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5. For this problem, assume that a controller K(s) and a plant G(s) are in the feedback loop given in Problem 2. K(s) = K G(s) s²+ 20s + 64 (a) Find the closed loop transfer function GcL(s) with controller gain K as a variable. (b) Find the poles of the closed loop system with K as a variable. (c) Find the value of K to place the closed loop poles at -2± j2

5. For this problem, assume that a controller K(s) and a plant G(s) are in the feedback loop given in Problem 2. K(s) = K G(s) s²+ 20s + 64 (a) Find the closed loop transfer function GcL(s) with controller gain K as a variable. (b) Find the poles of the closed loop system with K as a variable. (c) Find the value of K to place the closed loop poles at -2± j2

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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5. For this problem, assume that a controller K(s) and a plant G(s) are in the feedback loop given in Problem 2. K(s) = K G(s) = g2 + 20s + 64 (a) Find the closed loop transfer function GCL(s) with controller gain K as a variable. (b) Find the poles of the closed loop system with K as a variable. (c) Find the value of K to place the closed loop poles at -2+ j2 2. Consider the feedback loop below with plant G(s) and proportional controller K(8) = K. Use the Routh- Hurwitz criterion to determine the full range of K that produces a stable feedback system GcL(s). s+6 G(s) 83 + 4s2 + 3s R(s) K(s) G(s) Y(s)
Transcribed Image Text:5. For this problem, assume that a controller K(s) and a plant G(s) are in the feedback loop given in Problem 2. K(s) = K G(s) = g2 + 20s + 64 (a) Find the closed loop transfer function GCL(s) with controller gain K as a variable. (b) Find the poles of the closed loop system with K as a variable. (c) Find the value of K to place the closed loop poles at -2+ j2 2. Consider the feedback loop below with plant G(s) and proportional controller K(8) = K. Use the Routh- Hurwitz criterion to determine the full range of K that produces a stable feedback system GcL(s). s+6 G(s) 83 + 4s2 + 3s R(s) K(s) G(s) Y(s)
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