Using the substitution s = iw, obtain expressions for AR and phase shift for the following cases for a frequency response analysis. Sketch using asymptotic analysis. a. Gp = K (pure gain system) b. Gp = K(1 + 5s) (first order lead system) c. Gp = K (1 + s)/(1 + 2s) (lead lag system)

Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
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PLEASE SOLVE ALL QUESTIONS
Using the substitution s = iw, obtain expressions for AR and phase shift for the following cases for a
frequency response analysis. Sketch using asymptotic analysis.
a. Gp = K (pure gain system)
b. Gp = K(1 + 5s) (first order lead system)
c. Gp = K (1 + s)/(1+ 2s) (lead lag system)
5e-8s
d. Gp1
Gp2
(15s+1)'
= e-8s; Gp3 =
(FOPDT)
(15s+1)
5e-3s
е. Gp1
(SOPDT)
(15s+1)²
Transcribed Image Text:PLEASE SOLVE ALL QUESTIONS Using the substitution s = iw, obtain expressions for AR and phase shift for the following cases for a frequency response analysis. Sketch using asymptotic analysis. a. Gp = K (pure gain system) b. Gp = K(1 + 5s) (first order lead system) c. Gp = K (1 + s)/(1+ 2s) (lead lag system) 5e-8s d. Gp1 Gp2 (15s+1)' = e-8s; Gp3 = (FOPDT) (15s+1) 5e-3s е. Gp1 (SOPDT) (15s+1)²
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