Consider the system in state variable form

(a) Compute the transfer function G(s) = Y(s)/U(s).

(b) Determine the poles and zeros of the system.

(c) If possible, represent the system as a first-order system where

a, b,

c, and d are scalars such that the transfer function is the same as obtained in (a).

with x(t) = Ax(t) + Bu(t) y(t)=Cx(t)+Du(t) 3 2 A B= C [10], and D = [0]. 34