Repeat Problem 9.7-1 for the temperature control system of Problem 9.2-3, where the state equations are given by

Problem 9.7-1

In Problem 9.2-4, a pole-placement design for a satellite control system results in the gain matrix K = [0.194 0.88]. It is desired to have an input signal r(t) applied to the system, so as to realize the system of Fig. 9-12. Write the resulting state equations in the form

Problem 9.2-3

A chamber temperature control system is modeled as shown in Fig. P9.2-3. This system is described in Problem 1.6-1. For this problem, ignore the disturbance input, T = 0.6 s, and let D(z) = 1. It was shown in Problem 6.2-4 that

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x(k+ 1) = 0.2402x(k)+1.2343u(k) y(k)= 0.07.x(k) and where the control gain is K = 0.3652.