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In the system shown in Figure (3), assume G, (s) = p and G2(s) = 1/(s + 5) then find the controller gain p which yields error due to constant disturbance 0.01 of D(s). After that, calculate the steady state error, for the value of p, to a constant reference input. D(s) R(s) G;(s) G2(s) C(s) Figure (3) 2-3

In the system shown in Figure (3), assume G, (s) = p and G2(s) = 1/(s + 5) then find the controller gain p which yields error due to constant disturbance 0.01 of D(s). After that, calculate the steady state error, for the value of p, to a constant reference input. D(s) R(s) G;(s) G2(s) C(s) Figure (3) 2-3

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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In the system

In the system shown in Figure (3), assume G, (s) = p and G2(s) = 1/(s + 5) then find the controller gain p which yields error due to constant disturbance 0.01 of D(s). After that, calculate the steady state error, for the value of p, to a constant reference input. D(s) R(s) G;(s) G2(s) C(s) Figure (3) 2-3
Transcribed Image Text:In the system shown in Figure (3), assume G, (s) = p and G2(s) = 1/(s + 5) then find the controller gain p which yields error due to constant disturbance 0.01 of D(s). After that, calculate the steady state error, for the value of p, to a constant reference input. D(s) R(s) G;(s) G2(s) C(s) Figure (3) 2-3
Expert Solution
Step 1

Given data,

G1(s) = p, G2(s) = 1(s+5)

Electrical Engineering homework question answer, step 1, image 1

 

Step 2

Transfer function due to distribution,

C(s)D(s) = G2(s)1+G2(s)G1(s)           =1(s+5)1+p(s+5)           =1(s+5)+p

Steady state value with disturbance input,

C(α) = lims→0 D(s).1s+(5+p).s

D is constant disturbance

Let D(s) =ds

d5+p = 0.99d15+p = 0.99p = -3.98

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