(a) A unity feedback system has $G(s) = \frac{40(s+2)}{s(s+1)(s+4)}$.…

Previous year question for Control System.

Question

(a) A unity feedback system has $G(s) = \frac{40(s+2)}{s(s+1)(s+4)}$. Determine :

(i) Type of the system,

(ii) All Error Coefficients

(iii) Error for ramp input with magnitude 4.

(b) For a system having Transfer Function = $\frac{64}{s^2 + 5s + 64}$ for unit step input, determine :

(i) Damping ratio, natural frequency and damped frequency

(ii) Peak time.