Functional Observers for Dynamical Systems
The theory of linear functional observers, which is the subject of this book, is increasingly becoming a popular researched topic because of the many advantages it presents in state observation and control system design. This book presents recent informat
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Hieu Trinh and Tyrone Fernando
Functional Observers for Dynamical Systems
ABC
Series Advisory Board P. Fleming, P. Kokotovic, A.B. Kurzhanski, H. Kwakernaak, A. Rantzer, J.N. Tsitsiklis
Authors Dr. Hieu Trinh Deakin University School of Engineering Geelong VIC 3217 Australia E-mail: [email protected]
ISBN 978-3-642-24063-8
Dr. Tyrone Fernando University of Western Australia School of Electrical, Electronic and Computer Engineering 35 Stirling Highway Crawley, WA 6009 Australia E-mail: [email protected]
e-ISBN 978-3-642-24064-5
DOI 10.1007/978-3-642-24064-5 Lecture Notes in Control and Information Sciences
ISSN 0170-8643
Library of Congress Control Number: 2011938116 c 2012 Springer Berlin Heidelberg 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 to prosecution under the German Copyright Law. 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. Typeset & Cover Design: Scientific Publishing Services Pvt. Ltd., Chennai, India. Printed on acid-free paper 987654321 springer.com
Hieu Trinh dedicates the book to his wife Ngoc Anh and daughters Bao Han and Bao An for their love and support. Tyrone Fernando dedicates the book to his wife Yasmin and daughters Melissa and Rochelle for their love and support.
Preface
In many practical situations, the physical state of a system cannot be determined by direct observation. The problem of constructing the state vector and functions of the state vector is one of the important topics in Control Engineering. Since the re-emergence of the state-space methods to form a direct multivariable approach to linear control systems synthesis and design, a host of controllers now exist to meet the qualitative and quantitative criteria including system stability and optimality, and often the control signals are linear functions of the system states. Linear Functional Observers estimate linear functions of the state vector of a system without needing to estimate all the individual states and so greatly reduce the order and complexity of the designed observers. There has been a considerable amount of research carried out on the subject of functional state estimation for well over four decades ever since D.G. Luenberger introduced the concept in 1966. Due to their potential to reduce the complexity and cost for control systems, there has been a considerable interest in the
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