4. Represent the system in state space with vector-matrix format and draw the signal- flow graphs. G(s)= 11s²+3s+8 s3+4s2+7s+12 (a) Phase-variable form; (b) Controller canonical form; (c) Observer canonical form. (15 points) 5. The block diagram of a control system is shown below, R(s) 5 G₁₂ H₁ H₂ (25 points) Y(s) G G₁ H (a) Reduce the block diagram to a single block diagram representing the closed-loop transfer function; (b) Convert the block diagram to Signal-Flow Graph; (c) Find the closed-loop transfer function Y(s)/R(s) using Mason's Rule.