Consider a unity feedback system with a forward transfer function, G(s) = = K s(s+ 2)(s + 10) (a) Design a lead compensator with the requirement of percent overshoot 15% while the settling time T, = 1s. Assume compensator zero, Ze at -2. 11 (b) Find the gain, K at which this system performs at the desired percent overshoot and settling K(s+Zc) time, T5, then write the transfer function of the compensator G (c) = (s+Pc)

Q) In the negative feedback the low frequency and the high frequency * :with the feedback are (a) flf= fl /(1+AB) and fhf= fh /(1+Aß), where flf = low frequency with feedback (b) fhf= fh /(1+AB) and flf= fl (1+AB), where fhf = high frequency with feedback (c) flf= fl (1+AB) and fhf= fh (1+AB) (d) fhf= fh (1+AB) and flf= fl /(1+AB) O