Authors:
- Presents recent research on control and filtering in time dependent switched discrete-time linear systems
- Focuses on the basic control and filtering synthesis problems for discrete-time switched linear systems under four different typical switching signals
- Mainly considers four types of time-dependent switching signals: the arbitrary switching with Zeno phenomenon excluded, dwell time switching, average dwell time switching, and persistent dwell time switching
- Includes supplementary material: sn.pub/extras
Part of the book series: Studies in Systems, Decision and Control (SSDC, volume 53)
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Table of contents (7 chapters)
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Front Matter
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Back Matter
About this book
This book focuses on the basic control and filtering synthesis problems for discrete-time switched linear systems under time-dependent switching signals. Chapter 1, as an introduction of the book, gives the backgrounds and motivations of switched systems, the definitions of the typical time-dependent switching signals, the differences and links to other types of systems with hybrid characteristics and a literature review mainly on the control and filtering for the underlying systems. By summarizing the multiple Lyapunov-like functions (MLFs) approach in which different requirements on comparisons of Lyapunov function values at switching instants, a series of methodologies are developed for the issues on stability and stabilization, and l2-gain performance or tube-based robustness for l∞ disturbance, respectively, in Chapters 2 and 3. Chapters 4 and 5 are devoted to the control and filtering problems for the time-dependent switched linear systems with either polytopic uncertainties or measurable time-varying parameters in different sense of disturbances. The asynchronous switching problem, where there is time lag between the switching of the currently activated system mode and the controller/filter to be designed, is investigated in Chapter 6. The systems with various time delays under typical time-dependent switching signals are addressed in Chapter 7.
Reviews
“This book presents new developments on discrete-time systems with nondeterministic switching parameters. … the book includes recent and original results on control and filtering problems for time-dependent discrete-time switched systems. The solutions of the investigated problems are presented in the form suitable for numerical implementation. The theoretical results are validated by examples from various engineering areas of interest.” (Adrian-Mihail Stoica, Mathematical Reviews, January, 2017)
“The present book is confined to discrete-time linear switched control systems having linear state-output functions. … Each chapter is equipped with several references. Moreover, the book contains many figures, tables and examples. The monograph can be recommended for courses in discrete-time linear switched systems.” (KurtMarti, zbMATH 1356.90003, 2017)
Authors and Affiliations
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School of Astronautics, Harbin Institute of Technology, Harbin, China
Lixian Zhang
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Harbin Institute of Technology, School of Astronautics, Harbin, China
Yanzheng Zhu
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School of Electrical and Electronic Engg, The University of Adelaide, Adelaide, Australia
Peng Shi
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Dept of Chemical and Biological Engi, The University of British Columbia, Vancouver, Canada
Qiugang Lu
Bibliographic Information
Book Title: Time-Dependent Switched Discrete-Time Linear Systems: Control and Filtering
Authors: Lixian Zhang, Yanzheng Zhu, Peng Shi, Qiugang Lu
Series Title: Studies in Systems, Decision and Control
DOI: https://doi.org/10.1007/978-3-319-28850-5
Publisher: Springer Cham
eBook Packages: Engineering, Engineering (R0)
Copyright Information: Springer International Publishing Switzerland 2016
Hardcover ISBN: 978-3-319-28849-9Published: 01 February 2016
Softcover ISBN: 978-3-319-80440-8Published: 30 March 2018
eBook ISBN: 978-3-319-28850-5Published: 19 January 2016
Series ISSN: 2198-4182
Series E-ISSN: 2198-4190
Edition Number: 1
Number of Pages: XIV, 258
Number of Illustrations: 49 b/w illustrations, 23 illustrations in colour
Topics: Control and Systems Theory, Complexity, Systems Theory, Control, Applications of Nonlinear Dynamics and Chaos Theory