Control Of Linear Systems With Regulation And Input Constraints (communications And Control Engineering)

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The issue of tracking a desired reference signal in the presence of external disturbances is a classic control problem that resides at the core of control engineering. This is referred to as the output regulation problem. In this book the output regulation problem is examined in depth. New, highly significant dimensions are added to the problem and all pertinent topics associated with it are discussed. These topics include:* Analysis and design of controllers for the output regulation problem subject to physical constraints on actuators such as amplitude and rate saturation* Incorporating transient performance requirements into output regulation problem formulation, thus creating an optimal framework for the output regulation problem* Uniting the output regulation problem formulation with other performance requirements of modern control theory such as H2 and H optimal and suboptimal performance criteria* Opening up a novel framework of output regulation problem formulation in order to enlarge the class of signals dealt with whilst at the same time adding new possibilitiesThis book is designed to meet the needs of a variety of readers including practising control engineers, graduate students, and researchers in control engineering.

E-Book Content

Control of linear systems with regulation and input constraints Ali Saberi School of Electrical Engineering and Computer Science Washington State University Pullman, WA 99164-2752 U.S.A. Fax: (509) 335-3818 E-mail: [email protected] Anton A. Stoorvogel Department of Mathematics and Computing Science Eindhoven Univ. of Technology P.O. Box 513, 5600 MB Eindhoven The Netherlands Fax: +31-40-2442489 E-mail: [email protected] Peddapullaiah Sannuti Department of Electrical and Computer Engineering Rutgers University 94 Brett Road, Piscataway, NJ 08854-8058, USA Fax: (732) 445-2820, E-mail: [email protected] July 15, 2003 ISBN-10: 1852331534 2 This book is dedicated to: Ann, Ingmar, and Ula (Ali Saberi) Suseela, Aruna, Mohan, Arun, and Pavan (Pedda Sannuti) vi Dedication Preface Ever since the beginnings of mankind eons ago, the desire to control, regulate, and track even under persistent disturbances has been a dominating influence in the development of human civilization. It is so also in the development of Automatic Control Theory and its Applications. The subject of output regulation occupies a central theme in all endeavors of theoreticians and practitioners alike. Yet there is no book or monograph that brings all essential modern developments on output regulation under a single cover. This book is intended to fill this void. Main topics that are brought together in this book include among others, classical exact output regulation of linear systems along with its different facets of well-posedness, internal model principle, and structural stability; output regulation of linear systems with input amplitude and rate saturation constraints; output regulation with transient performance specifications; performance issues (such as H2 , H∞ , L 1 and others) with an output regulation constraint; generalized output regulation in which the set of tracking signals as well as the set of disturbances that act on the plant are broadened beyond those that are common in classical output regulation, and thus permitting us to deal with exact as well as almost output regulation under a variety of controllers, etc. This book is designed to meet t