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

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 l 2 -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.§