ECE 4923/6923

FEEDBACK CONTROL SYSTEMS II

CATALOG DATA: ECE 4923/6923. Feedback Control Systems II. (3)

(Prerequisite: Grade of C or better in ECE 3163).

Three hours lecture. Finite difference and recurrence equations. z‑transform theory. Analysis of sample‑data control systems. Design of digital control systems.

PREREQUISITES BY TOPIC:

1. Laplace transforms
2. Introduction to z-transforms.
3. Introduction to frequency response analysis for continuous systems.
4. Basic stability techniques.
5. Basic block diagram analysis.
6. Basic state variable analysis.

TEXTBOOK(S) AND OTHER REQUIRED MATERIAL:

1. C. L. Phillips and R. D. Harbor, Feedback Control Systems, 3^rd Ed., Prentice-Hall, Inc., 1996.

GENERAL COURSE OBJECTIVES AND RELATIONSHIP TO PROGRAM OBJECTIVES:

1. To introduce the students to basic concepts and stability analysis techniques applicable to sampled-data and discrete-time control systems. [1]
2. To develop the students’ skill in design of compensators to accomplish desired specifications for sampled-data and discrete-time control systems. [1]
3. To develop the students’ ability to relate experimental data with theoretical predictions of system behavior in a laboratory setting. [1, 2, 3]

COURSE TOPICS COVERED:

1. Difference equations. (2 classes)
2. z-Transforms. (4 classes)
3. Digital filters. (2 classes)
4. A/D and D/A conversion. (4 classes)
5. Analysis of sampled-data systems. (8 classes)
6. Techniques for determining stability of sampled-data control systems. (6 classes)
7. Steady-state design of sampled-data control systems. (3 classes)
8. Compensator design of sampled-data control systems. (7 classes)
9. Tests. (4 classes)

LAB TOPICS COVERED:

1. Real-time control with a general purpose digital computer (1 class)
2. Realization of a digital compensator (1 class)
3. Shannon’s sampling theorem (1 class)
4. Digital Position and Speed Control (1 class)
5. Programmable Logic Controllers (1 class)

CONTRIBUTIONS TO PROFESSIONAL COMPONENT:

1. Engineering Science : 1 hour
2. Engineering Design : 2 hours
3. Basic Math and Science : 0 hours

ASSESSMENT:

1. Programming assignments.
2. Quizzes.
3. Final exam.
4. Lab Reports

SPECIFIC COURSE OBJECTIVES AND RELATIONSHIP TO MEASURABLE OUTCOMES:

Objective 1:

• Demonstrate understanding of time domain descriptions of discrete-time systems, including their solution via software. (1,2)
• Demonstrate the application of z-transforms to the analysis of discrete time systems, including the use of block diagrams, simulation diagrams, and signal flow graph descriptions. (1)
• Demonstrate the use of state variables in describing discrete-time systems, including their solution via computer methods. (1,2)
• Demonstrate understanding of the implications of sampling of continuous-time signals, including the starred transform, and data reconstruction techniques. (1)
• Demonstrate capabilities in finding transfer functions for open-loop and closed-loop systems, along with state variable descriptions of these systems. (1)
• Demonstrate expertise in the use of computer software in analyzing sampled-data systems, including the determination of closed-loop transfer functions and the solution of state variable descriptions of systems. (1,2)
• Demonstrate understanding of the computation of stability conditions for discrete-time and sampled-data systems (utilizing Jury’s test, the Nyquist Criterion, the Bilinear transformation, and direct computational methods). (1,2)
• Demonstrate an understanding of steady-state accuracy calculations as applied to sampled-data and discrete-time systems. (1)

Objective 2:

• Demonstrate a basic understanding of the appropriate selection of compensator type for stabilization and performance enhancement of sampled-data and discrete-time systems. (1,5)
• Demonstrate capabilities in calculating the coefficients required for phase-lead and phase-lag designs. (1,2,5)
• Demonstrate capabilities in the specification of digital PID controllers, as well as subset controllers. (1,2,5)
• Demonstrate the development of software to support the hardware design efforts described in the previous objective statements. (1,2,9)

Objective 3:

• Demonstrate the ability to communicate experimental findings and data by writing a comprehensive technical report. (7)
• Demonstrate the ability to analyze and interpret experimental data. (3,4,5)
• Develop an understanding of alternative implementation possibilities for digital control. (4,5)

PREPARED BY:

Dr. Randolph F. Follett, Assistant Professor of Electrical and Computer Engineering, September 15, 2004.