Control system design

Control System Design Homework problem:

Consider the following transfer function

G(s) =C(s) R(s)=s + (p + 1)/ (s + 5)(s + 2(−1)q)


(a) (10 pts) Substitute your variable p and q into equation (2) and write down the resulting transfer function G(s). Then, determine the pole(s) and zero(s) of the transfer function.

(b) (20 pts) Find the time response c(t) due to the unit-step input R(s) = 1 s.

(c) (5 pts) Is the system stable?

Sample Solution