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

Homework #1 (Due January 14, 2009)

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)

 Monday (1/12): Chapter 1: Introduction to Process Control Wednesday (1/14): Chapter 2: Dynamic Process Modeling (HW1 Due, HW2 Assigned)

Homework #2 (Due January 21, 2009)

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:

 Changes in Variable Effect on Steady State Effect on Rate of Response as x increases increases Faster ... ... ...

Assignment Learning Objectives:

 Derive dynamic models for chemical processes (1, 2) Use computer software to solve differential equations (2)

 Monday (1/19): MLK Holiday, no class meeting Wednesday (1/21): Chapter 3: Laplace Transforms (HW 2 Due, HW3 Assigned)

Homework #3 (Due January 28, 2009)

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)

 Monday (1/26): Chapter 4: Transfer Functions Wednesday (1/28): Chapter 5: 1st and 2nd Order Dynamics (HW3 Due, HW4 Assigned)

Homework #4 (Due February 18, 2009)

Transfer This

Problems for Class:
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)

 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

Homework #5 (Due February 25, 2009)

May I Take Your Higher Order?

Problems for Class:

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)

 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)

Homework #6 (Due March 4, 2009)

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)

 Monday (03/02): Chapter 8: Feedback control Wednesday (03/04): Chapter 9: Instrumentation (HW 6 Due, HW 7 Assigned) 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

Homework #7 (Due March 18, 2009)

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)

 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

Homework #8 (Due March 25, 2009)

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)

 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

Homework #9 (Due 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)

 Wednesday (03/25)    More Loop Closure     HW 8 Due, HW 9 Assigned Thursday (3/26)          Exam 2, Chapters 6-10, 12:30 PM Monday (03/30)          Chapter 12: Controller Design and Tuning Wednesday (04/01)    Chapter 15: Feed-forward control Monday (4/6)              Project Work, No class meeting (HW9 Due, HW 10 Assigned) 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 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)

Homework #10 (Due April 15, 2009)

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)

 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)

Homework #11 (Due April 22, 2009)

MIMO

1. 18.14

Problems for Submission:

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)

 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)

Homework #12 (Due April 29, 2009)

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)