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%?

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Control Systems Error Analysis topics include: Steady state error, integral square error and its minimization. Control systems error analysis is important because even small design flaws can have disastrous consequences.  Here are some details about control systems error analysis: Steady-state error: The difference between the desired value and the actual value of a system when the response has reached the steady state. It is a measure of the accuracy of a control system. Error detectors: Used to sense and measure any error, which may occur due to the difference between the actual output... Show more

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%?