2. A system has a plant transfer function G(s) and is controlled via a proportional feedback controller with gain k. G(s) = = 2 (s+ 5)(s² +0.16s + 0.64)* 1 (a) The Nyquist plot for this system is shown here. Estimate the gain/phase margins. Real Axis -0.2 -0.4 Imaginary Axis 3 2 0 -2 -3 Nyquist Diagram 8 + -4 -2 -1.5 -1 -0.5 0.4 0.2 0 0 Real Axis 0.5 1 1.5 2 Figure 2: Nyquist plot of G(s) in Problem 2. -0.971 -0.218j -1.4 -1.2 -1 -0.8 -0.6 -0.4 -0.2 0 Imaginary Axis Figure 3: Nyquist plot of G(s) showing the unit circle and real axis crossings in Problem 2. (b) What range of values of k is required for closed loop stability? Explain this from the definition of Gain Margin.

2. A system has a plant transfer function G(s) and is controlled via a proportional feedback controller with gain k. G(s) = = 2 (s+ 5)(s² +0.16s + 0.64)* 1 (a) The Nyquist plot for this system is shown here. Estimate the gain/phase margins. Real Axis -0.2 -0.4 Imaginary Axis 3 2 0 -2 -3 Nyquist Diagram 8 + -4 -2 -1.5 -1 -0.5 0.4 0.2 0 0 Real Axis 0.5 1 1.5 2 Figure 2: Nyquist plot of G(s) in Problem 2. -0.971 -0.218j -1.4 -1.2 -1 -0.8 -0.6 -0.4 -0.2 0 Imaginary Axis Figure 3: Nyquist plot of G(s) showing the unit circle and real axis crossings in Problem 2. (b) What range of values of k is required for closed loop stability? Explain this from the definition of Gain Margin.

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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