A plant with transfer function P(s) = \frac{1}{s+1} is connected in unity feedback with controller C(s) that is BIBO stable and strictly proper (has strictly more poles than zeros). Which of the following statements is correct:

Question

A plant with transfer function   P(s) = \frac{1}{s+1}  is connected in unity feedback with controller   C(s)  that is BIBO stable and strictly proper (has strictly more poles than zeros). Which of the following statements is correct:

Accepted Answer

Bode's integral formula applies to   S(j\omega) = \frac{1}{1+P(j\omega)C(j\omega)}  as long as   \frac{1}{1+P(s)C(s)}  is stable.

Answer

Bode's integral formula applies to   S(j\omega) = \frac{1}{1+P(j\omega)C(j\omega)}  without any additional assumptions.

Answer

Bode's intgeral formula does not apply in this case.

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A plant with transfer function P(s) = \frac{1}{s+1} is connected in unity fee...

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