"ATTENTION: Development of the educational material on this website was supported by the National Science Foundation under Grants No. 1100376, 1151018, 1301851, 1301660, 1538374, 1739990, 1931270, 1935453."

PAUT54A1: MiniCourse on LMI and SOS Methods in Control (16.5 Credit Hours)

Textooks:

A Course in Robust Control Theory: A Convex Approach

G. E. Dullerud and F. PaganiniTaught in January, 2013 at the University Joseph Fourier / Grenoble, INP

Syllabus

Introduction: This class considers the basics of modern optimal control theory, with an emphasis on convex optimization and Linear Matrix Inequalities. We cover Mathematical Analysis, State-State Theory, Linear Systems Theory and H-infinity and H-2 optimal control using LMI formulations.

Lectures: A Convex Approach to Systems and Controls Theory

[Lecture 1] - Introduction to Optimal Control via LMIs (130 slides)

[Lecture 2] - Nonlinear Systems Theory (57 slides)

[Lecture 3] - Sum-of-Squares with Application to Robust Control and Nonlinear Analysis (68 slides)

[Lecture 4] - Advanced Topics and Application of SOS (56 slides)