EEC158 - Control Systems Design Methods

4 units - Spring Quarter

Lecture: 3 hours

Discussion: 1 hour

Prerequisite: Course 157A

Grading: Letter

Catalog Description: Design methods for feedback control systems, including quantitative feedback theory and linear quadratic regulators.

Relationship to Outcomes:
Students who have successfully completed this course should have achieved:

Course Outcomes ABET Outcomes
An ability to apply knowledge of mathematics, science, and engineering A
An ability to design and conduct experiments, as well as to analyze and interpret data B
An ability to function on multidisciplinary teams D
An ability to identify, formulate, and solve engineering problems E
An ability to use the techniques, skills, and modern engineering tools necessary for engineering practice. K

Expanded Course Description

  1. Quantitative Feedback Theory (QFT)
    1. Introduction to QFT design for uncertain systems
    2. Templates in Nichols chart
    3. Stability bounds
    4. Performance bounds
    5. Controller design
    6. Prefilter design
    7. Design using QFT toolbox
  2. Linear Quadratic Regulator (LQR)
    1. Introduction to realization
    2. Solution for linear time-invariant systems
    3. Introduction to computer control systems
    4. Optimal control for discrete-time systems
    5. Principle of optimality
    6. A recurrence relation of dynamic programming
    7. Discrete linear quadratic regulator problems
Textbook and References:
  1. Lecture notes
  2. I. Horowitz, Quantitative Feedback Design Theory Vol. 1,QFT Publications.
  3. D. Kirk, Optimal Control Theory: an Introduction, Prentice-Hall.

Software Usage: MATLAB (with Control Systems Toolbox) for analysis, design, and simulation.

Engineering Design Statement:
The lectures devote considerable time to discuss design issues and various design methods. The design materials introduced in the lectures are accompanied by computer-aided projects. Students employ MATLAB and the associated toolboxes to carry out a series of design problems. The computer projects involve open-ended design tasks.

Professional Component: Engineering Depth
Engineering Science: 2 units
Engineering Design: 2 units