If a problem refers to "unity feedback" configuration, it means:W(s)U(s) +____*R(s) E(s)D(s)E(S) andw(s)G(s)Problem 1Consider a unity feedback system with G(S) = (s+¹). A control engineer decides touse the controller D (s) = k(s + 2) i.e. a proportional-derivative controller.$3(a) Derive, step by step, the transfer function-formulas. The signal W(s) is called the disturbance.Y(s)Y(s)w(s)Don't just write down(b) Use Routh stability criteria to determine the values of k for which the closedloop system is stable.(c) What is the steady state error Ess to a unit step disturbance?(d) What are the values of k that will ensure that the magnitude of the steady stateerror Ess to a unit step disturbance is less than 0.02?

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If a problem refers to "unity feedback" configuration, it means: W(s) R(s) + E(s) D(s) U(s) + G(s) Y(s) Problem 1 Consider a unity feedback system with G(s) = (s+1). A control engineer decides to use the controller D(s) = k(s + 2) i.e. a proportional-derivative controller. (a) Derive, step by step, the transfer function; formulas. The signal W(s) is called the disturbance. E(s) Y(s) and Don't just write down w(s) w(s) (b) Use Routh stability criteria to determine the values of k for which the closed loop system is stable. (c) What is the steady state error Ess to a unit step disturbance? (d) What are the values of k that will ensure that the magnitude of the steady state error Ess to a unit step disturbance is less than 0.02?

If a problem refers to "unity feedback" configuration, it means: W(s) R(s) + E(s) D(s) U(s) + G(s) Y(s) Problem 1 Consider a unity feedback system with G(s) = (s+1). A control engineer decides to use the controller D(s) = k(s + 2) i.e. a proportional-derivative controller. (a) Derive, step by step, the transfer function; formulas. The signal W(s) is called the disturbance. E(s) Y(s) and Don't just write down w(s) w(s) (b) Use Routh stability criteria to determine the values of k for which the closed loop system is stable. (c) What is the steady state error Ess to a unit step disturbance? (d) What are the values of k that will ensure that the magnitude of the steady state error Ess to a unit step disturbance is less than 0.02?

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

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Question

If a problem refers to "unity feedback" configuration, it means:
W(s)
U(s) +
____*
R(s) E(s)
D(s)
E(S) and
w(s)
G(s)
Problem 1
Consider a unity feedback system with G(S) = (s+¹). A control engineer decides to
use the controller D (s) = k(s + 2) i.e. a proportional-derivative controller.
$3
(a) Derive, step by step, the transfer function-
formulas. The signal W(s) is called the disturbance.
Y(s)
Y(s)
w(s)
Don't just write down
(b) Use Routh stability criteria to determine the values of k for which the closed
loop system is stable.
(c) What is the steady state error Ess to a unit step disturbance?
(d) What are the values of k that will ensure that the magnitude of the steady state
error Ess to a unit step disturbance is less than 0.02?

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