Overview
- Focuses on the methodology of the construction of nonsmooth Lyapunov functions, given in both finite- and infinite-dimensional settings
- Presents theoretical development, relying on up-to-date nonsmooth Lyapunov functions and supported by modern engineering applications
- Provides explicit applicability to feedback design and tuning of sliding mode controllers under unmatched external disturbances
Part of the book series: Communications and Control Engineering (CCE)
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Table of contents (8 chapters)
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Front Matter
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Introduction
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Front Matter
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Construction of Nonsmooth Lyapunov Functions
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Front Matter
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Lyapunov Redesign
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Front Matter
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Back Matter
Keywords
About this book
The first part of the book outlines the relevant fundamentals of benchmark models and mathematical basics. The second concentrates on theconstruction of nonsmooth Lyapunov functions. Part III covers design and applications material.
This book will benefit the academic research and graduate student interested in the mathematics of Lyapunov equations and variable-structure control, stability analysis and robust feedback design for discontinuous systems. It will also serve the practitioner working with applications of such systems. The reader should have some knowledge of dynamical systems theory, but no background in discontinuous systems is required—they are thoroughly introduced in both finite- and infinite-dimensional settings.
Authors and Affiliations
About the author
Yury Orlov received his M.S. degree from the Mechanical-Mathematical Faculty of Moscow State University, in 1979, the Ph.D. degree in Physics and Mathematics from the Institute of Control Science, Moscow, in 1984, and the Dr.Sc. degree also in Physics and Mathematics from Moscow Aviation Institute, in 1990. He started his scientific career in the Institute of Control Science in 1979 and since 1993, he has been a Full Professor of the Electronics and Telecommunication Department, Scientific Research and Advanced Studies Center of Ensenada, Mexico. During the scientific career he shared visiting/temporal professor positions in Moscow Aviation Institute, CESAME (Catholic University in Louvain, Belgium), Ecole Central de Lille (France), Robotics Laboratory of Versalle University (France), INRIA (Grenoble, France), IRCCYN (University of Nantes, France), University of Angers (France), University of Cagliari (Italy), University of Kent (UK), and Lund University (Sweden). The research interests include mathematical methods in control, analysis and synthesis of nonlinear, nonsmooth, discontinuous, time delay, distributed parameter systems, and applications to electromechanical systems. He has authored and co-authored about 250 journal and conference papers in the above areas as well as four monographs, including the recent ones called Discontinuous Systems-Lyapunov Analysis and Robust Synthesis under Uncertainty Conditions (Springer Communications & Control Engineering series, 2009) and Advanced H-infinity Control - Towards Nonsmooth Theory Applications (Birkhauser, Systems & Control: Foundations & Applications series, 2014).
Bibliographic Information
Book Title: Nonsmooth Lyapunov Analysis in Finite and Infinite Dimensions
Authors: Yury Orlov
Series Title: Communications and Control Engineering
DOI: https://doi.org/10.1007/978-3-030-37625-3
Publisher: Springer Cham
eBook Packages: Intelligent Technologies and Robotics, Intelligent Technologies and Robotics (R0)
Copyright Information: Springer Nature Switzerland AG 2020
Hardcover ISBN: 978-3-030-37624-6Published: 09 February 2020
Softcover ISBN: 978-3-030-37627-7Published: 09 February 2021
eBook ISBN: 978-3-030-37625-3Published: 08 February 2020
Series ISSN: 0178-5354
Series E-ISSN: 2197-7119
Edition Number: 1
Number of Pages: XIX, 340
Number of Illustrations: 43 b/w illustrations, 31 illustrations in colour
Topics: Control and Systems Theory, Systems Theory, Control, Robotics and Automation