Lecture Notes in Control and Information Sciences

Nonsmooth Nonlinearities, Interactions or Time-Variations

By: Jing Zhou, Changyun Wen

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Paperback | 7 February 2008

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262 Pages

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23.5 x 15.88 x 1.91

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This book presents new methodologies for the design and analysis of adaptive control systems based on the backstepping approach. Our emphasis is on - namic uncertain systems with nonsmooth nonlinearities,such as backlash,de- zone, hysteresis and saturation, or time-varying parameters, or interactions. The backstepping approach, a recursive Lyapunov-based scheme, was p- posed in the beginning of 1990s. With this method the construction of feedback controllawsandLyapunovfunctions issystematic,followingastep-by-stepal- rithm. 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 ?exibility 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 n- smooth nonlinearities, time varying parameters and system interactions using this approach. Nonsmooth nonlinearities such as dead-zone, backlash, hysteresis and satu- tion are common in industrial control systems, such as mechanical, hydraulic, biomedical, piezoelectric, and physical systems. Such nonlinearities are usually poorlyknownandmayvarywithtime,andthey oftenlimitsystemperformance.

Industry Reviews

From the reviews:

"'The book is helpful to learn and understand the fundamental backstepping schemes'. It can be used as an additional textbook on adaptive control for advanced students. Control researchers, especially those working in adaptive nonlinear control, will also widely benefit from this book." (Jacek Kabzinski, Mathematical Reviews, Issue 2009 b)

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