Feedback Linearization | Input-Output Linearization | Nonlinear Control Systems

Topics covered:
00:00 Introduction
01:33 Vector Field
01:54 Lie Derivative
03:07 Relative Degree of Output
08:28 Input-Output Linearization
Lecture 23 | Feedback Linearization | Input State Linearization (previous video) - • Feedback Linearization...

Пікірлер: 33

  • @hamdiakram7387
    @hamdiakram73874 жыл бұрын

    You are the best teacher keep going

  • @Topperly

    @Topperly

    4 жыл бұрын

    Your words mean a lot to us! Thank you :)

  • @hangao6191
    @hangao61912 жыл бұрын

    Thank you so much for explaining it so well!

  • @Topperly

    @Topperly

    2 жыл бұрын

    Glad you liked the video :)

  • @aslamnat7812
    @aslamnat78122 жыл бұрын

    Very helpful, Please keep it going on. Thanks.........................................

  • @neel8554
    @neel8554 Жыл бұрын

    thnk u mam

  • @noufelbelbecir6209
    @noufelbelbecir62093 жыл бұрын

    nice and easy to undrestand, best continuation ;)

  • @Topperly

    @Topperly

    2 жыл бұрын

    Thanks! 😃

  • @rutvijchitroda5814
    @rutvijchitroda5814 Жыл бұрын

    very well explained....thankyou from Germany and keep it up

  • @Topperly

    @Topperly

    Жыл бұрын

    Thank you for your kind words :)

  • @VegeTaleNO1
    @VegeTaleNO1 Жыл бұрын

    Question: I'm simulating a NL system in simulink, I correctly make the system track a constant reference by I/O-FBLing (with relative degree 1) in the internal loop then PI-controlling in the external loop; I scoped both ausiliar control v and output y then I added an integrator out of the loops to scope integral(v), I found out y approaches a constant value and v does it as well, while integral(v) approaches infinity with linear increase... why so? Shouldn't I have y'=v y=integral(v)?

  • @sricharansureshkumar1471
    @sricharansureshkumar14712 ай бұрын

    1:33 u showed an example of vector fields. you took a space of R^2 and had 4 states (x1, x2, x3 and x4). shouldn't there be only 2 states(x1 and x2)? or am i wrong?

  • @jsn149
    @jsn1492 жыл бұрын

    the best

  • @Topperly

    @Topperly

    2 жыл бұрын

    :)

  • @guillermoolay4416
    @guillermoolay44163 жыл бұрын

    The best curses that i have taken, ¿do you know about slindign control? maybe you could show us in this curses

  • @Topperly

    @Topperly

    3 жыл бұрын

    It's part of our future plans. Kindly expect delay though :)

  • @vineeshmv1174
    @vineeshmv11744 жыл бұрын

    Good job

  • @Topperly

    @Topperly

    4 жыл бұрын

    Thank you! Your appreciation means a lot :)

  • @saqibirfan9815
    @saqibirfan9815 Жыл бұрын

    sir do you have any video lecture where relative degree and order of the system should be 3

  • @natiaschalew6300
    @natiaschalew63002 жыл бұрын

    i really appreciate what u do keep going!!! and i have one question why do we make y(double dot) equals to y(dot) and x1(dot) at 6:00 rather equals to x2(dot) like previous example 4.:09??

  • @Topperly

    @Topperly

    2 жыл бұрын

    Hi Nati, Thank you for your kind words :) At 04:09, it is given in question that x1(dot) = x2. But we also know from question that y = x1. Differentiating (x1 = y) gives us x1(dot) = y(dot) = x2[From first equation mentioned]. Now if we differentiate this equation again, we get x1(double dot) = y(double dot) = x2(dot). But when it comes to example at 06:00, it is given in question that x1(dot) = x1. Also, from question, y = x1. Differentiating (y = x1) gives us y(dot) = x1(dot) = x1[From first equation mentioned]. Now if we differentiate this equation again, we get y(double dot) = x1(double dot) = x1(dot) = x1[ Again from first equation mentioned]. I suggest you to write down the equations in a paper in the exact order I mentioned above. This will make is easier to understand :)

  • @mohanadelsamadony4824
    @mohanadelsamadony48243 жыл бұрын

    at 12:12 why the input term is non zero? meanwhile it is zero in the first and second derivative? Thank you for your lectures

  • @Topperly

    @Topperly

    3 жыл бұрын

    Hi Mohanad, Here we have assumed that the relative degree of system is 'k'. Therefore input 'u' should explicitly appear only in the equation corresponding to kth derivative. This means that 'u' cannot appear explicitly in any other equation. That's why we know input term is zero fo all derivatives till (k-1). This becomes more clear when you see the example at 20:26. Here the relative degree of system is 2. Hence if you evaluate the equation for first derivative at 10:27 for the system in example, you will find that the input term will evaluate to zero.

  • @brunomorabito4445
    @brunomorabito44453 жыл бұрын

    great lecture! If you can I would improve the audio quality with a better microphone :) Cheers!

  • @Topperly

    @Topperly

    3 жыл бұрын

    Thank you! Haha...Sorry for the poor audio. We had switched to better quality mic in our later videos :)

  • @brunomorabito4445

    @brunomorabito4445

    3 жыл бұрын

    @@Topperly great! keep up the good work. Greetings from Germany

  • @hamdiakram7387
    @hamdiakram73874 жыл бұрын

    it will better just if u could add subtitles :)) and think you a lot for your work .

  • @Topperly

    @Topperly

    4 жыл бұрын

    Will try to add soon :)

  • @Topperly

    @Topperly

    4 жыл бұрын

    Subtitles are added :)

  • @hamdiakram7387

    @hamdiakram7387

    4 жыл бұрын

    @@Topperly think you, you're the best

  • @deepakgupta5887
    @deepakgupta58874 жыл бұрын

    What is meant that a relative degree equal to n at x0 , in last of the vedio.

  • @Topperly

    @Topperly

    4 жыл бұрын

    We define relative degree around some equilibrium point. Here by X0, I meant equilibrium point at origin.

  • @ayobamimeadows3031

    @ayobamimeadows3031

    3 жыл бұрын

    Is the equilibrium point at origin always stable for all systems for linearization?