Time-Dependent Switched Discrete-Time Linear Systems

Control and Filtering

Lixian Zhang, Yanzheng Zhu, Peng Shi , Qiugang Lu

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English

Springer International Publishing AG
30 March 2018

Cybernetics & systems theory; Probability & statistics; Chaos theory; Automatic control engineering

Series: Studies in Systems, Decision and Control

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.

By: Lixian Zhang, Yanzheng Zhu, Peng Shi, Qiugang Lu
Imprint: Springer International Publishing AG
Country of Publication: Switzerland
Edition: Softcover reprint of the original 1st ed. 2016
Volume: 53
Dimensions: Height: 235mm, Width: 155mm, Spine: 15mm
Weight: 454g
ISBN: 9783319804408
ISBN 10: 3319804405
Series: Studies in Systems, Decision and Control
Pages: 258
Publication Date: 30 March 2018
Audience: Professional and scholarly , Undergraduate
Format: Paperback
Publisher's Status: Active

Reviews for Time-Dependent Switched Discrete-Time Linear Systems: Control and Filtering

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. (Kurt Marti, zbMATH 1356.90003, 2017)