Abstract
This paper focuses on H-infinity filtering problem for a class of discrete-time switched nonlinear system under both fast and slow switching property. Each nonlinear mode of the switched system is expressed by a set of linear systems in local regions via T-S fuzzy modeling. Based on mode-dependent and fuzzy-basis-dependent Lyapunov functions, the existence conditions for the desired full-order filters are derived such that the developed filtering error system is globally uniformly asymptotically stable with a given H-infinity performance index. In particular, the mode-dependent average dwell time switching scheme is proposed for slow switching to relax the restrictions of average dwell time. Finally, the validity and potential of the developed theoretical results are demonstrated by a numerical example. (C) 2014 Elsevier Ltd. All rights reserved.