Consider the feedback control system in Figure 1: R(s) + U(s). Σ Y(s) G(s) D(s) Figure 1 Let G(s) = and D(s) = k(s+1) where k is a constant. s(s+1) Y(s) (a) Derive the closed-loop transfer function- R(s)* (b) Derive the transfer function U(s) R(s) (c) Write down the characteristic equation for this 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
Consider the feedback control system in Figure 1:
R(s) +/
U(s)
Σ
Y(s)
G(s)
D(s)
Figure 1
Let G(s) =-
and D(s) = k(s +1) where k is a constant.
s(s+1)
(a) Derive the closed-loop transfer function
R(s)
(b) Derive the transfer function U9)
R(s)*
(c) Write down the characteristic equation for this system.
(d) If k = -1, where are poles of this system ? Is the system stable ?
(e) If k = 1, where are the poles of this system ? Is the system stable ?
Transcribed Image Text:Consider the feedback control system in Figure 1: R(s) +/ U(s) Σ Y(s) G(s) D(s) Figure 1 Let G(s) =- and D(s) = k(s +1) where k is a constant. s(s+1) (a) Derive the closed-loop transfer function R(s) (b) Derive the transfer function U9) R(s)* (c) Write down the characteristic equation for this system. (d) If k = -1, where are poles of this system ? Is the system stable ? (e) If k = 1, where are the poles of this system ? Is the system stable ?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 7 steps

Blurred answer
Knowledge Booster
Routh Hurwitz Criteria
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,