Consider the pole-placement design of Problem 9.2-2. Problem 9.2-2 Consider the plant of Problem 9.2-1, which has
Question:
Consider the pole-placement design of Problem 9.2-2.
Problem 9.2-2
Consider the plant of Problem 9.2-1, which has the transfer function, from Example 9.5,
Problem 9.2-1
The plant of Example 9.1 has the state equations given (9-1). Find the gain matrix K required to realize the
closed-loop characteristic equation with zeros which have a damping ratio 1 of 0.46 and a time constant v
of 0.5 s. Use pole-assignment design.
(a) Design a predictor observer for this system, with the time constant equal to one-half the value of Problem 9.2-2(a) 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 control gain matrix of Problem 9.2-2(a).
(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