2- dy₁ =-2y₁-3y²+2u dt dy =4y' −6y+2u +4u½ dt where the u and y are deviation variables of the inputs (the u values) & the dependent variables (the y values). a) What is the transfer function relating to ½ (i.e., /₂)? b) Put the denominator of this transfer function into the standard form for a 2nd order system (i.e., t²s² +25ts+1). What are the expressions for t & 5? c) Will a solution for y2(t) show oscillatory behavior because of this transfer function?
2- dy₁ =-2y₁-3y²+2u dt dy =4y' −6y+2u +4u½ dt where the u and y are deviation variables of the inputs (the u values) & the dependent variables (the y values). a) What is the transfer function relating to ½ (i.e., /₂)? b) Put the denominator of this transfer function into the standard form for a 2nd order system (i.e., t²s² +25ts+1). What are the expressions for t & 5? c) Will a solution for y2(t) show oscillatory behavior because of this transfer function?
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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Transcribed Image Text:2-
dy₁ =-2y₁-3y²+2u
dt
dy
=4y' −6y+2u +4u½
dt
where the u and y are deviation variables of the inputs (the u values) & the dependent variables
(the y values).
a) What is the transfer function relating to ½ (i.e.,
/₂)?
b) Put the denominator of this transfer function into the standard form for a 2nd order system
(i.e., t²s² +25ts+1). What are the expressions for t & 5?
c) Will a solution for y2(t) show oscillatory behavior because of this transfer function?
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