Adaptive Backstepping Control of Uncertain Systems Nonsmooth Nonline
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Jing Zhou, Changyun Wen
Adaptive Backstepping Control of Uncertain Systems Nonsmooth Nonlinearities, Interactions or Time-Variations
ABC
Series Advisory Board F. Allgöwer, P. Fleming, P. Kokotovic, A.B. Kurzhanski, H. Kwakernaak, A. Rantzer, J.N. Tsitsiklis
Authors Jing Zhou Department of Engineering Cybernetics Faculty of Information Technology, Mathematics and Electrical Engineering Norwegian University of Science and Technology O.S. Bragstads plass 2d 7491 Trondheim, Norway Email: [email protected]
Changyun Wen School of Electrical and Electronic Engineering Nanyang Technological University Nanyang Avenue 639798 Singapore Email: [email protected]
ISBN 978-3-540-77806-6
e-ISBN 978-3-540-77807-3
DOI 10.1007/978-3-540-77807-3 Lecture Notes in Control and Information Sciences
ISSN 0170-8643
Library of Congress Control Number: 2007943052 c 2008
Springer-Verlag Berlin Heidelberg
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To Feng Zhou, Lingfang Ma, Xiaozhong Shen and Zhile Shen J. Zhou
To Xiu Zhou, Wen, Wendy, Qingyun and Qinghao C. Wen
Preface
This book presents new methodologies for the design and analysis of adaptive control systems based on the backstepping approach. Our emphasis is on dynamic uncertain systems with nonsmooth nonlinearities, such as backlash, deadzone, hysteresis and saturation, or time-varying parameters, or interactions. The backstepping approach, a recursive Lyapunov-based scheme, was proposed in the beginning of 1990s. With this method the construction of feedback control laws and Lyapunov functions is systematic, following a step-by-step algorithm. Backstepping can be used to relax the matching condition, which blocked the traditional Lyapunov-based design. A major advantage of backstepping is that it has the flexibility to avoid cancellations of useful nonlinearities and achieve regulation and tracking properties. The technique was comprehensively addressed by Krstic, Kanellakopoulos and Kokotovic in [1]. However, there is still no monograph available to address problems such as the handling of nonsmooth nonlinearities, time varying parameter
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