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.
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