In this class we will mostly consider the "parallel" form of the PID controller which has the transfer function given by: G.(8)-X (1+1+13) However, many commercial controllers can be described by the "series" form given by: G,(s)=K. (1++) (5,5+1) where α = 0.05 to 0.02. Consider a feedback control system with the following diagram. 0.25 15s+1 M' 0.75 G₁ Y' 155+1 a) Consider a set point change of 10 when K =4, 1/₁₁ =0, and ɩ₂ = 2 min. What is the response '(t) for the ideal controller? b) Consider a set point change of 10 when K =4, 1/₁₁ =0, and t₂ = 2 min. What is the response '(t) for the series controller using α= 0.02? c) Compare graphs of the responses r'(t) from (a) & (b) on the same chart from times 0 to 1.
In this class we will mostly consider the "parallel" form of the PID controller which has the transfer function given by: G.(8)-X (1+1+13) However, many commercial controllers can be described by the "series" form given by: G,(s)=K. (1++) (5,5+1) where α = 0.05 to 0.02. Consider a feedback control system with the following diagram. 0.25 15s+1 M' 0.75 G₁ Y' 155+1 a) Consider a set point change of 10 when K =4, 1/₁₁ =0, and ɩ₂ = 2 min. What is the response '(t) for the ideal controller? b) Consider a set point change of 10 when K =4, 1/₁₁ =0, and t₂ = 2 min. What is the response '(t) for the series controller using α= 0.02? c) Compare graphs of the responses r'(t) from (a) & (b) on the same chart from times 0 to 1.
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:In this class we will mostly consider the "parallel" form of the PID controller which has the transfer
function given by:
G (8)-K (1+
However, many commercial controllers can be described by the "series" form given by:
G.(s) K 1+
= (1+1)
TBS+1
where a 0.05 to 0.02.
Consider a feedback control system with the following diagram.
0.25
X'
158+1
M'
0.75
G₁₂
F'
15s+1
a) Consider a set point change of 10 when K, 4, 1/1, 0, and t = 2 min. What is the
response Y'(t) for the ideal controller?
b) Consider a set point change of 10 when K, 4, 1/1, 0, and T, = 2 min. What is the
response '(t) for the series controller using α= 0.02?
c) Compare graphs of the responses r'(t) from (a) & (b) on the same chart from times 0 to 1.
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