A system plant has a transfer function as follows: Y(s)/U(s) = (s+4)/(s+2)^3
(a) Obtain the state space representations in controllable, observable, and Jordan canonical forms for
this control system. In other words, develop state equations in the form X* = AX +BU
and
Y = CX + DU
(b) Using the Jordan matrix for the above system, find out the state transition equations, and find out
system output for step input.