Control Systems Theory and Applications for Linear Repetitive Processes
After motivating examples, this monograph gives substantial new results on the analysis and control of linear repetitive processes. These include further applications of the abstract model based stability theory which, in particular, shows the critical im
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Eric Rogers, Krzysztof Galkowski, David H. Owens
Control Systems Theory and Applications for Linear Repetitive Processes
ABC
Series Advisory Board F. Allgöwer, P. Fleming, P. Kokotovic, A.B. Kurzhanski, H. Kwakernaak, A. Rantzer, J.N. Tsitsiklis
Authors Eric Rogers
David H. Owens
School of Electronics and Computer Science University of Southampton Southampton SO17 1BJ United Kingdom E-mail: [email protected]
Department of Automatic Control and Systems Engineering University of Sheffield Mappin Street S1 3JD Sheffield United Kingdom
Krzysztof Galkowski Institute of Control and Computation Engineering The University of Zielona Gora Podgrna Str. 50 65-246 Zielona Gora Poland
Library of Congress Control Number: 2006935983 ISSN print edition: 0170-8643 ISSN electronic edition: 1610-7411 ISBN-10 3-540-42663-9 Springer Berlin Heidelberg New York ISBN-13 978-3-540-42663-9 Springer Berlin Heidelberg New York This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilm or in any other way, and storage in data banks. Duplication of this publication or parts thereof is permitted only under the provisions of the German Copyright Law of September 9, 1965, in its current version, and permission for use must always be obtained from Springer. Violations are liable for prosecution under the German Copyright Law. Springer is a part of Springer Science+Business Media springer.com c Springer-Verlag Berlin Heidelberg 2007 The use of general descriptive names, registered names, trademarks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. Typesetting: by the authors and techbooks using a Springer LATEX macro package Cover design: design & production GmbH, Heidelberg Printed on acid-free paper
SPIN: 10853285
89/techbooks
543210
Preface
Repetitive processes, also termed multipass processes in the early literature, are characterized by a series of sweeps, termed passes, through a set of dynamics where the duration, or length, of each pass is finite. On each pass an output, or pass profile, is produced which acts as a forcing function on, and hence contributes to, the dynamics of the next pass profile. This so-called unit memory property is a special case of the more general situation where it is the previous M passes which contribute to the dynamics of the current one. The positive integer M is termed the memory length and such processes are simply termed non-unit memory. The concept of a repetitive process was first introduced in the early 1970’s as a result of work in The University of Sheffield, UK on the modelling and control of long-wall coal cutting and metal rolling operations. In these applications, productive work is undertaken by a series of passes through a set of dynamics defined over a finite
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