an systems obeying a first-order transfer function (with no zeroes) khibit an oscillatory response to a step change in an input? Will all systems with a transfer function that is second order and igher exhibit an oscillatory response?
an systems obeying a first-order transfer function (with no zeroes) khibit an oscillatory response to a step change in an input? Will all systems with a transfer function that is second order and igher exhibit an oscillatory response?
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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Question
Transcribed Image Text:Can systems obeying a first-order transfer function (with no zeroes)
exhibit an oscillatory response to a step change in an input?
Will all systems with a transfer function that is second order and
higher exhibit an oscillatory response?
Using the block diagram below, what is the transfer function between
Yıand U1?
-. Using the block diagram below, what is the transfer function between
Yjand U3?
5. Assuming K1, K2,T1 > 0 in the figure below, what qualitative
features do you anticipate in the response of Y1 to a unit step change
in U1 (s) = 1/s? By qualitative features, comment on whether you
expect oscillations, an approach to a new steady state or a return to
the old steady state, exponential divergence, etc.
Expert Solution
Answer
1. No it can not show oscillatory behavior because when step change occurs the value of output reaches its ultimate value that is 63.2% when the time elapsed is equal to one time constant.
The response of 1 order system to step-change in the input is Y(t) = A(1 - e-t/) when t is greater than or equal to zero.
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