Consider the open-loop unstable second-order process transfer function: G; = (s +2)(s – 1) The sensor and valve can be modeled simply using gains (Km=1 and K = 0.4). (a) Find the range of K. for a proportional-only controller that will stabilize this process. (b) It turns out that K. = 4.0 will yield a stable closed-loop response. (Note – If this is NOT in your stability range from part (a), you should check your results!). In practice, there is measurement lag on the sensor measurement: Gm = TmS + 1
Consider the open-loop unstable second-order process transfer function: G; = (s +2)(s – 1) The sensor and valve can be modeled simply using gains (Km=1 and K = 0.4). (a) Find the range of K. for a proportional-only controller that will stabilize this process. (b) It turns out that K. = 4.0 will yield a stable closed-loop response. (Note – If this is NOT in your stability range from part (a), you should check your results!). In practice, there is measurement lag on the sensor measurement: Gm = TmS + 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
Related questions
Question
Transcribed Image Text:Consider the open-loop unstable second-order process transfer function:
2
(s + 2)(s – 1)
The sensor and valve can be modeled simply using gains (Km = 1 and K = 0.4).
(a) Find the range of Ke for a proportional-only controller that will stabilize this process.
(b) It turns out that Ke = 4.0 will yield a stable closed-loop response. (Note – If this is NOT in
your stability range from part (a), you should check your results!). In practice, there is
measurement lag on the sensor measurement:
Gm
TmS +1
For a controller gain of Ke = 4.0, find out how slow the sensor measurement can be (e.g.,
the maximum measurement time constant Tm) before the closed-loop response becomes
unstable.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 1 images
Recommended textbooks for you
Introduction to Chemical Engineering Thermodynami…
Chemical Engineering
ISBN:
9781259696527
Author:
J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:
McGraw-Hill Education
Elementary Principles of Chemical Processes, Bind…
Chemical Engineering
ISBN:
9781118431221
Author:
Richard M. Felder, Ronald W. Rousseau, Lisa G. Bullard
Publisher:
WILEY
Elements of Chemical Reaction Engineering (5th Ed…
Chemical Engineering
ISBN:
9780133887518
Author:
H. Scott Fogler
Publisher:
Prentice Hall
Introduction to Chemical Engineering Thermodynami…
Chemical Engineering
ISBN:
9781259696527
Author:
J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:
McGraw-Hill Education
Elementary Principles of Chemical Processes, Bind…
Chemical Engineering
ISBN:
9781118431221
Author:
Richard M. Felder, Ronald W. Rousseau, Lisa G. Bullard
Publisher:
WILEY
Elements of Chemical Reaction Engineering (5th Ed…
Chemical Engineering
ISBN:
9780133887518
Author:
H. Scott Fogler
Publisher:
Prentice Hall
Industrial Plastics: Theory and Applications
Chemical Engineering
ISBN:
9781285061238
Author:
Lokensgard, Erik
Publisher:
Delmar Cengage Learning
Unit Operations of Chemical Engineering
Chemical Engineering
ISBN:
9780072848236
Author:
Warren McCabe, Julian C. Smith, Peter Harriott
Publisher:
McGraw-Hill Companies, The