A Conceptual Approach to Controllability and Observability | State Space, Part 3

Ғылым және технология

Check out the other videos in the series: • State Space
Part 1 - The state space equations: • Introduction to State-...
Part 2 - Pole placement: • What is Pole Placement...
Part 4 - What Is LQR Optimal Control: • What Is Linear Quadrat...
This video helps you gain understanding of the concept of controllability and observability. Two important questions that come up in control systems engineering are: Is your system controllable? And is it observable? Assuming you have a good linear model of your system, you can answer both questions using some simple matrix operations and the A, B, and C matrices of your state-space model.
In this video, we’re going to approach the answers from a conceptual and intuitive direction.
References:
- Create, analyze, and use state-space representation for control design with MATLAB and Simulink: bit.ly/2HrtZQy
- Steve Brunton - Control Bootcamp: bit.ly/2HrWAFm
--------------------------------------------------------------------------------------------------------
Get a free product Trial: goo.gl/ZHFb5u
Learn more about MATLAB: goo.gl/8QV7ZZ
Learn more about Simulink: goo.gl/nqnbLe
See What's new in MATLAB and Simulink: goo.gl/pgGtod
© 2018 The MathWorks, Inc. MATLAB and Simulink are registered
trademarks of The MathWorks, Inc.
See www.mathworks.com/trademarks for a list of additional trademarks. Other product or brand names may be trademarks or registered trademarks of their respective holders.

Пікірлер: 78

  • @BrianBDouglas
    @BrianBDouglas5 жыл бұрын

    Hey everyone, thanks for watching this video! If you have any questions or comments that you'd like me to see, please leave them under this comment so that I get notified and can respond. Cheers!

  • @prashantajabe2693

    @prashantajabe2693

    5 жыл бұрын

    Make video on the how to interpret sensor data.

  • @benallia8262

    @benallia8262

    5 жыл бұрын

    exactly what i asked! thank you brian :D

  • @gosayeweldemaryam2415

    @gosayeweldemaryam2415

    5 жыл бұрын

    Hi brian I'm from ethiopia. Your videos are exceptional. I'm truly satisfied. I thank you. My question is that can you do such videos on linear quadratic regulator (LQR)?

  • @BrianBDouglas

    @BrianBDouglas

    5 жыл бұрын

    @@benallia8262 Glad to hear it!

  • @BrianBDouglas

    @BrianBDouglas

    5 жыл бұрын

    @@gosayeweldemaryam2415 I'm finishing up a video on LQR right now! Should post next week.

  • @kaipn9763
    @kaipn97635 жыл бұрын

    You and Steve Brunton are 2 gems of control systems.!

  • @ramisketcher2069

    @ramisketcher2069

    5 жыл бұрын

    Indeed! ;)

  • @triagung2497

    @triagung2497

    3 жыл бұрын

    I couldn't agree more!

  • @turbotoblast4

    @turbotoblast4

    3 жыл бұрын

    As true as it gets.

  • @oldcowbb

    @oldcowbb

    2 жыл бұрын

    i just realize both of them are from Seattle

  • @jagadishkumarmr1067

    @jagadishkumarmr1067

    Жыл бұрын

    I would say Katkim show and Christopher Lum(especially for aerospace) are can be added to the list..! Its just amazing that anyone can learn anything over the internet!

  • @wiloberlies9598
    @wiloberlies95985 жыл бұрын

    Really nice job Brian, you're right to be proud of this one...excellent explanation with well-chosen examples. Thank you for this!

  • @victorthepaduani
    @victorthepaduani5 жыл бұрын

    This deserves 100K+ views. Good job, Brian. Stay productive!

  • @HerChip
    @HerChip4 жыл бұрын

    Such a practical example (the beam) at the end makes things so much more logic (unobservable modes) than I learned in class

  • @thegent5167
    @thegent51672 жыл бұрын

    This is a fantastic explaination of the topic and gave me a better and clearer view of controllability and observability. Thanks a lot!

  • @divyanshsati1116
    @divyanshsati11162 жыл бұрын

    God bless you Brian, finally could understand the intuition behind all that math!

  • @shuvodev3708
    @shuvodev37085 ай бұрын

    Thank you Brian

  • @mpja
    @mpja4 жыл бұрын

    This definitely helps the intuition. Good video!

  • @ashkabrawn
    @ashkabrawn4 жыл бұрын

    Omg... I just came here after watching Steve's series !! Thanks for the pointers

  • @patrickayivor2406
    @patrickayivor24064 жыл бұрын

    Simple explanation with powerful examples

  • @Daniboy370
    @Daniboy3702 жыл бұрын

    Probably the most useful video I happen to come across

  • @demisbooo743
    @demisbooo743 Жыл бұрын

    Great explanation! Thank you so much!

  • @mukuljobra3972
    @mukuljobra39722 жыл бұрын

    Hey! I have watched your lectures on your KZread channel and it is good to see you here again on this MATLAB channel. Great explanation...nice work...Sir 😊

  • @spectra5024
    @spectra5024 Жыл бұрын

    Your videos are art, thanks dude!

  • @johnfrobin
    @johnfrobin4 жыл бұрын

    Excellent video. Thank you.

  • @daouadiwalid5491
    @daouadiwalid54915 ай бұрын

    That car driving example hits hard ... Brian shows that perfect examples could exists!

  • @BrianBDouglas

    @BrianBDouglas

    5 ай бұрын

    Thanks!

  • @AhmedMagdy-xb8bl
    @AhmedMagdy-xb8bl5 күн бұрын

    Man you are awesome. Thank you very much.

  • @pravinpalve3771
    @pravinpalve377116 күн бұрын

    why this video does not have million likes?

  • @SteveJobzz
    @SteveJobzz3 жыл бұрын

    I was looking for a brian douglas video on this topic and I was disappointed to not find any. This is a pleasant surprise!

  • @blitz8229
    @blitz82293 жыл бұрын

    Thank you for this video!

  • @pedrobenevenutovaladares9734
    @pedrobenevenutovaladares97343 жыл бұрын

    Fantastic video !

  • @dallasdominguez9501
    @dallasdominguez9501 Жыл бұрын

    Another Brian Douglas Hood Classic👌

  • @qamarkilani551
    @qamarkilani5515 жыл бұрын

    Hi Brian Many Thanks for your great videos , do you have notes/slides that can be shared in pdf format ?

  • @abdelz1617
    @abdelz161710 ай бұрын

    Great video!

  • @shmoodiee6173
    @shmoodiee61734 жыл бұрын

    Amazing stuff

  • @vivekmech1
    @vivekmech15 жыл бұрын

    Hi Brian , awesome work! May I know which software you use for this illustrations? Thanks

  • @thelegendkilleragab
    @thelegendkilleragab5 жыл бұрын

    Hello Brian, can you please make a lecture about stabilizability and detectability? those are very confusing terms. Thank you

  • @learningexploring5717
    @learningexploring57173 жыл бұрын

    Thank you for sharing :)

  • @yinarodriguez6672
    @yinarodriguez66722 жыл бұрын

    Nice to find Brian here!

  • @blessoneasovarghese9834
    @blessoneasovarghese98343 жыл бұрын

    Could you please tell me why will C-matrix be zero when states are not measurable. Also what could be the output y in the examples of train and car? What role do output y and C-matrix play in observability, conceptually?

  • @manerlind
    @manerlind Жыл бұрын

    Это просто превосходно!

  • @zeeshangla
    @zeeshangla5 жыл бұрын

    Hey! good Job Sir, Hello All.... Is there any specialized Power system course using SIMULINK

  • @hyperduality2838
    @hyperduality28385 жыл бұрын

    Controllability is dual to Observability Poles (eigenvalues) are dual to Zeroes The Initial value theorem IVT is dual to the Final value theorem FVT Stability is dual to instability Robustness is dual to performance Complex numbers are dual to real numbers In physics equivalence, similarity is also known as duality, so we have the the following duals (Jewels):- Energy is equivalent or dual to mass -- Einstein Gravitation is dual to acceleration --- Einstein Potential energy is dual to kinetic energy Space is dual to time -- Einstein Certainty is dual to uncertainty, the Heisenberg certainty/uncertainty principle Energy is literally duality. Energy is transported by the electromagnetic field in the form of photons or wave/particles, quantum duality. Energy is inherently dual. In physics everything is made out of energy hence duality. If energy is conserved and energy is duality then duality must be conserved! The conservation of duality is the fifth law of thermodynamics. Negative curvature is dual to positive curvature (Riemann, Gauss) Hyperbolic geometry is dual to elliptic, spherical geometry A white hole (big bang, divergence) is dual to an infinite mass black hole (convergence) In mathematics: Integration is dual to differentiation Duality creates reality, all observers are inherently dual if they are made out of energy Genes are dual to memes Everything (all things) is/are dual to nothing.

  • @ashkabrawn

    @ashkabrawn

    4 жыл бұрын

    Did you just cover Heisenberg in more ways than he himself pictured.. 😉😅

  • @hyperduality2838

    @hyperduality2838

    4 жыл бұрын

    @@ashkabrawn Dark energy is dual to dark matter! Thesis is dual to anti-thesis -- the generalized or time independent Hegelian dialectic. Hegel's cat: Alive (thesis, being) is dual to not alive (anti-thesis, non being) -- Schrodinger's cat. Immanuel Kant: Synthetic a priori knowledge, all knowledge is dual. Philosophy, physics, mathematics, control theory all lead to duality! "Philosophy is dead" -- Stephen Hawking. It looks like Mr Hawking got this one wrong! No philosophy = no duality.

  • @ashkabrawn

    @ashkabrawn

    4 жыл бұрын

    @@hyperduality2838 what is the duality for universe, biverse and multiverse ?

  • @hyperduality2838

    @hyperduality2838

    4 жыл бұрын

    @@ashkabrawn The future is dual to the past. Many worlds (possibilities) or the multiverse would be the future and the one world or universe (reality) is the past. The present or the 'now' is therefore the duality or the biverse. The future meets or intersects the past in the present via duality! Noumenal (before measurement, a priori) is dual to phenomenal (after measurement, a posteriori). Deduction (rational) is dual to induction (empirical) -- Immanuel Kant. Positive is dual to negative. Duality converts possible worlds into the real world or probability = 1. Time is dual:- My absolute time is your relative time and your absolute time is my relative time. Absolute time (Galileo) is dual to relative time (Einstein).

  • @ravikiran4495

    @ravikiran4495

    5 ай бұрын

    so ying and yang

  • @MarcusViniciusMO
    @MarcusViniciusMO2 жыл бұрын

    Using reconstructed velocity, by position diferentiation, and these same positions as output can bring more information to estimate other states?

  • @PlayboyHZ
    @PlayboyHZ4 жыл бұрын

    Would have been nice of some demonstrations in matlab/simulink, just like part 2

  • @jairguilhermecertorio6362
    @jairguilhermecertorio63624 жыл бұрын

    Your definition of controllability is actually reachability, in continuous systems they are equivalent but for discrete systems they are not. To be reachable the system must be able to go from your initial state to any other state, to be controllable the system must be able to go from any initial state to zero. In discrete systems it is easy to see that a A = [0 0; 0 0] would be controllable (gets to zero from any point in one sampling without depending on B), but it would only be reachable if B = [1 0; 0 1] (individually control each state). Great video nonetheless.

  • @eatctitox
    @eatctitox5 жыл бұрын

    Love your videos! Can you please explain why is the D matrix usually regarded as zero in college courses?

  • @samchan5251

    @samchan5251

    5 жыл бұрын

    To my understanding. D matrix is the direct feed through term, the input will change your measurement (y) directly, not through the system evolution (Ax). And this type of system is rare (never see and cannot think of one). Note that if D is non-zero, the transfer function will not be strictly proper. Another reason maybe, because the maths is the same with or without D being zero, college courses usually design to be easy to understand and illustrate the key concept.

  • @samchan5251

    @samchan5251

    5 жыл бұрын

    Just something came up in my mind. If you are discretizating a continuous time system, it is likely that the resulting discrete system (Ad,Bd, Cd,Dd) Dd is non-zero. I think there is a paper talks about discretization will introduce something call "sampling zeros". Even the continuous model is strictly proper, the discretized system will not be.

  • @tushermyth
    @tushermyth3 жыл бұрын

    wow!

  • @vineetverma6645
    @vineetverma66454 жыл бұрын

    When we judge people from outside based on their color or financial status, we are observing only a handful of states, and thus we end up fooling ourselves

  • @hyperduality2838
    @hyperduality28385 жыл бұрын

    Correction to my earlier mistake:- A white hole (big bang, divergence) is dual to an infinite mass black hole (convergence) Dark energy is literally hyperbolic geometry or negative curvature Positive is dual to the negative.

  • @achmadfatoni2555
    @achmadfatoni25553 жыл бұрын

    Bnhihhhh

Келесі