For the satellite control system of Problem 7.5-6 and Fig. P7.5-6:

(a) Plot the z-plane root locus.

(b) Plot the w-plane root locus.

(c) Determine the range of K for stability using the results of part (a).

(d) Determine the range of K for stability using the results of part (b).

Problem 7.5-6

Transcribed Image Text:

Consider the satellite control system of Fig. P7.5-6. This system is described in Problem 1.4-1. For this problem, T = 0.1 s, J = 0.1, H= 0.02, and D(z): 1. From the z-transform table, -Ts - E 10 s S = = 0.05(z + 1) (z 1) - (a) Write the closed-loop system characteristic equation. (b) Use the Routh-Hurwitz criterion to show that the system is unstable for all K. (c) Check the results of part (b) using the Jury test.