Question

Control System

A unit step input is applied to the closed-loop control system in the figure below to1examine the effect of feedback performance, where: G(s) =1/(s + 2)(s +10)

(a) For K = 7:

(i) Find the response c(t)

(ii) Find the damping ratio, 5

(iii) Find the settling time T;

(b) For K = 20:

(i) Find the response c(t)

(i) Find the damping ratio, 5

(iii) Find the settling time T,

(c) What can you deduce from the results in (a) and (b) on the basis of the settling time,T and the nature of the response c(t)?


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