Consider the following feedback control system. The plant transfer function is: 1 as+b P(s) = Consider a controller C(s) The desired closed-loop poles are at p1 = s2+3s+1 cs+d -30, P2.3 = -3±j4. (a)...

Need help with practice problem, thank you.

Extracted text: Consider the following feedback control system. The plant transfer function is: 1 as+b P(s) = Consider a controller C(s) The desired closed-loop poles are at p1 = s2+3s+1 cs+d -30, P2.3 = -3±j4. (a) What is the expression of the actual closed-loop characteristic equation obtained based on P(s) and C(s)? (b) What is the expression of the desired closed-loop characteristic equation obtained based on the desired closed-loop pole locations pį and p2,3? (c) What are the values of a, b, c, and d such that the closed-loop poles are at the desired locations? R(s) C(s) P(s) Y(s) Controller Plant