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# Suppose you are to design a unity feedback controller for a first-order plant depicted ISBN: 9780136019695 407

## Solution for problem 3.28 Chapter 3

Feedback Control of Dynamic Systems | 6th Edition

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Problem 3.28

Suppose you are to design a unity feedback controller for a first-order plant depicted in Fig. 3.59. (As you will learn in Chapter 4, the configuration shown is referred to as a proportional-integral controller.) You are to design the controller so that the closed-loop poles lie within the shaded regions shown in Fig. 3.60. (a) What values of n and correspond to the shaded regions in Fig. 3.59? (A simple estimate from the figure is sufficient.) (b) Let K = = 2. Find values for K and KI so that the poles of the closed-loop system lie within the shaded regions. Figure 3.59 Unity feedback system for 3.28 Figure 3.60 Desired closed-loop pole locations for 3.28 (c) Prove that no matter what the values of K and are, the controller provides enough flexibility to place the poles anywhere in the complex (left-half) plane.

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##### ISBN: 9780136019695

Feedback Control of Dynamic Systems was written by and is associated to the ISBN: 9780136019695. The answer to “Suppose you are to design a unity feedback controller for a first-order plant depicted in Fig. 3.59. (As you will learn in Chapter 4, the configuration shown is referred to as a proportional-integral controller.) You are to design the controller so that the closed-loop poles lie within the shaded regions shown in Fig. 3.60. (a) What values of n and correspond to the shaded regions in Fig. 3.59? (A simple estimate from the figure is sufficient.) (b) Let K = = 2. Find values for K and KI so that the poles of the closed-loop system lie within the shaded regions. Figure 3.59 Unity feedback system for 3.28 Figure 3.60 Desired closed-loop pole locations for 3.28 (c) Prove that no matter what the values of K and are, the controller provides enough flexibility to place the poles anywhere in the complex (left-half) plane.” is broken down into a number of easy to follow steps, and 143 words. This full solution covers the following key subjects: . This expansive textbook survival guide covers 10 chapters, and 449 solutions. Since the solution to 3.28 from 3 chapter was answered, more than 249 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 3.28 from chapter: 3 was answered by , our top Engineering and Tech solution expert on 03/14/18, 05:01PM. This textbook survival guide was created for the textbook: Feedback Control of Dynamic Systems, edition: 6.

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