Home /
Expert Answers /
Advanced Math /
question-3-i-the-closed-loop-transfer-function-for-a-second-order-system-is-given-as-t-s-36-s-pa142

Question 3. (i) The closed loop transfer function for a second order system is given as

`T(s)=(36)/(s^(2)+4.2s+36)`

, find the damping ratio, natural frequency, peak time, rise time and percentage overshoot of its time response. (ii) In state space, a system is represented by

`x^(˙)=([0,1,0],[0,0,1],[-3,-2,-5])x+([0],[0],[10])U(t)`

;

`y=([1,0,0])x;,`

. Obtain its transfer function and deduce the system's initial and steady states.