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

Authors: Zhang, L., Zhu, Y., Shi, P., Lu, Q.
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

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.

Number of Illustrations and Tables
23 illus., 49 in colour
Topics
Control
Complexity
Systems Theory, Control
Nonlinear Dynamics

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