Assignments

Problems for Class:

Problem 1.1 in the text
Problem 1.5

Problem for Submission:

Problem 1.8

Note your Laboratory 1 report is due at the same time as this assignment.

### Homework #2 (Due January 23, 2014)

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:

### Homework #3 (Due January 30, 2014)

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:

### Homework #4 (Due February 6, 2014)

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:

Tuesday (02/3): Complete Chapter 5 Study
Thursday (2/5): Chapter 6: Higher order system behavior (HW4 Due, HW 5 Assigned)
Tuesday (02/10): Chapter 6

### Homework #5 (Due February 18, 2014)

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)

Tuesday (2/11):           Chapter 6: Higher Order System Behavior (HW4 Due, HW 5 Assigned)

Thursday (2/13):         Exam 1: Chapters 1-5

Tuesday (2/18):           Chapter 7: Empirical Model Development (HW 5 Due, HW 6 Assigned)

### Homework #6 (Due February 25, 2014)

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

Assignment Learning Objectives:

Empirically derive models from tabular data, system responses, and higher order models (1, 3) Describe the action of controllers, select signs of controller gains, and analyze simple control scenarios (2, 4)

Thursday (2/13):         Chapter 7: Empirical Model Development

Tuesday (2/18):           Chapter 8: Feedback control (HW 5 Due, HW 6 Assigned)

Thursday (02/20):

Tuesday (02/25)          Chapter 9: Instrumentation    (HW 6 Due, HW 7 Assigned)

Thursday (02/27)        Chapter 10: Control System Design Principles

Tuesday (03/04)          HW 7 Due, HW 8 Assigned

Thursday (03/06)        Chapter 11: Closing the Loop

### Homework #7 (Due March 18, 2009)

Hardware!

Problems for Class:

1. 9.1
2. 9.9
3. 13.
2

Problems for Submission:

9.6
13.8

Assignment Learning Objectives:

·         Determine the transfer function for process transmitters (1)

·         Analyze sensor data and develop appropriate models to represent the sensor/transmitter (2)

·         Select reasonable process variables for control purposes (3)

·         Describe mathematically the response of valves and specify valve characteristics to meet process control specifications (4)

·         Describe mathematically the response of valves and specify valve characteristics to meet process control specifications (5)

Tuesday (03/04)          Chapter 13: Control System Design Principles

Thursday (03/06)        Finish Chapter 13        HW 7 Due, HW 8 Assigned

Tuesday (03/11)          Chapter 10: Safety and Controls

Thursday (03/13)        EXAM 2 (Ch. 6-9, 13)

Tuesday (03/18)          Spring Break

Thursday (03/20)        Spring Break

Tuesday (03/25)          Chapter 11 (HW 8 Due, HW 9 Assigned)

### Homework #8 (Due March 25, 2014)

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)

Tuesday (03/11)          Chapter 13: Control System Design Principles

Thursday (03/13)        Chapter 11 (HW 7 Due, HW 8 Assigned)

Tuesday (03/18)          Spring Break

Thursday (03/20)        Spring Break

Tuesday (03/25)          Chapter 12 (HW 8 Due, HW 9 Assigned)

Thursday (03/27)        EXAM 2 (Ch. 6-9, 13)

### Homework #9 (Due April 1, 2014)

Tune In, Tune Out, Tune Off

Problem for Class:

1. 12.16

Problems for Submission

3. 12.3
4. 12.12

Assignment Learning Objectives:

Determine tuning parameters for a closed loop system (2, 3) Troubleshoot problems in closed loop systems (1)

Tuesday (03/25)          Chapter 12 Controller Design and Tuning (HW 8 Due, HW 9 Assigned)

Thursday (03/27)        EXAM 2 (Ch. 6-9, 13)

Tuesday (04/01)          Chapter 15: Feed-forward control (HW 9 Due, HW 10 Assigned)

### Homework #10 (Due April 10, 2014)

Problems for Class:

1. 16.5
2. 16.15
3. 16.18

Problems for Submission

4. 15.3
5. 15.8
6. 16.7
7. 16.21

Assignment Learning Objectives:

Develop skills to enable life-long learning (1)  Design and analyze cascade, Smith predictor, selective, adaptive control schemes for optimal control (1,2,3,6,7) Design and analyze feedforward and ratio control systems (4, 5)

Tuesday (04/01)          Chapter 15: Feed-forward control (HW 9 Due, HW 10 Assigned)

Thursday (04/03)        Chapter 16: Cascade Control

Tuesday (04/08)          Project Work, No class meeting

Thursday (04/10)        Chapter 18: Multivariable Control (HW10 Due, HW 11Assigned)

### Homework #11 (Due April 17, 2014)

MIMO

1. You should attend the ISA Annual Vendors' Show - Paducah Section on April 17, 2014. Show hours are typically from 2:00 PM - 7:00 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 at least one innovative approach to instrumentation or control.

2. 18.14

Problems for Submission:

2. 18.15
3. 18.21

Assignment Learning Objectives:

Develop skills to enable life-long learning (1)
Develop awareness and obtain knowledge of contemporary issues (1) Determine appropriate pairings of variables in a MIMO system based on physical reasoning (2) Determine appropriate pairings of variables based on RGA analysis (3,4)

Thursday (04/10)        Chapter 18: Multivariable Control (HW10 Due, HW 11Assigned)

Tuesday (04/15)          Statistical Process Control

Thursday (04/17)        ISA Instrument Show, Robert Cherry Civic Center (class will also meet)

Tuesday (04/22)          Chapter 13: Frequency Response Analysis

Thursday (04/24)        Exam 3, Chapters 11-12, 15-16, 18 (tentative coverage)

### Homework #12 (Due In Class)

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)

Monday (4/27)            Statistical Process Control

Wednesday (4/29)      Project Report

Wednesday (5/06)      Comprehensive Final Exam (8AM)