Consider the satellite control system of Problem 9.2-4. Problem 9.2-4 A satellite control system is modeled as
Question:
Consider the satellite control system of Problem 9.2-4.
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,
(a) Design a predictor observer for this system, with the time constant equal to one-half the value of Problem 9.2-4(b) and with the observer critically damped.
(b) To check the results of part (a), use (9-46) to show that these results yield the desired observer characteristic equation.
(c) Find the control-observer transfer function Dce(z) in Fig. 9-8. Use the control gain matrix of Problem 9.2-4(b), K=[0.38931.769].
(d) The characteristic equation of the closed-loop system of Fig. 9-8 is given by
1+Dce(z)G(z)=0
Use G(z) as given and Dce(z) in part (c) to show that this equation yields the same characteristic equation as αc(z)αe(z)=0
Step by Step Answer:
Digital Control System Analysis And Design
ISBN: 9780132938310
4th Edition
Authors: Charles Phillips, H. Nagle, Aranya Chakrabortty