Control of Uncertain Sampled-Data Systems

My main goal in writing this monograph is to provide a detailed treatment of uncertainty analysis for sampled-data systems in the context of sys­ tems control theory. Here, sampled-data system refers to the hybrid sys­ tem formed when continuous time and discrete time systems are intercon­ nected; by uncertainty analysis I mean achievable performance in the pres­ ence of worst -case uncertainty and disturbances. The focus of the book is sampled-data systems; however the approach presented is applicable to both standard and sampled-data systems. The past few years has seen a large surge in research activity centered around creating systematic methods for sampled-data design. The aim of this activity has been to deepen and broaden the, by now, sophisticated viewpoint developed for design of purely continuous time or discrete time systems (e.g. J{oo or -I!l optimal synthesis, J1 theory) so that it can be ap­ plied to the design of sampled-data systems. This research effort has been largely successful, producing both interesting new mathematical tools for control theory, and new methodologies for practical engineering design. Analysis of structured uncertainty is an important objective in control design, because it is a flexible and non-conservative way of analyzing sys­ tem performance, which is suitable in many engineering design scenarios.

The author's goal in this book is to provide a detailed treatment of uncertainty analysis for sampled-data hybrid systems in the context of robust control theory.