Q5. Consider the Nyquist plot of the frequency response of the open-loop system 10000 G.(s) = (s + 1)(s+10)(s + 50) which is shown in Figure Q5 below. Imaginary Axis 0.5 Real Axis -08 0.5 -0.5 Figure Q5

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
icon
Related questions
Question
Q5. Consider the Nyquist plot of the frequency response of the open-loop system
10000
G.(s)
(s+ 1)(s+10)(s + 50)
which is shown in Figure Q5 below.
Imaginary Axis
0.5
Real Axis
-08
-0.5
-0.5
Figure Q5
2
Tutorial 2: Frequency Response Analysis
(a) Write down the expression of the frequency response for this system, clearly
showing the overall gain.
(b) Is the corresponding closed-loop system with unity feedback gain stable or not?
Explain why.
(c) Determine the approximate value of the gain margin from Figure Q5. What is
the maximum value of an additional gain K for which the closed loop would still
be stable?
(d) Determine the approximate value of the phase margin from Figure Q5. Assuming
that the corresponding point on the plot occurs at 12rad/s, what is the maximum
delay which can be added to the system before the closed loop would become
unstable?
Transcribed Image Text:Q5. Consider the Nyquist plot of the frequency response of the open-loop system 10000 G.(s) (s+ 1)(s+10)(s + 50) which is shown in Figure Q5 below. Imaginary Axis 0.5 Real Axis -08 -0.5 -0.5 Figure Q5 2 Tutorial 2: Frequency Response Analysis (a) Write down the expression of the frequency response for this system, clearly showing the overall gain. (b) Is the corresponding closed-loop system with unity feedback gain stable or not? Explain why. (c) Determine the approximate value of the gain margin from Figure Q5. What is the maximum value of an additional gain K for which the closed loop would still be stable? (d) Determine the approximate value of the phase margin from Figure Q5. Assuming that the corresponding point on the plot occurs at 12rad/s, what is the maximum delay which can be added to the system before the closed loop would become unstable?
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Speed of light
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley
College Physics: A Strategic Approach (4th Editio…
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON