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Homework assignments posted here are subject to correction in class or
through other means. Problems as assigned here are for your convenience
but are not a substitute for obtaining assignments in class.
Assignments as issued in class supersede these assignments unless otherwise
noted.
Homework Assignment: 1 2 3
4 5 6 7
8 9 10 11
12
Process Control and the Modern Student
Problems for Class:
1. Problem 1.1 in the text.
2 .
Problem 1.5
Problems for Submission:
3. Problem 1.8
Note your Laboratory 1 report is due at the same time as this
assignment.
Assignment Learning Objectives:
 | Establish the role of process control in engineering processes (1, 2, 3,
Lab) |
| Identify required elements in a control system (1, 3, Lab) |
| Distinguish between feedforward and feedback control (1, 2, 3) |
Reading Assignments:
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Monday (1/12): Chapter 1: Introduction to Process
Control
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Wednesday (1/14): Chapter 2: Dynamic Process
Modeling (HW1 Due, HW2 Assigned)
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If Something is Dynamic, Is It Always a Good Thing?
Problem for Class:
1. Problems 2.3 in the text.
Problem for Submission:
2. A liquid of constant density is
fed at a constant volumetric rate F0 into a conical tank of height
Hmax
and maximal radius Rmax. The flow out of the tank is
Kvh1/2
where h is the height of the liquid in the tank and Kv is
the valve coefficient (see Figure 1)
Figure 1. Conical Tank System.
A. Obtain a dynamic model which describes the height of liquid in the tank.
B. Using the model, how is the steady state value of
h affected by
changing F0 ?
Kv ?
Rmax?
and Hmax? Explain.
C. What is the effect of changing Rmax on the rate of
change of h? Why do you expect this?
D. Simulate the system in order to verify your predictions using the
following nominal parameters:
Rmax = 5 ft
Hmax = 10 ft
Kv =1 ft1/2/ s
h(0) = 2 ft
F0 =2 ft3/s
To check the effects of Rmax on steady state and rate of
response, vary the values of Rmax to 3, 4, 5, 6 and 7 ft.
Next, put Rmax back to 5 ft and check the effects of
changing valve coefficient Kv to 0.9, 1.0 and 1.1. After
putting Kv back to 1.0, investigate the effects of the feed
rate F0 to 1.7, 2, and 2.3. Finally, set
F0
back to 2.0 and investigate the effects of starting the simulation at
different initial conditions, i.e. h(0) at 3, 4 and 5 ft.
Summarize the trends observed in a table, for example:
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Changes in Variable |
Effect on Steady State |
Effect on Rate of Response |
|
as x increases |
increases |
Faster |
...
|
...
|
...
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Assignment Learning Objectives:
| Derive dynamic models for chemical processes (1, 2) |
| Use computer software to solve differential equations (2) |
Reading Assignments:
| Monday (1/19): MLK Holiday, no class meeting |
| Wednesday (1/21): Chapter 3: Laplace Transforms (HW 2 Due, HW3
Assigned) |
The Laplace Domain: Making Your Life Easier One Step Function at a Time
Problems for Class:
1. Solve Problem 3.7 b, c and then solve for y(t). What are the ODE’s
that correspond to these two transforms?
2. Problem 3.4 from your text
3. In equation (4-32), find the units of b1 and b2.
Problems for Submission:
4.
Problem 3.12 from your text.
Perform the attached laboratory exercise
and submit the results by the due date.
Assignment Learning Objectives:
| Practice fundamentals of dimensional analysis (3) |
| Perform operations involving forward and inverse Laplace transforms (1,
2, 4) |
| Compare model predictions for a step input to experimental data (Lab
2) |
Reading Assignments:
| Monday (1/26): Chapter 4: Transfer Functions |
| Wednesday (1/28): Chapter 5: 1st and 2nd Order Dynamics (HW3 Due,
HW4 Assigned) |
Transfer This
Problems for Class:
1. 4.1 from your text
2.
4.2 from your text
3. Solve Problem 5.8 a, b, c.
Problems for Submission:
4. Problem 4.7 from your text.
5.
Problem 5.3 from your text
6. Problem 5.12 from your text
7.
Problem 5.16 from your text
Assignment Learning Objectives:
| Develop process models and express in transfer function form (1,2, 4) |
| Describe the response of first order processes (3, 5) |
| Describe the response of second order processes (6, 7) |
Reading Assignments:
| Monday (02/02): Complete Chapter 5 Study |
| Wednesday (2/4): Chapter 6: Higher order system behavior (HW4 Due, HW 5
Assigned) |
| Monday (02/09): Chapter 6 |
May I Take Your Higher Order?
Problems for Class:
1. 6.6 from your text
2. 6.9 f, g, h from your text
3. Work through the first part of the tutorial on Matlab and
Simulink, then complete problem 6.12
Problems for Submission:
4. Problem 6.7 from your text.
5. Problem 6.23 from your text
Assignment Learning Objectives:
| Analyze process models involving lead-lag terms (1, 4) |
| Approximate higher order models using the FOPTD and SOPTD models (2, 3) |
| Describe the response of higher-order processes (5) |
| Use engineering software to analyze process dynamics (3, 5) |
Reading Assignments:
| Monday (2/16): President’s Day Holiday (No Class Meeting) |
| Wednesday (2/18): Chapter 6: Higher Order System Behavior (HW4 Due, HW 5
Assigned) |
| Monday (2/23): Chapter 6; Exam 1: Chapters 1-5 (TBA) |
| Wednesday (2/25): Chapter 7: Empirical Model Development (HW 5 Due, HW 6
Assigned) |
Fundamental Control Elements with a Black Box
Crème Filling
Problems for Class:
1. 7.4
2. 8.4
Problems for Submission:
3.
7.10
4. 8.6
Note your regularly scheduled lab on process identification has been
replaced by your industrial project.
Assignment Learning Objectives:
| Empirically derive models from tabular data, system responses, and
higher order models (1, 3, 5) |
| Describe the action of controllers, select signs of controller gains,
and analyze simple control scenarios (2, 4) |
Reading Assignments:
| Monday (03/02): Chapter 8: Feedback control |
| Wednesday (03/04): Chapter 9: Instrumentation (HW 6 Due, HW 7 Assigned)
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| Monday (03/09) Spring Break |
| Wednesday (03/11) Spring Break |
| Monday (03/16) Chapter 10: Control System Design Principles |
| Wednesday (03/18) Finish Chapter 10 HW 7 Due, HW 8 Assigned |
| Monday (03/23) Chapter 11: Closing the Loop; EXAM 2 (Ch. 6-10) |
| Wednesday (03/25) More Loop Closure HW 8 Due, HW 7 Assigned |
Hardware!
Problems for Class:
1. 9.1
2. 9.6
3. 9.9
4, Read and be prepared to discuss the attached articles on Vortex
flowmeters and radar technology. You should be able to give a basic
explanation of how the devices work. (Due 3/16)
5. Read and be preapared to discuss the attached article on Coriolis
Meters and be prepared to discuss and answer questions. (Due 3/18)
6. Read the article on Alarm management and be prepared to discuss
and answer questions.
7. 10.2
Problems for Submission :
8. 10.8
9. 10.11
Assignment Learning Objectives:
| Determine the transfer function for process transmitters (1) |
| Describe mathematically the response of valves and specify valve
characteristics to meet process control specifications (2) |
| Analyze sensor data and develop appropriate models to represent the
sensor/transmitter (3) |
| Develop an ability to engage in lifelong learning and to understand
contemporary problems through use of the technical literature (4, 5, 6) |
| Select reasonable process variables for control purposes (7) |
| Describe mathematically the response of valves and specify valve
characteristics to meet process control specifications (8) |
| Analyze processes for control characteristics from safety and
environmental impact perspecticves (9) |
Reading Assignments:
| Monday (03/09) Spring Break |
| Wednesday (03/11) Spring Break |
| Monday (03/16) Chapter 10: Control System Design Principles |
| Wednesday (03/18) Finish Chapter 10 HW 7 Due, HW 8 Assigned |
| Monday (03/23) Chapter 11: Closing the Loop; EXAM 2 (Ch. 6-10) |
| Wednesday (03/25) More Loop Closure HW 8 Due, HW 7 Assigned |
Closing The Loop
Problems for Class:
1. 11.13
Problems for Submission
2. 11.2
3. 11.4
4. 11.9
5. 11.19
Assignment Learning Objectives:
| Analyze a closed loop system for stability and determine limits on
controller gain (1,5) |
| Analyze closed loop systems and their responses (2,3,4) |
Reading Assignments:
| Monday (03/23) Chapter 11: Closing the Loop; EXAM 2 (Ch. 6-10) |
| Wednesday (03/25) More Loop Closure HW 8 Due, HW 9 Assigned |
| Monday (03/30) Chapter 12: Controller Design and Tuning |
| Wednesday (04/01) Chapter 13: Controlling Human Cloning |
April 6, 2009)
Tune In, Tune Out, Tune Off
Problems for Class:
1. 12.16
Problems for Submission
3.
12.3
4. 12.12
Complete the laboratory exercise assigned
Assignment Learning Objectives:
| Determine tuning parameters for a closed loop system (2,
3) |
| Troubleshoot problems in closed loop systems (1) |
Reading Assignments:
| Wednesday (03/25) More Loop Closure HW 8 Due, HW 9 Assigned
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| Thursday (3/26) Exam 2, Chapters 6-10, 12:30 PM
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| Monday (03/30) Chapter 12: Controller Design and Tuning
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| Wednesday (04/01) Chapter 15: Feed-forward control
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| Monday (4/6) Project Work, No class meeting (HW9 Due, HW
10 Assigned) |
| Wednesday (4/8) Chapter 16: Cascade Control
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| Monday (4/13) Chapter 18: Multivariable Control
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| Tuesday (4/14) ISA Instrument Show, Robert Cherry Civic
Center |
| Wednesday (4/15) Chapter 13: Frequency Response Analysis
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| Monday (4/20) Bode and Nyquist Plots
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| Wednesday (4/22) Chapter 14: Frequency Response Design
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| Thursday (4/23) Exam 3, Chapters 11-12, 15-16, 18 (Tentative)
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| Monday (4/27) Statistical Process Control
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| Wednesday (4/29) Project Report |
| Wednesday (5/06) Comprehensive Final Exam (8AM)
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Aren’t We Becoming Advanced?
Problems for Class:
1. You should attend the ISA 39th Annual Vendors' Show - Paducah
Section on April 14, 2009. Show hours are typically from 4:00 PM - 8:00 PM.
It will be held at the Cherry Civic Center located at H. C. Mathis & Park
Avenue. A free bar-b-que dinner and beverage will be provided for attendees. While at the show, you should obtain information that will enable you to
discuss:
| The major standards in ethernet-based control signaling for distributed
control systems |
| Two measurement techniques you were not aware of prior to attending this
show |
2. 16.5
3. 16.15
4. 16.18
Problems for Submission
5. 15.3
6. 15.12
7. 16.7
8. 16.21
Assignment Learning Objectives:
| Develop skills to enable life-long learning (1) |
| Develop awareness and obtain knowledge of contemporary issues (1) |
| Design and analyze cascade, Smith predictor, selective, adaptive control
schemes for optimal control (2,3,4,7,8) |
| Design and analyze feedforward and ratio control systems (5, 6) |
Reading Assignments:
| Wednesday (4/8) Chapter 16: Cascade Control |
| Monday (4/13) Chapter 18: Multivariable Control |
| Tuesday (4/14) ISA Instrument Show, Robert Cherry Civic Center |
| Wednesday (4/15) Chapter 13: Frequency Response Analysis (HW10 Due, HW
11 Assigned) |
| Monday (4/20) Bode and Nyquist Plots |
| Wednesday (4/22) Chapter 14: Frequency Response Design |
| Thursday (4/23) Exam 3, Chapters 11-12, 15-16, 18 (Tentative) |
| Monday (4/27) Statistical Process Control |
| Wednesday (4/29) Project Report |
| Wednesday (5/06) Comprehensive Final Exam (8AM) |
MIMO
1. 18.14
Problems for Submissio n:
2. 18.15
3. 18.18a
Assignment Learning Objectives:
| Determine appropriate pairings of variables in a MIMO system based on
physical reasoning (1) |
| Determine appropriate pairings of variables based on RGA analysis (2) |
| Evaluate performance of systems involving decouplers (3) |
Reading Assignments:
| Wednesday (4/15) Chapter 13: Frequency Response Analysis (HW10 Due, HW
11 Assigned) |
| Monday (4/20) Bode and Nyquist Plots |
| Wednesday (4/22) Chapter 14: Frequency Response Design |
| Thursday (4/23) Exam 3, Chapters 11-12, 15-16, 18 (Tentative) |
| Monday (4/27) Statistical Process Control |
| Wednesday (4/29) Project Report |
| Wednesday (5/06) Comprehensive Final Exam (8AM) |
Doing homework too frequently leads to unstable systems
Problems for Class and Submission:
1. 13.5 (a-c) (plot and calculate by hand the requested points)
2. 13.8
3. 14.5 (do not do part b graphically)
4. 14.7 a,b (note the first
frequency entry should be 0.01, not 0.1)
Assignment Learning Objectives:
| Use amplitude and phase angle relationships to develop Bode plots (1) |
| Use engineering software to develop Bode plots for FR analysis (2) |
| Determine controller settings by FR model analysis (3) |
| Use experimental FR data to obtain suitable controller settings (4) |
Reading Assignments:
| Thursday (4/23) Exam 3, Chapters 11-12, 15-16, 18 (Tentative) |
| Monday (4/27) Statistical Process Control |
| Wednesday (4/29) Project Report |
| Wednesday (5/06) Comprehensive Final Exam (8AM) |
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