Control of Bilinear Distributed Parameter Systems
In recent years, considerable interest has been focussed on a special class of nonlinear dynamical systems, usually called bilinear systems. They are linear in state and linear in control, but not jointly linear in both. Hence, products of state and contr
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Topics in Identification and Distributed Parameter Systems
Advances in Control Systems and Signal Processing Editor: Irmfried Hartmann Volume 1 Volume 1: Erhard BOhler and Dieter Franke Topics in Identification and Distributed Parameter Systems
Erhard BOhler and Dieter Franke
Topics in Identification and Distributed Parameter Systems With 42 Figures
Springer Fachmedien Wiesbaden GmbH
CIP-Kurztitelaufnahme der Deutschen Bibliothek Biihler, Erhard: Topics in identification and distributed parameter systems/Erhard Biihler and Dieter Franke. (Advances in control systems and signal processing; VoI. 1) ISBN 978-3-528-08469-1 ISBN 978-3-663-13904-1 (eBook) DOI 10.1007/978-3-663-13904-1 NE: Franke, Dieter:
Editor: Dr.-Ing. 1. Hartmann o. Prof. fUr Regelungstechnik und Systemdynamik Technische Universităt Berlin Hardenbergstrlillle 29c 1000 Berlin 12, West Germany Authors: Dr.-Ing. E. Btihler Spiegelberg 1 7759 Immenstead, West Germany
Dr.-Ing. D. Franke o. Prof. ftir Regelungstechnik Hochschule der Bundeswehr Hamburg Hoistenhofweg 85 2000 Hamburg 70, West Germany
Ali rights reserved © Springer Fachmedien Wiesbaden 1980
Originally published by Friedr. Vieweg & Sohn Verlagsgesellschaft mbH, Braunschweig in 1980 No part of this publication may be reproduced, stored in a retrieval system or transmitted in any form or by any means, electronic, mechanical, photocopying, recording or otherwise, without prior permission of the copyright holder.
ISBN 978-3-528-08469-1
Preface This bookseries aimes to report new developments on parts of control systems and signal processing at a high level, without a restriction in the size of contribution, if (it is) necessary. Basic knowledge is needed. Each volume deals with a special theme. The fol1owing types of contributions will be taken into consideration: coherent representation on single topics with new results, new improved expositions or new applications in a known field of control systems and signal processing, practical applications of theoretic methods, - a survey of published articles with deep insight. Seminar work outs or themes from meetings with exeptional interest could belong to this series, if they satisfy the conditions. The manuscript is reproduced by photographic process and therefore it must be typed with extreme care. The author can get instruction. The manuscript is sent to Prof. Dr. 1. Hartmann, Institut fUr Regelungstechnik, Technische Universităt Berlin, HardenbergstraBe 29c, 1000 Berlin 12, West Germany.
Irm[ried Hartmann
Berlin, January 1980
Contents
Contribution I
Control of bilinear distributed parameter systems Dieter Franke Notations....... '. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
4
1 Introduction..........................................
6
2 Mathematical models of bilinear distributed parameter processes . . . . . .. 2.1 Processes with parametric control action 2.2 Systems with a moving boundary - a special class of "nearly linear" systems. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
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