Consider the satellite control system of Problem 9.2-4. Suppose that the output is the measurement of angular

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Consider the satellite control system of Problem 9.2-4. Suppose that the output is the measurement of angular velocity, such that

y(k) [01]x(k)

(a) Is this system observable?

(b) Explain your answer in part (a) in terms of the physical aspects of the system. We are attempting to estimate position, given velocity.

Problem 9.2-4

A satellite control system is modeled as shown in Fig. P9.2-4. This system is described in Problem 1.4-1. For this problem, let D(z) = 1. In addition, K = 1, T = 1 s, J = 4, and Hk = 1. From the z-transform tables,Z - 1 N 45 0.125(z + 1) (z - 1)

A state model for this system is given byx(k+ 1) : - 0 = x(k) + y(k) [10]x(k) = [0.125 25 Ju(k) 0.25where x(k) is angular position and x(k) is angular velocity. (a) Show that the closed-loop system is

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Digital Control System Analysis And Design

ISBN: 9780132938310

4th Edition

Authors: Charles Phillips, H. Nagle, Aranya Chakrabortty

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