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Time-dependent switched discrete-time linear systems [electronic resource] : control and filtering / Lixian Zhang, Yanzheng Zhu, Peng Shi, Qiugang Lu.

9783319288505 (electronic book)
3319288504 (electronic book)
9783319288499

[Cham] : Springer, [2016]

©2016

English

1 online resource : illustrations.

10.1007/978-3-319-28850-5 doi

QA402.3

003/.83

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.

Includes bibliographical references and index.

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Online resource; title from PDF title page (viewed January 27, 2016).

Studies in systems, decision and control ; v. 53.

Print version: 9783319288499

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