EECE 6220 - Robust Control Theory (3)

Introduction to the theory and techniques of Robust Control. The three distinct and major problem areas to be covered are the parametric approach, the H• theory and the L1 theory. As linear system basics, topics include stability, performance, robustness, stable factorization and YJBK parameterization, and approximation of linear systems. In the parametric approach, topics include Kharitonov’s theorem, parametric stability margins, polytopic systems, generalized Kharitonov’s theorem, edge theorem, mapping theorem as well as mixed uncertainty problems. In H• theory, topics include small gain theorem, Nevanlinna-Plok interpolations and factorization theory, various H• control problems, and DGKF solution. H•/H2 optimal control, and L1 optimal control problem are also covered in this course.