Sufficient Conditions for Output Regulation on Metric and Banach Spaces - A Set-theoretic Approach
Yupeng Yao · TSpace (University of Toronto) · 2012
Output regulation problems are a class of problems that has high importance in systems control engineering. The solutions of such problems generally involve the design of an internal model based controller with error feedback structure that can also provide stability to the closed-loop system. Most of previous studies of such problems, however, are based on dynamical systems described by di erential equations for continuous-time and by di erence equations for discrete-time on the space of Rn. Few results have been obtained for dynamical systems with more abstract descriptions on sets with more general topologies. In this thesis, we use a set-theoretic approach with commutative diagrams to describe a dynamical system and its properties. Output regulation problems will also be de ned based on such dynamical systems. We will present su cient conditions for output regulation problems on complete metric spaces and Banach spaces.