For the system of Fig. P5.3-1

(a), let T = 0.1 s and

(a) Calculate G(z) and H(z) .

(b) Draw simulation diagrams for G(z) and H(z) , and interconnect these diagrams to form the control system of Fig. P5.3-1(a).

(c) Write the discrete state equations for part (b).

(d) Find the system characteristic equation, using the transfer functions of part (a).

(e) Show that the state model in part (c) has the same characteristic equation as in part (d).

Fig. P5.3-1

Transcribed Image Text:

-Ts G(s) = 3, H(s) = 2 S E 1-8-Ts 2 5 + 5