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Linearisation Technique & First Method of Lyapunov | Nonlinear Control Systems

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  • เผยแพร่เมื่อ 27 ม.ค. 2020
  • Topics covered:
    00:21 Local Linearisation of nonlinear functions
    13:45 First Method of Lyapunov

ความคิดเห็น • 23

  • @soumikdey5391
    @soumikdey5391 3 ปีที่แล้ว

    great initiative......quality lectures in short time and it is easy for students to understand due to ample numericals.

    • @soumikdey5391
      @soumikdey5391 3 ปีที่แล้ว

      please try to put more videos....it will surely connect many students.

    • @Topperly
      @Topperly  3 ปีที่แล้ว

      Thank you for your mind words :)

    • @akashsingh2722
      @akashsingh2722 11 หลายเดือนก่อน

      @@Topperly kind*

    • @Topperly
      @Topperly  11 หลายเดือนก่อน

      Haha....sorry for the typo

  • @nitinbabu2672
    @nitinbabu2672 ปีที่แล้ว

    Wow great video. I'm a 3rd year aerospace engineering student (I'm final year of bachelors), I'm doing an individual project on non-linear control, specifically sliding mode control. Do you have any resources that explain the concept in the same manner as your videos that very easy to follow and understand? This is usually a masters course so I have not studied this, and the videos available online delve deep into the maths too quickly that I can't follow, like I see symbols Ive never seen before. Please reply. Thanks

    • @Topperly
      @Topperly  ปีที่แล้ว

      1. Applied Nonlinear Control by Slotine and Li - amzn.to/2Ed8Rw6
      2. Nonlinear Control Systems by Alberto Isidori - amzn.to/3l5VeQv
      3. Nonlinear Systems by Hassan K Khalil - amzn.to/3aG0zsA
      These are some great sources I use for my studies. Please see if they help :)

  • @Mohanbhaikipadhai
    @Mohanbhaikipadhai 2 ปีที่แล้ว

    I love it 🥰

    • @Topperly
      @Topperly  2 ปีที่แล้ว

      Glad to hear that :)

  • @Callejondelgaming
    @Callejondelgaming 4 ปีที่แล้ว +1

    Hello, thank you for the explanation also can you add subtitles please?

    • @Topperly
      @Topperly  4 ปีที่แล้ว +2

      We'll try to add subtitles :)

    • @Topperly
      @Topperly  4 ปีที่แล้ว +9

      Subtitles are done :)

  • @animeshsinghal3405
    @animeshsinghal3405 3 ปีที่แล้ว

    While moving from equation at 5:35 to 8:15, where did the two more terms Xe(t)_dot and f(Xe, Uo) go?
    They just vanished. h( ) disappearing makes sense as it's limit tends to zero.

    • @Topperly
      @Topperly  3 ปีที่แล้ว +1

      Please compare LHS and RHS.
      LHS : Xe(t)_dot + dx(t)_dot
      We also know x(t)_dot = f(x(t),u).
      So using this knowledge, Xe(t)_dot = f(Xe(t), Uo).
      So the rest of the terms in RHS will be dx(t)_dot.
      Hope this clarifies :)

    • @animeshsinghal3405
      @animeshsinghal3405 3 ปีที่แล้ว

      @@Topperly Thank you so much! It took me a while to figure out why are those two terms equal to each other but now it is clear (it was the first equation of that section). Then they cancel each other.
      Really appreciate all the example that you provide between the theory. Also grateful for the promt response. Thank god I choose your videos to learn this.

  • @mscourseiit-k7538
    @mscourseiit-k7538 3 ปีที่แล้ว +1

    TO DEFINE EQB POINTS WE PUT STATE EQN =0

    • @Topperly
      @Topperly  3 ปีที่แล้ว

      Yes, you are right. :)

  • @abhishektambewagh6156
    @abhishektambewagh6156 3 ปีที่แล้ว

    How did you determine X1 = nπ

    • @Topperly
      @Topperly  3 ปีที่แล้ว

      We obtain our equilibrium points by equating the state equations to zero. Equating the first equation to zero gives us x2 = 0. Now plugging this x2 = 0 into second equation gives us sin(x1)=0 and this is satisfied when x1=nπ. So our equilibrium points are (nπ,0).

    • @abhishektambewagh6156
      @abhishektambewagh6156 3 ปีที่แล้ว

      @@Topperly thank you

  • @HarishKumar-wu8cv
    @HarishKumar-wu8cv 3 ปีที่แล้ว

    Mam Plse provide PDF notes of lecture

    • @Topperly
      @Topperly  3 ปีที่แล้ว

      Sorry! We don't have notes.