8.2-4. Consider the system of Problem 8.2-2. The plant frequency response (Gleft(j omega_{w}ight)) is given in Table

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8.2-4. Consider the system of Problem 8.2-2. The plant frequency response \(G\left(j \omega_{w}ight)\) is given in Table P8.2-2.
(a) Let the digital controller realize a gain \(K\), that is, \(D(z)=K\). Find \(K\) such that the system phase margin is \(45^{\circ}\).
(b) Obtain the system step response of part (a) using MATLAB, and find the rise time \(t_{r}\) and the percent overshoot.

Problem 8.2-2Consider the system of Fig. P8.2-2 with T = 0.2. (a) Show that the pulse transfer function of the plant is

Table P8.2-2
TABLE P8.2-2 Frequency Response for PROBLEM 8.2-2 ZG(jo) -96.28 -102.45 -108.41 -114.08 -119.40 -124.36@w 0.9 1.0 2.0 3.0 4.0 5.0 6.0 7.0 8.0 9.0 10.0 20.0 30.0 40.0 @ 0.897 0.996 1.974 2.914 3.805 4.636 5.404

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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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