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

(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 H_k = 1. From the z-transform tables,

A state model for this system is given by

Transcribed Image Text:

y(k) [01]x(k)