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4. Suppose you are to design a unity feedback controller for a first-order plant depicted in Figure Ba, You are to design the controller so that the closed-loop poles lie within the shaded regions shown in Figure 3b, ↑ Im(s) 4 8, F2 e(1) RO K OY S+ a -4 -2 Re(s) (a) (ь) Figure 3: a) Unity feedback system and b) desired closed-loop pole locations. (а) What values of wn and § correspond to the shaded regions in Figure 3b? Let Ka = a = 2. Find values for K and K1 so that the poles of the closed-loop system lie within the shaded (b) regions. (c) anywhere in the complex (left-half) plane. Prove that no matter what the values of Ka and a are, the controller provides enough flexibility to place the poles

4. Suppose you are to design a unity feedback controller for a first-order plant depicted in Figure Ba, You are to design the controller so that the closed-loop poles lie within the shaded regions shown in Figure 3b, ↑ Im(s) 4 8, F2 e(1) RO K OY S+ a -4 -2 Re(s) (a) (ь) Figure 3: a) Unity feedback system and b) desired closed-loop pole locations. (а) What values of wn and § correspond to the shaded regions in Figure 3b? Let Ka = a = 2. Find values for K and K1 so that the poles of the closed-loop system lie within the shaded (b) regions. (c) anywhere in the complex (left-half) plane. Prove that no matter what the values of Ka and a are, the controller provides enough flexibility to place the poles

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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4. Suppose you are to design a unity feedback controller for a first-order plant depicted in Figure Ba, You are to design the controller so that the closed-loop poles lie within the shaded regions shown in Figure 3b, ↑ Im(s) 4 8, F2 e(1) RO K OY S+ a -4 -2 Re(s) (a) (ь) Figure 3: a) Unity feedback system and b) desired closed-loop pole locations. (а) What values of wn and § correspond to the shaded regions in Figure 3b? Let Ka = a = 2. Find values for K and K1 so that the poles of the closed-loop system lie within the shaded (b) regions. (c) anywhere in the complex (left-half) plane. Prove that no matter what the values of Ka and a are, the controller provides enough flexibility to place the poles
Transcribed Image Text:4. Suppose you are to design a unity feedback controller for a first-order plant depicted in Figure Ba, You are to design the controller so that the closed-loop poles lie within the shaded regions shown in Figure 3b, ↑ Im(s) 4 8, F2 e(1) RO K OY S+ a -4 -2 Re(s) (a) (ь) Figure 3: a) Unity feedback system and b) desired closed-loop pole locations. (а) What values of wn and § correspond to the shaded regions in Figure 3b? Let Ka = a = 2. Find values for K and K1 so that the poles of the closed-loop system lie within the shaded (b) regions. (c) anywhere in the complex (left-half) plane. Prove that no matter what the values of Ka and a are, the controller provides enough flexibility to place the poles
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