Stability of Systems | Nonlinear Control Systems

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  • เผยแพร่เมื่อ 10 ก.ย. 2024
  • Topics covered:
    00:19 Stability of Linear Systems
    01:16 Stability of Non-Linear Systems
    01:49 Van Der Pol equation
    04:06 Equilibrium points and stability
    07:25 Lyapunov’s Stability
    17:24 Asymptotic Stability
    18:58 Quasi-Asymptotic Stablility

ความคิดเห็น • 28

  • @Life64644
    @Life64644 3 ปีที่แล้ว +1

    Urgent help please
    How can I tune my nonlinear controller constants? The error coefficients!!!
    Please help!
    Thanks

    • @Topperly
      @Topperly  3 ปีที่แล้ว +2

      Um... I don't even know what system you are referencing to. I suggest you to check out research papers to get a better understanding :)

    • @Life64644
      @Life64644 3 ปีที่แล้ว

      @@Topperly suppose the following system:
      dotx1=x2
      dotx2=a x2 + b x3
      dotx3=u - c x3 + i w cosx1 - i w sin x2
      I have designed the u using backstopping as
      u= - dot i w cosx1 + (A+ k1 i w sinx1)e1 + (B + k2 i w sinx2)e2 + (D+ k3) e3
      All the constants are know except for the k1, k2 and k3.
      e1 = x1 - 0.3
      e2=x2
      e3=x3.
      Thank you for your time and support 🙏

    • @Topperly
      @Topperly  3 ปีที่แล้ว +3

      Hmm... I don't think I am qualified to answer your question. There are still some topics in Nonlinear controllers which I am yet to go through again. Meanwhile if there is someone who can help you in answering this question, kindly avail the same. I have also pinned your comment so that someone else who see this can help you here. :)
      How I usually approach nonlinear systems is to linearize the system and then use LQR approach to tune it.

  • @OCatherine
    @OCatherine 3 ปีที่แล้ว +2

    You're a life saver! I've been having trouble understanding the textbooks. Thank you! Now it remains actual examples...let me keep watching

    • @Topperly
      @Topperly  2 ปีที่แล้ว +1

      Great to hear! :)

  • @YahyaSaddam-hh3sn
    @YahyaSaddam-hh3sn 6 หลายเดือนก่อน

    Very good.... Sir aapko bilkul andaaza nahhi hay k aappnay meri kitni bari tension ko reduce kar dia hay.... Kal tak mujhe non linear k baraay m kuch b ilm nahi tha... Aj Alhamdolillah mujhe bht sy concepts k baaray main maloom hay... Thank you thank you thank you sooooooooooo much❤❤❤❤❤❤❤❤❤❤

  • @rabidripper
    @rabidripper 4 ปีที่แล้ว +3

    non linear control is very difficult compared to other areas ..but your lectures make it simple...great ...please do more..on adaptive control also ..

    • @Topperly
      @Topperly  4 ปีที่แล้ว +1

      Your appreciation means a lot to us. Thank you:)
      PS : Adaptive Control is part of our future expansion plans.

  • @hetjoshi2892
    @hetjoshi2892 4 ปีที่แล้ว +5

    grate teacher,
    Nice teaching skill, I understood Lyapunov's stability in the first attempt only.
    and one more question in which software u make this video?
    Thank you.

    • @Topperly
      @Topperly  4 ปีที่แล้ว +1

      Thank you for your appreciation!
      I use Camtasia and Autodesk Sketchbook

  • @GabrielSouza-gu9kg
    @GabrielSouza-gu9kg 3 ปีที่แล้ว +1

    There is a little mistake at 09:14. An autonomous system has time-constant dynamics. What you meant is a homogenous system (0 exogenous inputs).

    • @Topperly
      @Topperly  2 ปีที่แล้ว

      Sorry, I accidently missed the mistake during editing. Glad you pointed it out :)

  • @sarthakmishra1415
    @sarthakmishra1415 2 ปีที่แล้ว

    MASTERPIECE!!

    • @Topperly
      @Topperly  2 ปีที่แล้ว

      Thank you :)

  • @alisyal9570
    @alisyal9570 3 ปีที่แล้ว

    Thanks

  • @ninamira5755
    @ninamira5755 4 ปีที่แล้ว

    U'r doing a great job , go onn

    • @Topperly
      @Topperly  4 ปีที่แล้ว +1

      Thank you for your kind words! We really appreciate it :)

  • @hbasu8779
    @hbasu8779 4 ปีที่แล้ว +1

    Thank a lot for the wonderful video. I was wondering if in future you can restate the Lyapunov theorem in terms of comparison functions (class K, class KL functions) that would be very helpful.

    • @Topperly
      @Topperly  4 ปีที่แล้ว +1

      Glad that you found the video useful. Yes, we'll try to do that :)

    • @anupam8582
      @anupam8582 3 ปีที่แล้ว

      Good teaching skill m happy to watch thank u

    • @vikashkumarjaiswal4389
      @vikashkumarjaiswal4389 3 ปีที่แล้ว

      @@anupam8582 ka ho mishra ji
      Yeha bhi aap hai

    • @vikashkumarjaiswal4389
      @vikashkumarjaiswal4389 3 ปีที่แล้ว

      @@anupam8582 khub padhai ho rhi

  • @RakVish
    @RakVish 3 ปีที่แล้ว

    Such clear explanation! Thank you.

    • @Topperly
      @Topperly  3 ปีที่แล้ว

      Glad that the video was helpful to you :)

  • @lks5343
    @lks5343 4 ปีที่แล้ว +1

    Sir , in simple word what is stability of neural network??

    • @Topperly
      @Topperly  4 ปีที่แล้ว +1

      Nueral Network?

    • @lks5343
      @lks5343 4 ปีที่แล้ว

      @@Topperlythis topic is also in neural networks