Find a discrete state variable model of the closed-loop system shown in Fig. P5.4-4 if the discrete

state model of the plant is given by:

Fig. P5.4-4

(a) x(k+1)= 0.7x(k)+0.3m (k) y (k) = 0.2x(k) + 0.5m(k) (b) x (x + 1) = 1 (-09 25 X (4) + | 001 m(4) 1.3 0.05 y (k)= [1.2 - 0.7]x (k) 0.5 0 0 (c) x(k+1)= 0 0.9 -1 0 y (k)= [100] (k) 1 1(k) + o m(k) 0.9 2