Studies in Systems, Decision and Control

Zhang, Lixian; Zhu, Yanzheng; Shi, Peng; Lu, Qiugang

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.

Details

Published by: Springer

Publication Date: 2016-02-01

Format: Hardcover

ISBN-13: 9783319288499

DOI: 10.1007/978-3-319-28850-5

Dimensions: 235cm x155cm

Pages: 258