1.

The steady state error for a unity feedback system for the input r(t) to the system G(s) =K(s+2)/s(s^3+7s^2+12s) is 6R/K. The input r (t) is _______(a) Rt2/2(b) Rt3/2(c) Rt5/2(d) Rt7/2The question was asked in an international level competition.The origin of the question is Steady State Error in division Error Analysis of Control Systems

Answer»

Correct choice is (a) Rt2/2

The best explanation: Ka = 2K/12 = K/6. Ess = 6R/K. So, as we TAKE Rt^2/2 we GET 6R/K as the error. The other options can’t be true because the INPUT is EXCEEDING the desired input. It is inversely proportional to the GAIN.



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