ECE 68000 - Modern Automatic Control

Credits: 3

Areas of Specialization(s):

Automatic Control

Counts as:

Normally Offered: Fall - odd years

Catalog Description:
Theoretical methods in optimal control theory. Topics include the calculus of variations and the Pontryagin minimum principle with applications to minimum fuel and minimum energy problems. Geometric methods will be applied to the solution of minimum time problems. Computational methods, singular problems, observer theory and sufficient conditions for existence of solutions are also discussed.

Required Text(s):
  1. Systems and Control, Stanislaw Zak, Oxford, ISBN No. 019-515-0112.
Recommended Text(s):
  1. Optimal Control, F. Lewis, John Wiley & Sons, 1986, ISBN No. 0471812404.

Lecture Outline:

Topic
1. Static Optimization A. Optimization without Constraints B. Optimization with Equality Constraints C. Numerical Solution Methods Problems
2. Optimal Control of Discrete-Time Systems A. Solution of the General Discrete Optimization Problem B. Discrete-Time Linear Quadratic Regulator C. Digital Control of Continuous-time Systems D. Steady-State Closed-Loop Control and Suboptimal Feedback E. Frequency-Domain Results F. The Tracking Problem G. Regulator with Function of Final State Fixed H. Second-Order Variations in the Performance Index Problems Problems
3. Optimal Control of Continuous-Time Systems A. The Calculus of Variations B. Solution of the General Continuous Optimization Problem C. Continuous-Time Linear Quadratic Regulator D. Steady-State Closed-Loop Control and Suboptimal Feedback E. Frequency-Domain Results F. The Tracking Problem G. Regulator with Function of Final State Fixed H. Second-Order Variations in the Performance Index I. Final-Time-Free Problems J. Constrained Input Problems Problems
4. Dynamic Programming A. Bellman's Principle of Optimality B. Discrete-Time Systems C. Continuous-Time Systems Problems
5. Optimal Control for Polynomial Systems A. Discrete Linear Quadratic Regulator B. Digital Control of Continuous-Time Systems Problems