1.) Tune a PI controller for QAD response to set-point changes using Ziegler Nichols (ZN) rules. 2.) Tune a PI controller to minimize the integral of absolute error (IAE) for set-point changes. 3.) Plot the feedback loop response to a set-point change of 5 for the settings determined in (1) and (2) Plot on the same figure and label them. Compare and contrast the two responses. Is one clearly better than the other?
1.) Tune a PI controller for QAD response to set-point changes using Ziegler Nichols (ZN) rules. 2.) Tune a PI controller to minimize the integral of absolute error (IAE) for set-point changes. 3.) Plot the feedback loop response to a set-point change of 5 for the settings determined in (1) and (2) Plot on the same figure and label them. Compare and contrast the two responses. Is one clearly better than the other?
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
1.) Tune a PI controller for QAD response to set-point changes using Ziegler Nichols (ZN) rules.
2.) Tune a PI controller to minimize the integral of absolute error (IAE) for set-point changes.
3.) Plot the feedback loop response to a set-point change of 5 for the settings determined in (1) and (2) Plot on the same figure and label them. Compare and contrast the two responses. Is one clearly better than the other?
![The image contains the following transfer functions, which are commonly used in control systems analysis:
1. Process Transfer Function:
\[
G_p(s) = \frac{50}{30s + 1}
\]
2. Transmission Transfer Function:
\[
G_T(s) = \frac{1}{10s + 1}
\]
3. Valve Transfer Function:
\[
G_v(s) = \frac{0.016}{3s + 1}
\]
These equations represent first-order linear time-invariant (LTI) systems, where:
- \( G_p(s) \) indicates the relationship between input and output in the process.
- \( G_T(s) \) represents a transmission or filter function.
- \( G_v(s) \) denotes a valve or actuator function.
Each function consists of a constant numerator and a linear polynomial in the denominator, indicating exponential decay characteristics in the time domain.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff46cd712-1d53-471c-8e4d-5e78c3c80932%2F176244e8-3b84-4df6-a008-40508ff28ccd%2Fik10hio_processed.png&w=3840&q=75)
Transcribed Image Text:The image contains the following transfer functions, which are commonly used in control systems analysis:
1. Process Transfer Function:
\[
G_p(s) = \frac{50}{30s + 1}
\]
2. Transmission Transfer Function:
\[
G_T(s) = \frac{1}{10s + 1}
\]
3. Valve Transfer Function:
\[
G_v(s) = \frac{0.016}{3s + 1}
\]
These equations represent first-order linear time-invariant (LTI) systems, where:
- \( G_p(s) \) indicates the relationship between input and output in the process.
- \( G_T(s) \) represents a transmission or filter function.
- \( G_v(s) \) denotes a valve or actuator function.
Each function consists of a constant numerator and a linear polynomial in the denominator, indicating exponential decay characteristics in the time domain.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 4 steps with 14 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