A dynamic system in a negative unity feedback configuration has the root locus, shown in Fig. 1. For what value of K does the closed-loop system have a minimum settling time? For this value of K a. What is the natural frequency of the dominant poles of the system? b. List all the poles of the closed-loop system

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...
icon
Related questions
Question
A dynamic system in a negative unity feedback configuration has the root locus, shown in Fig. 1.
For what value of K does the closed-loop system have a minimum settling time?
For this value of K
0.78
0.89
2 0.97
K=8
0.97
0.89
a. What is the natural frequency of the dominant poles of the system?
b.
List all the poles of the closed-loop system
K=6 k=3
0.78
K=1
00
K=4 X=2
0.66
K=I
0.66
43
0.52
K=4
(K=3
K=4
K=2
0.52
0.38
K=1
K=6
K=6
0.38
Figure 1
0.26
0.26
0.12
K=8
K=3
K=4
0.12
K=3
K=6
K=2
K=8T
Im s
K=1
K=4
Res
K=1
K=6
K=8₁
1
Transcribed Image Text:A dynamic system in a negative unity feedback configuration has the root locus, shown in Fig. 1. For what value of K does the closed-loop system have a minimum settling time? For this value of K 0.78 0.89 2 0.97 K=8 0.97 0.89 a. What is the natural frequency of the dominant poles of the system? b. List all the poles of the closed-loop system K=6 k=3 0.78 K=1 00 K=4 X=2 0.66 K=I 0.66 43 0.52 K=4 (K=3 K=4 K=2 0.52 0.38 K=1 K=6 K=6 0.38 Figure 1 0.26 0.26 0.12 K=8 K=3 K=4 0.12 K=3 K=6 K=2 K=8T Im s K=1 K=4 Res K=1 K=6 K=8₁ 1
Expert Solution
steps

Step by step

Solved in 4 steps with 3 images

Blurred answer
Knowledge Booster
Stability Analysis in Power System
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.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
Electrical Engineering
ISBN:
9780133923605
Author:
Robert L. Boylestad
Publisher:
PEARSON
Delmar's Standard Textbook Of Electricity
Delmar's Standard Textbook Of Electricity
Electrical Engineering
ISBN:
9781337900348
Author:
Stephen L. Herman
Publisher:
Cengage Learning
Programmable Logic Controllers
Programmable Logic Controllers
Electrical Engineering
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education
Fundamentals of Electric Circuits
Fundamentals of Electric Circuits
Electrical Engineering
ISBN:
9780078028229
Author:
Charles K Alexander, Matthew Sadiku
Publisher:
McGraw-Hill Education
Electric Circuits. (11th Edition)
Electric Circuits. (11th Edition)
Electrical Engineering
ISBN:
9780134746968
Author:
James W. Nilsson, Susan Riedel
Publisher:
PEARSON
Engineering Electromagnetics
Engineering Electromagnetics
Electrical Engineering
ISBN:
9780078028151
Author:
Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher:
Mcgraw-hill Education,