Answered: D Controller Process Y sp E P Y Ge G…

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

Consider the two feedback control strategies shown in Fig. (withG=GvGpGm) and the following transfer func-tions:Gp(s)=Gd(s)=2(1−s)/s,Gv(s)=2,Gm(s)=1(a)Design an IMC controller,G∗c,usingafilter,f=1/(τ꜀s+1).(b)Suppose that the IMC controller will be implemented as a controller Gc in the classical feedback control configurationof (a). Derive an expression forGcandreportitinastandard form (e.g., P, PI, or PID).

D
Controller
Process
Y sp
E
P
Y
Ge
G
(a) Conventional feedback control
Controller
Process
Ysp
E*
P
Y
G
Y
G
Internal model
Y - Y
(b) Internal model control

Expert Solution

Step 1

Given

$G_{p} (s) = G_{D} (s) = \frac{2 (1 - s)}{s} G_{v} (s) = 2 G_{m} (s) = 1$

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