)) The Nyquist Plot of a system G(s) = in a unity feedback loop (Figure 3) is shown in Figure (s+1)² 4 for K = 1: a). Is the closed-loop system stable for K = 1? Justify your conclusion with Nyquist Stability Criterion ? b). Discuss the impact of the value of K, increasing or decreasing, on the closed-loop system stability and find the critical value of K in Nyquist Plot. Applying Routh-Hurwitz Criterion to validate your conclusions. R(s) + Y(s) G(s) Figure 3: Nyquist Diagram 15- 05 Real Asis

Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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Question
)) The Nyquist Plot of a system G(s) = in a unity feedback loop (Figure 3) is shown in Figure
(s+1)²
4 for K = 1:
a). Is the closed-loop system stable for K = 1? Justify your conclusion with Nyquist Stability
Criterion ?
b). Discuss the impact of the value of K, increasing or decreasing, on the closed-loop system
stability and find the critical value of K in Nyquist Plot. Applying Routh-Hurwitz Criterion
to validate your conclusions.
R(s) +
Y(s)
G(s)
Figure 3:
Nyquist Diagram
15-
05
Real Asis
Transcribed Image Text:)) The Nyquist Plot of a system G(s) = in a unity feedback loop (Figure 3) is shown in Figure (s+1)² 4 for K = 1: a). Is the closed-loop system stable for K = 1? Justify your conclusion with Nyquist Stability Criterion ? b). Discuss the impact of the value of K, increasing or decreasing, on the closed-loop system stability and find the critical value of K in Nyquist Plot. Applying Routh-Hurwitz Criterion to validate your conclusions. R(s) + Y(s) G(s) Figure 3: Nyquist Diagram 15- 05 Real Asis
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