ECE 620

Optimal Control Theory
Spring 2005

You can download a .pdf version of the course syllabus.


Class Time: Wednesday, 7:20 - 10:00 p.m., Robinson, Rm. B-124, Dr. Beale
Prerequisites: ECE 521
Text: Optimal Control, 2nd Edition, F.L Lewis and V.L Syrmos, John Wiley & Sons, New York, 1995.


 Suggested Problems in Text

Examples

Projects

Bibliography

Objectives

Grading

Important Dates

Course Outline

Course Calendar

Objectives:

To provide the student with the purposes, terminology, and fundamental mathematics of optimal control theory.


To enable the student to intelligently evaluate optimal control techniques and to design control systems which behave in an optimal fashion.


To enable the student to understand the literature and conduct research in the field of optimal control.

Course Requirements:


Requirement

Weight
Midterm Exam

25%
Design Project 25%
Paper Review 15%
Final Exam 35%

Unless otherwise announced, the midterm and final exams will be held during normal class times on the dates specified below. They will be open-book and open-note exams.

Important Dates:

Midterm Exam -- Wednesday, March 2 -- Chapters 1 and 2

Final Exam -- Wednesday, May 11, 7:30 - 10:15 p.m. -- Chapters 3, 4, 5, 7, 8

Last day to drop classes without Dean's permission -- Friday, February 25

No class on Wednesday, March 16, due to Spring Break!!

Course Outline:

Chapter 1 -- Introduction: what optimal control is, comparison with classical control, useful performance measures, an optimal control example, static optimization - 1.5 weeks.


Chapter 2 -- General discrete-time optimal control problem for dynamic systems, discrete linear quadratic regulator, the steady-state regulator and its properties, frequency domain results - 3.5 weeks.


Chapter 3 -- Dynamic continuous time systems, the general optimal control problem, Pontryagin’s minimum principle, the linear quadratic regulator problem, the steady-state regulator - 3 weeks.


Chapter 4 -- Continuous-time and discrete-time optimal tracking control - 2 weeks.


Chapter 5 -- The Minimum Principle for constrained input problems, minimum time control, minimum fuel control - 2 weeks.


Chapter 7 -- Polynomial formulation for discrete-time systems, polynomial performance indices, optimal polynomial control - 1 week.

 

Course Calendar:
Day Date Topic Chapter
Wednesday
Jan. 26
 Introduction
1
Wednesday
Feb. 2
Static optimization, introduction to discrete-time LQR
1, 2
Wednesday
Feb. 9
Discrete-time LQR, derivation of equations
2
Wednesday
Feb. 16
Discrete-time LQR, examples, choosing weighting matrices
2
Wednesday
Feb. 23
Discrete-time LQR, the steady-state regulator
2
Wednesday
Mar. 2
Mid-Term Exam
1, 2
Wednesday
Mar. 9
Continuous-time LQR, derivation of equations
3
Wednesday
Mar. 23
Continuous-time LQR, examples
3
Wednesday
Mar. 30
Continuous-time LQR, the steady-state regulator
3
Wednesday
Apr. 6
Optimal tracking systems
4
Wednesday
Apr. 13
Optimal tracking system
4
Wednesday
Apr. 20
Minimum-time control
5
Wednesday
Apr. 27
 Minimum-fuel control
5
Wednesday
May 4
Optimal polynomial control
6
Wednesday
Mar. 11
 Final Exam
3, 4, 5, 7


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Latest revision was made on Wednesday, May 17, 2006 9:23 PM