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Q12/ A second-order critically damped process has the transfer Function: Y(s)/U(s)= K/(Ts + 1)² (a) For a step change in input of magnitude M, what is the time (ts) required for this process to settle to within 5% of the total change in the output? (b) For K = 1 and a ramp change in input, u(t) = at, by what time period does y(t) lag behind u(t) once the output is changing linearly with time? %3D

Q12/ A second-order critically damped process has the transfer Function: Y(s)/U(s)= K/(Ts + 1)² (a) For a step change in input of magnitude M, what is the time (ts) required for this process to settle to within 5% of the total change in the output? (b) For K = 1 and a ramp change in input, u(t) = at, by what time period does y(t) lag behind u(t) once the output is changing linearly with time? %3D

Introduction to Chemical Engineering Thermodynamics
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
Section: Chapter Questions
Problem 1.1P
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Q12/ A second-order critically damped process has the transfer Function: Y(s)/U(s)= K/(Ts + 1)² (a) For a step change in input of magnitude M, what is the time (ts) required for this process to settle to within 5% of the total change in the output? (b) For K = 1 and a ramp change in input, u(t) = at, by what time period does y(t) lag behind u(t) once the output is changing linearly with time?
Transcribed Image Text:Q12/ A second-order critically damped process has the transfer Function: Y(s)/U(s)= K/(Ts + 1)² (a) For a step change in input of magnitude M, what is the time (ts) required for this process to settle to within 5% of the total change in the output? (b) For K = 1 and a ramp change in input, u(t) = at, by what time period does y(t) lag behind u(t) once the output is changing linearly with time?
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