Control of Complex Systems Structural Constraints and Uncertaint
Control of Complex Systems: Structural Constraints and Uncertainty focuses on control design under information structure constraints, with a particular emphasis on large-scale systems. The complexity of such systems poses serious computational challenges
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Series Editors
E.D. Sontag • M. Thoma J.H. van Schuppen
•
A. Isidori
For a complete list of books published in this series please visit: http://www.springer.com/series/61
Aleksandar I. Zeˇcevi´c Dragoslav D. Šiljak •
Control of Complex Systems Structural Constraints and Uncertainty
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Aleksandar I. Zeˇcevi´c Santa Clara University Dept. Electrical Engineering 500 EI Camino Real Santa Clara CA 95053 USA [email protected]
Dragoslav D. Šiljak Santa Clara University Dept. Electrical Engineering 500 EI Camino Real Santa Clara CA 95053 USA [email protected]
ISSN 0178-5354 ISBN 978-1-4419-1215-2 e-ISBN 978-1-4419-1216-9 DOI 10.1007/978-1-4419-1216-9 Springer New York Dordrecht Heidelberg London Library of Congress Control Number: 2009944065 c Springer Science+Business Media, LLC 2010 All rights reserved. This work may not be translated or copied in whole or in part without the written permission of the publisher (Springer Science+Business Media, LLC, 233 Spring Street, New York, NY 10013, USA), except for brief excerpts in connection with reviews or scholarly analysis. Use in connection with any form of information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed is forbidden. The use in this publication of trade names, trademarks, service marks, and similar terms, even if they are not identified as such, is not to be taken as an expression of opinion as to whether or not they are subject to proprietary rights. Printed on acid-free paper Springer is part of Springer Science+Business Media (www.springer.com)
Contents Preface 1 Decompositions of Large-Scale Systems 1.1 Epsilon Decompositions . . . . . . . . . . . 1.2 The Decomposition Algorithm . . . . . . . 1.3 Decompositions of Nonlinear Systems . . . 1.4 Balanced BBD Decompositions . . . . . . . 1.5 Input–Output Constrained Decompositions Bibliography . . . . . . . . . . . . . . . . . . . .
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2 Information Structure Constraints 2.1 Linear Matrix Inequalities: An Overview . . . . . . . . . . . . 2.2 Decentralized and BBD State Feedback . . . . . . . . . . . . 2.3 Turbine Governor Control . . . . . . . . . . . . . . . . . . . . 2.4 Low-Rank Corrections . . . . . . . . . . . . . . . . . . . . . . 2.4.1 Systems Where Decentralized LMI Design is Infeasible 2.4.2 Systems Where Decentralized LMI Design is Feasible . 2.4.3 Implementation Issues . . . . . . . . . . . . . . . . . . 2.5 Low-Rank Corrections in Vehicle Control . . . . . . . . . . . 2.6 Overlapping Control . . . . . . . . . . . . . . . . . . . . . . . 2.6.1 Overlapping Control Design for Linear Systems . . . . 2.6.2 Overlapping Control of Nonlinear Systems . . . . . . . Bibliography . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
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3 Algebraic Constraints on the Gai
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