Delay-Dependent Exponential H ∞ Criteria for Discrete-Time Switched Delay Systems

Abstract

This chapter is concerned with the problems of delay-dependent exponential H ∞ filtering and model reduction for discrete-time switched delay systems under average dwell time (ADT) switching signals. First, by introducing a proper factor to construct a novel Lyapunov-Krasovskii function and using ADT approach, sufficient conditions for the solvability of exponential H ∞ filtering problem, dependent on the upper and lower bounds of the time-varying delay, are obtained in terms of linear matrix inequalities (LMIs). The second objective is to construct a reduced-order model, which ensures that the resulting error system under switching signal with ADT is exponentially stable with an H ∞ norm bound. A weighting factor α is introduced to present sufficient conditions on the existence of reduced-order model in terms of strict LMIs, which lessen the computation complexity. Two numerical examples are presented to demonstrate the effectiveness of the developed results.KeywordsLyapunov FunctionModel ReductionSwitching SignalAverage Dwell TimeAverage Dwell Time ApproachThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.