhilsLab

    4 жыл бұрын

    Thank you! Yeah, I had the same problem, as it was quite hard to find complete and documented code online (and in books) that also covers practical issues in implementation - so very glad to hear this has helped.

  • @jasonbotzas4528
    @jasonbotzas4528 Жыл бұрын

    I’ve learned this in school only from a theoretical standpoint that glosses over the very important details of “how do we ACTUALLY make this work”. Thank you for increasing my knowledge!

  • @bastianacevedobustos3156
    @bastianacevedobustos31564 жыл бұрын

    This channel is slowly becoming one of my favorites, thank you so much!!

  • @PhilsLab

    @PhilsLab

    4 жыл бұрын

    I'm very happy to hear that - thank you!

  • @martinestorninhoblocher1010
    @martinestorninhoblocher10102 жыл бұрын

    Hey Phil, Great video. Information is not to extent but the fundamental concepts are there, plus you actually give an example of a real world application, which at the end of the day is what really matters. Thank you.

  • @kersgames6382
    @kersgames6382 Жыл бұрын

    You saved my day man! I finally understand how to implement basically any continuous time controller onto a arduino or something like that. One can have ALL the understanding of the theory, but if you cannot apply it, you are basically worth nothing for a company. Thank you so much!

  • @bluehornet6752
    @bluehornet67524 жыл бұрын

    Brilliant video! I've forgotten some (most?) of my differential equations concepts, but you gave a very nice review--and I love your PID algorithm. The flight sim was most impressive as well. Thanks for making this video!

  • @PhilsLab

    @PhilsLab

    4 жыл бұрын

    Thank you, Tom! Very glad to hear that - hope you can use the algorithm in one of your projects! :)

  • @leecaraway706
    @leecaraway7064 жыл бұрын

    Very well done! You are an excellent teacher. Concise and to the point, good flow with no fumbles. That is hard to do. I have been doing this for over 45 years and you are in the top five for good teachers.

  • @PhilsLab

    @PhilsLab

    4 жыл бұрын

    Thank you, Lee. That's very kind of you to say, very happy to hear that!

  • @georgetroulis
    @georgetroulis4 жыл бұрын

    About time a video like this exists. I'm taking control systems right now as an undergrad and I've been waiting to use that theory in practice. Your videos have been perfect for that transition. Perfectly timed :)

  • @PhilsLab

    @PhilsLab

    4 жыл бұрын

    Awesome, very glad to hear that - hope you can put the code here to use! :)

  • @romualdyap4708
    @romualdyap47082 жыл бұрын

    Thank you for the really well explained tutorial especially the implementation in the code. I was searching for something like this. This is exactly what I was looking for! Many thanks on your really awesome video!

  • @shaungovender7805
    @shaungovender78052 жыл бұрын

    As a fellow lover of microcontrollers and Signal Processing I absolutely love the content on this channel... I have to say that Phil does a great job of getting through the rather advanced mathematics and focuses on only the essentials. Great work.

  • @PhilsLab

    @PhilsLab

    2 жыл бұрын

    Thank you very much, Shaun!

  • @hvinstrumentsandparts1907
    @hvinstrumentsandparts19072 жыл бұрын

    Nice Work, one of the best PID explanations because its not in Matlab or Simulink. You actually see the anti-windup code

  • @DownTownDowns
    @DownTownDowns3 жыл бұрын

    By far one of the best KZreadrs at explaining both hardware and software. Clearly very knowledgeable, I am currently consuming your content as fast as possible

  • @PhilsLab

    @PhilsLab

    3 жыл бұрын

    Thank you very much for your kind comment! Definitely more videos to come as well :)

  • @bouipozz
    @bouipozzАй бұрын

    Great video thanks! Helped enormously with my 3rd year project. Nice to see the theory and practical being connected as this is often neglected and causes much difficulty

  • @kylemilner
    @kylemilner4 жыл бұрын

    Fantastic video Phil! Suggestion: Increase font size so we can see your code a bit easier. Keep the great content coming!

  • @PhilsLab

    @PhilsLab

    4 жыл бұрын

    Thank you, Kyle! That's a very good suggestion, I'll keep that in mind for future videos.

  • @sergeyzolotykh9872
    @sergeyzolotykh98725 ай бұрын

    It is by far the best video about PID, specially about practical implementation of the controller.

  • @akaHarvesteR
    @akaHarvesteR4 жыл бұрын

    Immediately subbed. This is probably one of the best videos on PID control out there, and AFAIK, the only one that does a good job of explaining how to implement one in real life, where computation is discrete and numerical noise is inescapable. Loved the idea of dt-on-measurement. Had never seen that before, and now I wish I had thought of that.... time to update my PID code!

  • @PhilsLab

    @PhilsLab

    4 жыл бұрын

    Thank you man, really glad to hear that. Yeah, I wish more people would actually show how to implement things in real-life, far too much time spent on theoretical learnings that don't translate 1-to-1.

  • @akaHarvesteR

    @akaHarvesteR

    4 жыл бұрын

    @@PhilsLab Very true. Oh, and I implemented a new PID controller based on yours just now, and it's a significant improvement over my old one! Many thanks! One thing I was still curious about, if I could ask for an elaboration, was on how you worked out the resulting expressions, especially for D. You mentioned using a bilinear transformation to transform values to discrete space, but your expressions have the transformation already folded in with the integration and diff. That was the one part where I had to just take your word for it, because algebra is really not my thing. In any case, most excellent video! Thanks again!

  • @NilsKullberg
    @NilsKullberg4 жыл бұрын

    What a nice video! - Informative and straight to the point. No frills. Just results. Big thanks!

  • @PhilsLab

    @PhilsLab

    4 жыл бұрын

    Thank you, very glad you liked it!

  • @GiancarloAllasia
    @GiancarloAllasia4 жыл бұрын

    I'm a mechatronics engineering student, I've covered a lot of theory about advanced control stategies, but we always skipped PID control and, most of all, its implementation in code. This video is fantastic, you have a very good skill in explaining clearly concepts and this is exactly what I was looking for to have a more practical grasp about such theoretical concepts. Well done!

  • @PhilsLab

    @PhilsLab

    4 жыл бұрын

    Really glad to hear that, thank you!

  • @osahonojo1897
    @osahonojo18972 жыл бұрын

    Thank you for this video! The explanation and example code were exactly what I was looking for.

  • @ObsidianJunkie
    @ObsidianJunkie4 жыл бұрын

    Just finished my ECE undergrad last month. Practical implementations of control systems in digital hardware is something that I never learned and wished was part of my curriculum. Excellent, thanks.

  • @PhilsLab

    @PhilsLab

    4 жыл бұрын

    Very glad to hear you found it helpful. Same for me when I was at university, lots of theory but effectively no mention of how to use it in practice.

  • @pkilo2811

    @pkilo2811

    4 жыл бұрын

    I agree with you perfectly. Most of the lecturers just teach what they read in a book and not implementers. As the author of AoE, Horowitz, said "Most Engineers of this age are rather applied Mathematicians always hiding behind equations"

  • @coorfang426
    @coorfang4264 жыл бұрын

    I've learned this PID knowledge in the university ~ 6 years ago. But it was definitely not as clear as your illustration and demonstration. Bravo.

  • @PhilsLab

    @PhilsLab

    4 жыл бұрын

    Very happy to hear that, thank you very much!

  • @theman3282

    @theman3282

    4 жыл бұрын

    same, i got c+ on control and system..

  • @felipegutierrez7856
    @felipegutierrez78564 жыл бұрын

    Very good explanation. I would add that the tracking error states the direction that the gain of the PID control will take. If the error is positive the gain will be positive, and vice versa.

  • @davebenemerito310
    @davebenemerito3104 жыл бұрын

    Probably my new favorite channel! Thanks for this videos man!

  • @PhilsLab

    @PhilsLab

    4 жыл бұрын

    Awesome - thank you!

  • @TonySingh7
    @TonySingh74 жыл бұрын

    Absolutely brilliant video! Many thanks for making this and showing the unity simulation as well, that was a new thing to see.

  • @PhilsLab

    @PhilsLab

    4 жыл бұрын

    Thank you very much! My pleasure, I'm glad you liked it!

  • @chuxu1647
    @chuxu16474 жыл бұрын

    Very impressed! The best I ever saw, clearly explained it in less than 20 minutes!

  • @PhilsLab

    @PhilsLab

    4 жыл бұрын

    That's very kind of you to say - thank you!

  • @alexbenitic
    @alexbenitic4 жыл бұрын

    You are the best Philip, this is by far the best PID video I've ever seen. Please make more such videos. Thanks a lot .!

  • @PhilsLab

    @PhilsLab

    4 жыл бұрын

    Thank you very much! Yes, got a larger control theory one lined up - going from theory through to practical implementation.

  • @thorntontarr2894
    @thorntontarr28942 жыл бұрын

    Phil, an amazing morning watch and followup; excellent use of references to read. I am invested in Arduino IDE now on VSC & PlatformIO so making your code compile directly may be a task but not impossible. So, just what hill am I climbing to get VSC & PlatformIO to be happy. However steep and tall that hill is, what you have theoretically discussed and digitally implemented is understood quite well thanks to your presentation style and knowledge. I will checkout the 6 part video series to learn more.

  • @nanajerry824

    @nanajerry824

    2 жыл бұрын

    DR RORPOPOR HERBAL on KZread changed my entire life with his herbal medicine. I appreciate you sir, for taken away my PID 🌿🌿🌿🌿

  • @Adrixcorp
    @Adrixcorp4 жыл бұрын

    really useful man, you took me back in time to review system control concepts

  • @PhilsLab

    @PhilsLab

    4 жыл бұрын

    Very glad to hear that, thank you!

  • @Gengh13
    @Gengh134 жыл бұрын

    Thanks for the video, it's well organized and really easy to follow, you are a great teacher. Subscribed.

  • @PhilsLab

    @PhilsLab

    4 жыл бұрын

    That's great to hear - thank you!

  • @ravimannanikkad884
    @ravimannanikkad8844 жыл бұрын

    First Time I am commenting on a video because you blew away me with your explanation/implementation skills. Thank you so much for the explanation

  • @PhilsLab

    @PhilsLab

    4 жыл бұрын

    Thank you very much, Ravi!

  • @tornadoflore
    @tornadoflore4 жыл бұрын

    Excellent video. Exactly what I was searching for.

  • @PhilsLab

    @PhilsLab

    4 жыл бұрын

    Thank you!

  • @michaelwirtzfeld7847
    @michaelwirtzfeld78473 жыл бұрын

    Clear and concise. Love the use of engineering paper!

  • @PhilsLab

    @PhilsLab

    3 жыл бұрын

    Thank you, Michael!

  • @benjaminpaik
    @benjaminpaik2 жыл бұрын

    It might be worth considering adding a separate variable to integrate the errors before multiplying the integral gain. The float (essentially being scientific notation in base 2) will stop integrating if the value you are adding (0.5 * Ki * (error + prevError)) drops below the LSB of the fractional portion of the float for a given exponent of the integrator. In other words, you can introduce a steady-state error that won't be resolved for sufficiently small errors. The effect is exacerbated for low values of Ki and T.

  • @nanajerry824

    @nanajerry824

    2 жыл бұрын

    DR RORPOPOR HERBAL on KZread changed my entire life with his herbal medicine. I appreciate you sir, for taken away my PID 🌿🌿🌿🌿

  • @ecarvalho17
    @ecarvalho174 жыл бұрын

    A video about tunning those parameters would be cool either. Nice content!

  • @PhilsLab

    @PhilsLab

    4 жыл бұрын

    Thank you! Yes, will be doing an extensive video on that in an upcoming video series on controller design!

  • @ayoublasbate
    @ayoublasbate3 жыл бұрын

    You did an amazing Job...Thank you sooo much...it really helped me out with my project about underwater drone!! Hope we'll see more content from you...peaaace!!!

  • @PhilsLab

    @PhilsLab

    3 жыл бұрын

    Awesome, thank you - very glad to hear that!

  • @vencibushy
    @vencibushy3 жыл бұрын

    This is a very nice information. I believe that the design can be further improved with a better anti-windup mechanism. Integrator clamping is a rather crude way to prevent the saturation of the control signal. A much better and elegant solution is the back-calculation algorithm which dynamically modifies the integrator. It's a simple yet very efficient solution. You need to impose a software saturation borders of your controller's output. Then you calculate the difference across this saturation. The resulting signal is now a second error in the system which is fed back via a negative feedback loop to the integrator's input. The signal can be further amplified(or attenuated) with it's own coefficient. For example - a microcontroller can be an effective linear controller when the output is PWM. If we assume a control signal implemented over 10-bit PWM the software saturation is 0 to 1023.

  • @BrianTCarcich

    @BrianTCarcich

    3 жыл бұрын

    [update: whoops, this may already be implemented in the updated anti-wind-up] /* or, more simply: */ p = ...; i = ...; d = ...; /* P, I, D terms */ out = p + i + d; /* sum to output */ out = (out>limMax) ? limMax : ((out

  • @bonafontciel
    @bonafontciel11 күн бұрын

    that's cool. I made one 2 years ago in C for a coolling system(control Fan via PWM) sold by a famous PC part vendor.

  • @avejst
    @avejst2 жыл бұрын

    Great walkthrough of the problems with PID's Great walkthrough of the implementation in C Thanks for sharing :-)

  • @nanajerry824

    @nanajerry824

    2 жыл бұрын

    DR RORPOPOR HERBAL on KZread changed my entire life with his herbal medicine. I appreciate you sir, for taken away my PID 🌿🌿🌿🌿

  • @thuctranminh2170
    @thuctranminh21704 жыл бұрын

    I'm really grateful for this video Phil!. It help me a lot. Thank you!!

  • @PhilsLab

    @PhilsLab

    4 жыл бұрын

    Really glad to hear that, thank you!

  • @kenwallace6493
    @kenwallace64934 жыл бұрын

    Well done and very applicable to digital power conversion. Modeling PID systems in a simulator like LTspice would be very useful.

  • @PhilsLab

    @PhilsLab

    4 жыл бұрын

    Thank you, Ken! I'll see if I can make a video on (PID) control in circuit simulators.

  • @lucasbertolossi1598
    @lucasbertolossi15982 жыл бұрын

    Hey Phil. Thank you for the video! I just have a question, isn't the term 1/(2tau +T) missing on the first derivative term? I know the minus sign has been fixed, but i think this is another mistake, or am I missing something? I implemented a PID controller without that term, and it worked after I tweaked the parameters, but just in case...

  • @CarlosDelcristo
    @CarlosDelcristo3 жыл бұрын

    Great video, thank you very much for sharing... looking forward to the next one

  • @PhilsLab

    @PhilsLab

    3 жыл бұрын

    Thank you, Carlos - more videos to come soon!

  • @StMartin81
    @StMartin815 ай бұрын

    Great video! What I would be interested in is how to derive the derivative part of the controller with the integrated low-pass filter. It looks like this is a very common problem but I haven't found a good video which describes the transformation of the transfer funtion from the laplace domain to the actual implementation in the discrete time domain.

  • @10e999
    @10e9994 жыл бұрын

    Great video. I'd like to see a software-focused follow up from your "Flight Control System Design: Hardware" video.

  • @PhilsLab

    @PhilsLab

    4 жыл бұрын

    Thank you! Yes, I'll be doing a video series on control system design, which includes software implementation, and also hope to make a video on the extended Kalman filter which runs on the FCS.

  • @quahntasy
    @quahntasy4 жыл бұрын

    *Thanks for such a great explanation and that too on my birthday*

  • @PhilsLab

    @PhilsLab

    4 жыл бұрын

    Thank you - happy birthday!

  • @alexeyveseliev106
    @alexeyveseliev1064 жыл бұрын

    Especial thanks for the filter in derivative channel!

  • @PhilsLab

    @PhilsLab

    4 жыл бұрын

    My pleasure, thank you!

  • @mrechbreger
    @mrechbreger3 жыл бұрын

    Thank you for explaining that topic!

  • @TheEmbeddedHobbyist
    @TheEmbeddedHobbyist4 жыл бұрын

    Hi Phil, maybe a follow up on tuning the PID, how to get to the set point in the quickest time but limiting over and undershoot. tuning and stability are often just off as I think they are harder than getting the loop running. great video and I will be looking at this for my next soldering iron software update.

  • @PhilsLab

    @PhilsLab

    4 жыл бұрын

    Thank you! I've actually got a video planned going from mathematical modelling, to controller design, to simulation, and finally through to real-world implementation. As you say, showing how to actually tune a control system and how theory compares with practice.

  • @superflanker07
    @superflanker074 жыл бұрын

    just a great explanation! Thanks for share these videos!

  • @PhilsLab

    @PhilsLab

    4 жыл бұрын

    My pleasure, thank you for watching!

  • @smith1401
    @smith14014 жыл бұрын

    Very detailed and clear explanation! Great video 👍 One thing though. Maybe you can increase the font size or the zoom level in you IDE for other videos for those of us watching on mobile phone screens :)

  • @PhilsLab

    @PhilsLab

    4 жыл бұрын

    Thank you! Yes, I unfortunately forgot about people watching this on phone screens - will definitely make the font size larger in upcoming videos. Sorry about that!

  • @smith1401

    @smith1401

    4 жыл бұрын

    Phil S no worries! You have really great content (I would also watch it if the font stays tiny) :D

  • @baskarv7975
    @baskarv7975 Жыл бұрын

    Dear Friend , I have no words to Thank You ,, I watched lot of Videos to Understand the PID but its really very hard to understand ,, Your video really makes me to understand the PID Very Clean and Nice Explanation Thanks a lottt ..... Very Very Helpful .. God bless you my dear friend. all other your videos are very very nice :) :)

  • @PhilsLab

    @PhilsLab

    Жыл бұрын

    Thank you, Baskar!

  • @HelmutTschemernjak
    @HelmutTschemernjak4 жыл бұрын

    Interesting topic, I did’t know about a PID controller until now. From a programming topic, I would create this PID controller in C++ which encapsulates it more like a re-useable PID block. For the float data types I would may use a template type to be flexible for different use cases with uint8_t, uint16_t, etc. as some MCU’s don’t offer float support and the software float simulation eats a lot flash memory. Great video, thanks.

  • @PhilsLab

    @PhilsLab

    4 жыл бұрын

    Thank you, Helmut. I like your ideas! Yes, C++ would offer a nicer way to make a class out of the PID controller. I tend to go with C these days, as I'm mainly programming for STM32s and C - to me - is just much better integrated than C++. And yeah, MCUs without a floating point unit will have a bit more work to do running this code. Then again, most PID scenarios will commonly only run at a few hundred Hz or kHz, and the update routine is not particularly math-heavy so I've been able to run this on things like Arduino Nanos. Even though these days all I work on is STM32s with floating point units haha. Thanks again for your comment!

  • @HelmutTschemernjak

    @HelmutTschemernjak

    4 жыл бұрын

    ​@@PhilsLab today MCUs have sufficient flash and memory resources that C++ works great with them. I work with STM32L0, L4, D21 and ESP32, the entire code written in C++. At present for embedded projects with Mbed-os and Arduino OS. Simple data structures like a dynamic list of objects, a hash map etc. all this is available in C++ with good documentation without re-inventing algorithm in C where basic little support is given by the C library, with C++ all this is included. I started some time ago with Silicon Labs MCUs doing basic low level stuff like an async serial. When I moved to STM, all this was different and it was needed to start over again for basic stuff like a async serial or a simple timers. Basically wasting my engineering efforts without being able to bring my work to a new platform like Atmet D21. With Mbed-os all this is much better because Mbed OS has identical C++ APIs for all major ARM based MCUs, there are about 150 development boards available from different vendors all Mbed-os compatible. For ArduinoI wrote on top of Arduino Mbed-OS compatible IO and timer libraries. This means for larger projects my C++ code is 98% identically for different MCUs even across OS’s like Mbed and Arduino. For a software engineer re-purposing code boosts productivity brings more stable and maintainable code. Focusing on the solution and being flexible to support entirely new MCU vendors is something where clean C++ Code blocks can help. Regards from Hannover, Germany. Helmut

  • @eduardoc1252
    @eduardoc12525 ай бұрын

    Great video Phil! What is the alpha in TestSystem_Update function used to calculate the output?

  • @diocorissosa4448
    @diocorissosa44483 жыл бұрын

    Thank you for sharing. I do have a question. In the code, I see that actually coded the tick time "Tau". I've read in a microcontroller forum that Tau is not needed to be coded because it is taken care of every time the new sensor value is obtained in a tick fashion. It is confusing, since I see some code include the time variable and some code don't. Can you please explain?

  • @Giblet535
    @Giblet5354 жыл бұрын

    Friday evening, and an implementation of PID controllers. Perfect! I wish mathematicians wrote out their formulas in C. Translating from meat puppet is tedious.

  • @PhilsLab

    @PhilsLab

    4 жыл бұрын

    Thank you! Yeah, I wish more control theory books would have more snippets of actual code..

  • @steefant

    @steefant

    4 жыл бұрын

    @@PhilsLab when looking at actual code written by control theorists i am not so sure that would be a good thing... ;)

  • @doco6186
    @doco61864 жыл бұрын

    Very informative and well presented

  • @PhilsLab

    @PhilsLab

    4 жыл бұрын

    Thank you!

  • @PawlTV
    @PawlTV3 жыл бұрын

    Awesome tutorial! Everything I needed! :)

  • @PhilsLab

    @PhilsLab

    3 жыл бұрын

    Thanks for watching, Paul!

  • @tttuberc
    @tttuberc Жыл бұрын

    Great video and easy to understand. Also I'm so glad to have found your channel which has lots of great contents.

  • @miladchalipa2002
    @miladchalipa20023 жыл бұрын

    Thanks for the useful Video, I decided to implement your PID algorithm to Temperature control of 1000 degrees furnace and wondering how to determine TAU and sample time. Note that my microcontroller will generate 2 seconds PWM (slow PWM) and I will control the temperature through Duty Cycle. regards

  • @SuburbanDon
    @SuburbanDon5 ай бұрын

    This is great Thanks ! You've made life a bit easier for many of us semi-boneheads.

  • @PhilsLab

    @PhilsLab

    5 ай бұрын

    Thanks, Don!

  • @darkstar2111
    @darkstar21114 жыл бұрын

    14:48 - As the guy who reviews the other people code for living I do really appreciate making the code easier to read rather than super fancy, short and 'sophisticated'. Especially in C# or JavaScript where you have at least 40 ways to achieve same thing and new syntactic sugars every two years.

  • @PhilsLab

    @PhilsLab

    4 жыл бұрын

    I'm glad to hear that! Although not primarily a software guy myself, I try my best to make my code as easy-to-read as possible. I've been meaning to read 'Clean Code' for a while but still hasn't happened yet - one day...

  • @kubsztal
    @kubsztal4 жыл бұрын

    This is pure gold, subscribed :)

  • @PhilsLab

    @PhilsLab

    4 жыл бұрын

    Thank you!

  • @klave8511
    @klave85114 жыл бұрын

    One important attribute for controlling mechanical actuators is to avoid constant tiny adjustments. If the measurement is noisy and that translates to continuously changing an actuator, the increased wear from the jitter type adjustments leads to premature failure. This can be mitigated right at the controlled device by, for example, using a slotted coupling so that there is a bit of hysteresis. It should really be part of the control system, be it PID or any other.

  • @PhilsLab

    @PhilsLab

    4 жыл бұрын

    Yes, that's a great point and something I only broadly hinted at with the 'derivative amplifies HF noise' part, but should have explicitly mentioned that this over-actuation due to noise in a control system will cause actuator wear.

  • @emregozkaya2630
    @emregozkaya26304 жыл бұрын

    Thank you, nice presentation, good job 👍

  • @PhilsLab

    @PhilsLab

    4 жыл бұрын

    Thank you!

  • @diggleboy
    @diggleboy3 жыл бұрын

    This lecture takes me back to classical control systems and their design. Great presentation with the math and examples. Very important when it comes to controls systems in vehicles of all kinds, especially high speed, high performance and high agility systems: Fighter aircraft, Formula 1 race cars, guided rocket systems and so much more.

  • @PhilsLab

    @PhilsLab

    3 жыл бұрын

    Thank you! Yeah, control systems are absolutely everywhere. Incredibly important in almost all areas of engineering.

  • @DeejayGrafixx
    @DeejayGrafixx4 жыл бұрын

    just stumbled upon this today subed and liked before watching

  • @PhilsLab

    @PhilsLab

    4 жыл бұрын

    Haha that's great, thank you!

  • @nikolatotev
    @nikolatotev3 жыл бұрын

    I have a question regarding the use of the PID controller. For example, you have to balance a bar at a set angle with two motors on the ends (something like half of a quadcopter). The measurement is the current angle or the angular rate of the system. The input into the plant is some sort of number for example from 125-250 (min to max throttle). My question is - what kind of unit does the PID controller work in and how is the unit selected? On one hand, it's good for it to work with the input from the gyro since that's how the system determines the error between the desired angle and the current angle, but on the other hand, its good for it to work with the throttle value, because that's what the PID is supposed to output.

  • @RaoulRacingRC
    @RaoulRacingRC4 жыл бұрын

    Nice video! Could you also explain how a PID controller works for positioning a DC-motor with an encoder for example? Would love to see how to implement such a PID controller in C

  • @PhilsLab

    @PhilsLab

    4 жыл бұрын

    Thanks! In an upcoming series I'll go more into detail on how to tune/design a control system. Not quite a DC-motor example, but definitely very applicable to that as well. Hope that will help!

  • @schultzbach5287
    @schultzbach52874 жыл бұрын

    Wow this is really awesome! Thank you!!

  • @PhilsLab

    @PhilsLab

    4 жыл бұрын

    My pleasure, thank you!

  • @zyghom
    @zyghom2 жыл бұрын

    UNBELIEVABLE GOOD! thx mate

  • @kunalsalvi8382
    @kunalsalvi83824 жыл бұрын

    Another great video. Cheers, mate !!!!!

  • @PhilsLab

    @PhilsLab

    4 жыл бұрын

    My pleasure, thank you!

  • @KJ7NLL
    @KJ7NLL3 жыл бұрын

    Thank you, I am going to use this for my antenna rotor controller that has phi and theta to track satellites. Me and my dad are currently trying to contact the International Space Station using the rotor controller!

  • @PhilsLab

    @PhilsLab

    3 жыл бұрын

    Awesome, hope your antenna tracker works out!

  • @KJ7NLL

    @KJ7NLL

    Жыл бұрын

    @@PhilsLab The antenna tracker works, here it is! kzread.info/dash/bejne/qKag2ZaKgK6zgrw.html

  • @aashishranjan8951
    @aashishranjan89513 жыл бұрын

    awesome explanation

  • @thinkingthing4851
    @thinkingthing48514 ай бұрын

    Thank you!!!!!🎉 Needed this

  • @rjgonzalez8108
    @rjgonzalez81084 жыл бұрын

    Great content! What textbooks have you found helpful in understanding control theory? Preferably, optimal control and it's practical considerations?

  • @PhilsLab

    @PhilsLab

    4 жыл бұрын

    Thank you! In general, I personally really like 'Modern Control Systems' by Dorf and Bishop. Covers everything from basic to intermediate control theory with many examples along the way. If you're only after something on digital control systems, I'd recommend 'Digital Control of Dynamic Systems' by Franklin. Regarding optimal control, I must say I haven't come across particularly 'practical' textbooks. If you've heard of H-Infinity control, that is something I used for my final year project at university (self-balancing bicycle): philsal.co.uk/wp-content/uploads/2019/08/FinalReport.pdf

  • @rjgonzalez8108

    @rjgonzalez8108

    4 жыл бұрын

    @@PhilsLab thanks!

  • @anandpatel986
    @anandpatel9863 жыл бұрын

    Is there any guidance of the integrator limits in relation to the output limits ? I want to use this in a motor control application, where my rotation sensors report between 0-200, and can control rpm of motor between 0-100. Btw, this channel is awesome. I've built a number of PCBs based on the guidance you've provided - all worked first time :)

  • @zyntist
    @zyntist3 жыл бұрын

    Thank you very much for your videos, you are a beast!! Please DO NOT STOP (EVER) and excuse my stupidity but i have to ask. I tested your code and of course it works perfectly, but I would like to understand why (when you simulate the first order system update) the output of the plant is: output = (SAMPLE_TIME_S * inp + output) / (1.0f + alpha * SAMPLE_TIME_S); I'm not grasping that and it's haunting me. Much love from Spain ^^

  • @PhilsLab

    @PhilsLab

    3 жыл бұрын

    Thank you very much for your kind words! No worries, basically I start from the continuous time, first-order system: x' = -alpha * x + u. Then we can approximate the derivative to be: x' = (x[n] - x[n-1]) / T - where T is the sample time in seconds, such that: (x[n]-x[n-1])/T = -alpha * x[n] + u[n]. Then, rearranging: x[n] * (1 + alpha * T) = u[n] * T + x[n-1]. And rearranging again: x[n] = (T * u[n] + x[n-1]) / (1 + alpha * T). Which is the expression you see in the code. Let me know if that helps!

  • @zyntist

    @zyntist

    3 жыл бұрын

    ​@@PhilsLab It absolutely does, thank you master ^^ As you are so kind I'm gonna bother you with a last question. Could you recommend me the best (complete and to the point) book/tutorial in your opinion to review/master control systems theory from a practical point of view? I'm working in a new job with stm32, just testing and validating hw/sw at the moment, but I will need to dive into motion control design problems soon. My background was a very wide industrial engineering and ended working programming PLCs in the automotive industry (no analog control). I finally got out of that hell and found a cool job but I have some gaps and need to refresh this as I never got the chance to implement the things I really loved to study. Sorry for the long post

  • @mikegenco9646
    @mikegenco9646 Жыл бұрын

    Equations in PIDController_Update reduce to output or measurement =.98 pid.out. other factors must be artifacts from past alternatives. I am somewhat familiar with Laplace and Z transform but would appreciate a detailed documentation of each and every step starting with basic differential equations for PID through Z transform. I have started with your code and I am converting it to run in real time on an Arduino mega and will incorporate changes to gains, setpoint, unwinding limits and hopefully also graph in real time but Arduino IDE 2.o3 is new to me having used 1.86 for years. Thanks much for your help.

  • @ahsdjasashdahs9940
    @ahsdjasashdahs9940 Жыл бұрын

    Thank you very much mate this is a life saver !

  • @PhilsLab

    @PhilsLab

    Жыл бұрын

    Glad to hear that - thanks for watching!

  • @timowolff1105
    @timowolff11054 жыл бұрын

    Thank you for this greatful video explanation. One question which values did you choose for the kp, ki and kd gains and how did you choose them? Thank You very much!

  • @PhilsLab

    @PhilsLab

    4 жыл бұрын

    Thank you very much! Tuning the controller is actually quite an involved process and unfortunately it'd be a rather lengthy reponse. I am making a new video series on control system design, where I'll be going into detail on how to choose those parameters.

  • @lucasbertilho2055

    @lucasbertilho2055

    2 жыл бұрын

    ​@@PhilsLab This would still be really appreciated.

  • @David_94
    @David_944 жыл бұрын

    Nice video, the next one could be something like "PID Controller Implementation on microcontroller" explaining the interruptions

  • @PhilsLab

    @PhilsLab

    4 жыл бұрын

    Thanks, David - yes, in the latest video series (Control System Design) I show an actual implementation on a microcontroller.

  • @usmanhaider4653
    @usmanhaider4653 Жыл бұрын

    Great work thanks. Question. What is difference between tau and sampling Time?

  • @TobiasvN
    @TobiasvN4 жыл бұрын

    Hi Phil. Great Videos over all. Just the right mixture of being not too specific or too general. I have a question: How do you get good Kp, Ki and Kd values for your System without trial and error? I had to build some PID control loops running on STM32 and did that almost like you did. The real struggle was finding those values!

  • @PhilsLab

    @PhilsLab

    4 жыл бұрын

    Hi Tobias, Thank you very much! That's a very good question and something that would probably take quite a few paragraphs to answer. I am planning on making another video on how to design/tune a PID controller for a real-world system, going through theory to arrive at the gains, and including the final implementation and demonstration using an STM32. This will most likely be on a propeller-based pendulum (aeropendulum, I believe it's usually called). I am happy to try and write up a couple paragraphs on how I'll be calculating the gains before the video is released if that would help? Have you had any experience with control theory? I hope to have the video up in the next two weeks, just waiting on the parts to arrive. The 'trial and error' method, most straightforward, and least theoretical way is to tune the controller gains in real-time while the system is running, which I assume is what you have been doing - this may of course not always be possible. But if it is, start off with all gains zero. Then increase the P gain until you get a fast enough response with minimal overshoot. If you have some steady-state offset/error, you need to add I gain. If this causes the system to start oscillating, try adjusting (decreasing) the P gain or add a touch of D gain. As you see, this is still very much trial and error, but maybe a bit more guided. There's also a method called 'Ziegler-Nichols', which is often mentioned in textbooks.

  • @huseyinyurdakul4190

    @huseyinyurdakul4190

    4 жыл бұрын

    ​@@PhilsLab Hi from Turkey, Phil . Firstly thanks for this video and we look forward to STM32 presentation.

  • @AdoobII25
    @AdoobII253 жыл бұрын

    you are the best! I really love your channel!

  • @PhilsLab

    @PhilsLab

    3 жыл бұрын

    Thank you, Mohammed!

  • @WetTheSystem
    @WetTheSystem2 жыл бұрын

    Where would you suggest putting functionality for limiting the change limit of the output (i.e. no more than 1% per period) without causing max wind-up in the integrator?

  • @nafisahmed6247
    @nafisahmed62475 ай бұрын

    a brief explanation of the choice of tau and T would be very much appreciated.

  • @samibahlous979
    @samibahlous9798 ай бұрын

    Nice work ! I just want to ask you how can we determine the value of Tau that we will use it in the filter part . Thank you .

  • @owenplanchart
    @owenplanchart3 жыл бұрын

    thanks very much for this tutorial. Could you please explain the difference between T and tau. Sampling time vs Time constant for the filter? Where do we get its value from? How do we use this: (-3dB frequency in Hz, fc = 1 / (2*pi*tau))?

  • @iamAK47

    @iamAK47

    2 жыл бұрын

    Good question

  • @chenhaoting235
    @chenhaoting235 Жыл бұрын

    thanks for your detailed tutal. Two question, in your github code: pid->differentiator = -(2.0f * pid->Kd * (measurement - pid->prevMeasurement) /* Note: derivative on measurement, therefore minus sign in front of equation! */ + (2.0f * pid->tau - pid->T) * pid->differentiator) / (2.0f * pid->tau + pid->T); 1.Kd use positive value? 2. why not caculate differentiator part int the way below? pid->differentiator = -(2.0f * pid->Kd * (measurement - pid->prevMeasurement) /* Note: derivative on measurement, therefore minus sign in front of equation! */ - (2.0f * pid->tau - pid->T) * pid->differentiator) / (2.0f * pid->tau + pid->T); thanks very much.

  • @icnmamun
    @icnmamun Жыл бұрын

    Hi Phil it is a very helpful tutorial. Wondering how would you select the tau. thanks

  • @nightrook5732
    @nightrook57324 жыл бұрын

    Our college is all about theory and no shit given about practical side. I always wanted to know the implementation. Thanks for sharing this!!!!

  • @PhilsLab

    @PhilsLab

    4 жыл бұрын

    Was the same for me at uni.. :( Glad you found the video helpful!

  • @SrikanthChilivery
    @SrikanthChilivery3 жыл бұрын

    Thank you very much. I am planning to use your algorithm for industrial control (add few features). Being control engineer I really don't understand Control Modelling. Can u share reference study material you suggest for understanding and design of PID controller?

  • @kimollivier
    @kimollivier4 жыл бұрын

    How ignorant I was to write a sludge pump controller in assembler for a 6800 chip (not the Motorola one) that emulated a PDP8 mini computer. I tested it on a model and it worked. I was lucky in 1979. I wasn't aware of PID but it's obvious now. At the time there were no digital controllers, they were all analog and there wasn't anything for a pneumatic pump. I managed to increase the percent solids from 1% to 8% which was thought to be impossible. It still flowed and saved a lot of heat energy. I only had a few hundred 12 bit words. How large is the compiled code? I started programming by hand in octal, but found a cross assembler written in Fortran IV that ran on a mainframe. I could print out the code and enter it by hand. Burning a ROM was a major undertaking. The original language assumed magnetic core memory where the return address of a subroutine was written into the first word of the subroutine and the return was a relative jump using the value. Can't do that in a ROM.

  • @PhilsLab

    @PhilsLab

    4 жыл бұрын

    Thanks for your comment, Kim! To be honest, what you did with the 'limited' technology at the time seems far more impressive to me than writing this little PID C program I did here! Would have loved to have been around as an engineer back in the 70s/80s. The code here takes up about 4kB of memory (and a couple tens of bytes of RAM).

  • @NicozStrat
    @NicozStrat3 жыл бұрын

    OMG this channel is so much interesting

  • @PhilsLab

    @PhilsLab

    3 жыл бұрын

    Thank you!

  • @iamAK47
    @iamAK472 жыл бұрын

    Very nice explaination, could you perhaps show it in an embedded system perhaps flash it on a pic and show the real time effects of it.

  • @davoodseify3624
    @davoodseify36244 жыл бұрын

    very informative thank you so much

  • @PhilsLab

    @PhilsLab

    4 жыл бұрын

    My pleasure, thank you!

  • @mahoneytechnologies657
    @mahoneytechnologies6574 жыл бұрын

    is the source Available to print out so easier to follow? Great Work, easy to follow and to understand!

  • @PhilsLab

    @PhilsLab

    4 жыл бұрын

    Thank you! Yes, the source code is here: github.com/pms67/PID

  • @nuwana2208
    @nuwana22084 жыл бұрын

    Excellent video.

  • @PhilsLab

    @PhilsLab

    4 жыл бұрын

    Thank you!

  • @Orion2223dz
    @Orion2223dz4 жыл бұрын

    It's really amazing

  • @PhilsLab

    @PhilsLab

    4 жыл бұрын

    Thank you!

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