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Posers and Puzzles

Posers and Puzzles

  1. 25 May '11 02:16
    So there's a feedback connection between G(s) = 1/(1 + s)^2 and a nonlinear function/map psi(t, y) = a*y*sin(w*t). How can I use the small gain theorem to find conditions on "a" so that this connection is finite gain L-infinity stable?

    I'm pretty sure I need to use the peak-to-peak gain of G(s), but I'm not sure how to find its impulse response, or what to do about getting the infinity norm of psi.
  2. Standard member Palynka
    Upward Spiral
    25 May '11 12:35
    I'm not sure I understand the feedback. s is the input and y is the output? If so, do is it like:

    s -> G(s) -> y
    ....| ........ |
    .....psi(y,t)
  3. 25 May '11 12:59
    Exactly.