ME 561: Convex Methods in Control

Class Description:

Use of convex optimization in analysis and control of dynamical systems; robust control methods and the use of semidefinite programming; linear matrix inequalities, operator theory, model reduction, H-2 and H-infinity optimal control, S-procedure and integral quadratic constraints, structured singular value and mu-synthesis, and Markovian jump systems; applications in control design. Prerequisite: ECE 515.

TEXTBOOK: Dullerud, G. E. and F. Paganini, A Course in Robust Control Theory: A Convex Approach, 2000, New York: Springer-Verlag.


1. Introduction

2. Semidefinite programming and sum-of-squares

3. Gramians and balanced realizations

4. Model reduction

5. Stabilization theory

6. H2 synthesis

7. H-infinity synthesis

8. Decentralized and distributed control theory

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