A regulator system plant has a transfer function as follows : Y ( S ) 5 + 4 U ( s ) ( s + ( 21 ) Obtain the state space representations in...

Please answer the following q: Solve part a and part b

U . 1 . A regulator system plant has a transfer function as follows :Y ( S )5 + 4U ( s ) ( s +( 21 ) Obtain the state space representations in controllable , observable , and Jordan canonical forms forthis control system In other words . develop state equations in the form X = AX + BU andV = CX + DU( 2 + 2 + 2 = 6 Marks )( b ) Using the Jordan matrix / A in 1 ( a ) find out the state transition equations , and find out systemoutput for step input .( 4 marks )