Modeling and Identification of Linear Parameter-Varying Systems

Through the past 20 years, the framework of Linear Parameter-Varying (LPV) systems has become a promising system theoretical approach to handle the control of mildly nonlinear and especially position dependent systems which are common in mechatronic appli

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Roland Tóth

Modeling and Identification of Linear Parameter-Varying Systems

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Series Advisory Board P. Fleming, P. Kokotovic, A.B. Kurzhanski, H. Kwakernaak, A. Rantzer, J.N. Tsitsiklis

Author Dr. Roland Tóth Delft University of Technology Faculty of Mechanical, Maritime and Materials Engineering Delft Center for Systems and Control Mekelweg 2 2628 CD, Delft The Netherlands Co-Editors Dr. Peter S.C. Heuberger Delft University of Technology Faculty of Mechanical, Maritime and Materials Engineering Delft Center for Systems and Control Mekelweg 2 2628 CD, Delft The Netherlands

Prof. Dr. Paul M.J. Van den Hof Delft University of Technology Faculty of Mechanical, Maritime and Materials Engineering Delft Center for Systems and Control Mekelweg 2 2628 CD, Delft The Netherlands

ISBN 978-3-642-13811-9

e-ISBN 978-3-642-13812-6

DOI 10.1007/978-3-642-13812-6 Lecture Notes in Control and Information Sciences

ISSN 0170-8643

Library of Congress Control Number: 2010928272 c 

2010 Springer-Verlag 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 for 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 in acid-free paper 543210 springer.com

I dedicate this book to my beloved wife Andrea, my “great” son S´ andor and my little daughter Lujza.

Preface

Through the past 20 years, the framework of Linear Parameter-Varying (LPV) systems has become a promising system theoretical approach to handle the control of mildly nonlinear and especially position dependent systems which are common in mechatronic applications and in the process industry. The birth of this system class was initiated by the need of engineers to achieve better performance for nonlinear and time-varying dynamics, common in many industrial applications, than what the classical framework of Linear Time-Invariant (LTI) control can provide. However, it was also a primary goal to preserve simplicity and “re-use” the powerful LTI results by extending them to the LPV case. The progress continued according to this philosophy and LPV control has become a well established field with many promising applications. Unfortunately, modeling of LPV systems, especially based on measured data (which is called system identification) has seen