Time-Dependent Switched Discrete-Time Linear Systems: Control and Filtering: 53 (Studies in Systems, Decision and Control, 53) - Softcover

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

Softcover

ISBN 10: 3319804405 ISBN 13: 9783319804408

Publisher: Springer, 2018

Synopsis

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.

About this title

From the Back Cover

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.

Edition details

• Publisher: Springer
• Publication date: 2018
• Language: English
• ISBN 10: 3319804405
• ISBN 13: 9783319804408
• Binding: Paperback
• Number of pages: 272