P5.4 The loop transfer function of a unity negative feed

back system

A system response to a step input is specified as follows:

Tp = 0.25 s,

P O. . = 10%.

(a) Determine whether both specifications can be met simultaneously.

(b) If the specifications cannot be met simultaneously, determine a compromise value for K 

so that the peak time and percent overshoot specifica

tions are relaxed by the same percentage.

L(s) = G(s)G(s) = K s(s+4)