1.

The open loop transfer function for a unit feedback system is G(s) = K/s(sT+1). By what factor the amplitude gain K should be reduced so that the peak overshoot becomes 25% from 75%?(a) 75(b) 25(c) 20(d) 10I got this question in an internship interview.Query is from Integral Square Error & its Minimization in section Error Analysis of Control Systems

Answer»

Correct choice is (c) 20

The explanation is: The peak overshoot is decreased by INCREASING the damping RATIO. The damping ratio is INCREASED by reducing the gain K by same proportion and for DECREASING the peak overshoot from 75% to 25% the factor of AMPLITUDE becomes 19.6% which is approximately 20%.



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