Robust Hybrid Time and Time Varying System Design

摘要

This final report summarizes a three year project in the area of robust H toinfinity control, based mostly on the time domain / game theoretic approach, previously developed by the author. Areas covered included: (1) A framework for sampled data control, including optimization of sample and hold components; (2) lnvestigatirg fundamental ties between the time and the frequency domain / Hardy space approaches, including control based proofs and variants of the Nehari and Beurling Lax theorems, factorization techniques, dichotomy, etc.; (3) Robust identification and control of periodic and closed to periodic systems; (4) Computationally feasible Robust control of delay systems; (5) Robust system identification; (6) H to infinity based design for frequency varied passivity; and (7) Nliscl. The research resulted both in novel design methods for robust control and in solidifying the theoretical basis of this methodology.