Table 4.1 shows the experimentally measured frequency response of an open-loop process plant G(s). It is decided that a PI controller of the form K(s) = K (1+77) is to be used as the controller for this plant with K-1 and T=0.5. Table 4.1 Freq (rad/s) Gain (dB) -40.2 0.01 0.02 0.04 0.08 0.1 0.2 0.4 0.8 1 -40.8 -42.9 -49 -52.3 -65.8 -82.4 -100 -105 Phase (Deg) -21.4 -42.1 -79.7 -135 -154 -204 -236 -252 -256 a) Plot the Bode Diagram of the open-loop transfer function on the graph given in the next page. b) What are the Gain Margin and Phase Margin of the system? c) Determine the stability of the closed-loop system when K=4.
Table 4.1 shows the experimentally measured frequency response of an open-loop process plant G(s). It is decided that a PI controller of the form K(s) = K (1+77) is to be used as the controller for this plant with K-1 and T=0.5. Table 4.1 Freq (rad/s) Gain (dB) -40.2 0.01 0.02 0.04 0.08 0.1 0.2 0.4 0.8 1 -40.8 -42.9 -49 -52.3 -65.8 -82.4 -100 -105 Phase (Deg) -21.4 -42.1 -79.7 -135 -154 -204 -236 -252 -256 a) Plot the Bode Diagram of the open-loop transfer function on the graph given in the next page. b) What are the Gain Margin and Phase Margin of the system? c) Determine the stability of the closed-loop system when K=4.
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...
Related questions
Question
Transcribed Image Text:Table 4.1 shows the experimentally measured frequency response of an open-loop process
plant G(s). It is decided that a PI controller of the form
K(s) = K (1+;
+73)
Ts
is to be used as the controller for this plant with K=1 and T=0.5.
Freq (rad/s)
Gain (dB)
Phase (Deg)
Table 4.1
0.04
0.08
0.1
0.2
0.4
0.01 0.02
-40.2 -40.8 -42.9
-49 -52.3 -65.8 -82.4
-21.4 -42.1 -79.7 -135 -154 -204 -236
0.8
-100
-252
1
-105
-256
a) Plot the Bode Diagram of the open-loop transfer function on the graph given in the next
page.
b) What are the Gain Margin and Phase Margin of the system?
c) Determine the stability of the closed-loop system when K= 4.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 4 steps with 7 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, electrical-engineering and related others by exploring similar questions and additional content below.Recommended textbooks for you
Introductory Circuit Analysis (13th Edition)
Electrical Engineering
ISBN:
9780133923605
Author:
Robert L. Boylestad
Publisher:
PEARSON
Delmar's Standard Textbook Of Electricity
Electrical Engineering
ISBN:
9781337900348
Author:
Stephen L. Herman
Publisher:
Cengage Learning
Programmable Logic Controllers
Electrical Engineering
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education
Introductory Circuit Analysis (13th Edition)
Electrical Engineering
ISBN:
9780133923605
Author:
Robert L. Boylestad
Publisher:
PEARSON
Delmar's Standard Textbook Of Electricity
Electrical Engineering
ISBN:
9781337900348
Author:
Stephen L. Herman
Publisher:
Cengage Learning
Programmable Logic Controllers
Electrical Engineering
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education
Fundamentals of Electric Circuits
Electrical Engineering
ISBN:
9780078028229
Author:
Charles K Alexander, Matthew Sadiku
Publisher:
McGraw-Hill Education
Electric Circuits. (11th Edition)
Electrical Engineering
ISBN:
9780134746968
Author:
James W. Nilsson, Susan Riedel
Publisher:
PEARSON
Engineering Electromagnetics
Electrical Engineering
ISBN:
9780078028151
Author:
Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher:
Mcgraw-hill Education,