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A plant has the transfer function given by 1 G(s) (s? + 3s +1)(s? + 7s + 1) and is controlled by a proportional controller G.(s) = K as shown in the block diagram in Figure. For a stable system, calculate the value of K that yields a steady-state error E(s) = Y(s) - R(s) %3D with a magnitude less than 0.01 for a unit step input. Controller Process R(s) G(s) G(s) Y(s)

A plant has the transfer function given by 1 G(s) (s? + 3s +1)(s? + 7s + 1) and is controlled by a proportional controller G.(s) = K as shown in the block diagram in Figure. For a stable system, calculate the value of K that yields a steady-state error E(s) = Y(s) - R(s) %3D with a magnitude less than 0.01 for a unit step input. Controller Process R(s) G(s) G(s) Y(s)

Introductory Circuit Analysis (13th Edition)
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...
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Question

A plant has the transfer function given by

 

 

G(s)=1(s2+3s+1)(s2+7s+1)G(s)=1(s2+3s+1)(s2+7s+1)

 

 

and is controlled by a proportional controller 

 

Gc(s)=KGc(s)=K

 

 as shown in the block diagram in Figure. For a stable system, calculate the value of 

 

KK

 

 

that yields a steady-state error 

 

E(s)=Y(s)−R(s)E(s)=Y(s)−R(s)

 

 

with a magnitude less than 

 

0.010.01

 

 for a unit step input.

A plant has the transfer function given by 1 G(s) (s2 + 3s + 1)(s2 + 7s + 1) and is controlled by a proportional controller Ge(s) = K as shown in the block diagram in Figure. For a stable system, calculate the value of K that yields a steady-state error E(s) = Y(s) – R(s) with a magnitude less than 0.01 for a unit step input. Controller Process R(s) G(s) G(s) Y(s)
Transcribed Image Text:A plant has the transfer function given by 1 G(s) (s2 + 3s + 1)(s2 + 7s + 1) and is controlled by a proportional controller Ge(s) = K as shown in the block diagram in Figure. For a stable system, calculate the value of K that yields a steady-state error E(s) = Y(s) – R(s) with a magnitude less than 0.01 for a unit step input. Controller Process R(s) G(s) G(s) Y(s)
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