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Response of a system (Control theory)

  1. Aug 27, 2015 #1
    Hi everyone. I'm studying for the exam of control theory, and now I'm having an hard time with the response of a system, in particular when we have oscillations.
    Suppose you have a system, with a transfer function, say, G(S), in the form:

    G(S) = 1
    (s ^2 + 2a*w (s) + w^2)

    Then, if we have oscillations, we can calculate the maximum elongation (in percentage), over final value, with the formula

    S = (final value)* 100 * e ^ ((-pi * a)/sqrt(1 - a^2)),
    in which a is the damped coefficient.
    The problem is, if the final value is 0, what should I do there??? Thank you for your help
  2. jcsd
  3. Aug 28, 2015 #2
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