Full-Order and Reduced-Order H∞ Filtering Syntheses of Uncertain Switched Systems via Event-Triggered Strategy

Abstract

Via event-triggered strategy, full-order and reduced-order $H_{\infty }$ filtering syntheses are addressed for uncertain switched systems in the paper. Norm-bounded uncertainty is considered in each switched subsystem. An event-triggered strategy is primarily specified to determine whether the information of an uncertain switched system is transmitted or not. Full-order and reduced-order $H_{\infty }$ filters are considered on account of the outputs of the proposed event-triggered strategy. By the merging switching signal technique, it can be established as a switched filtering error system with uncertain switched systems. Some sufficient conditions are subsequently presented to ensure exponential stability (ES) with weighted $H_{\infty }$ performance for the filtering error system. Moreover, some devised methods of full-order and reduced-order $H_{\infty }$ filters are also given, and therefore $H_{\infty }$ filters with different orders can be selected according to different needs in practical applications. A lower bound more than zero is found to exclude Zeno behavior on the event-triggered intervals. Finally, the validity and feasibility of this study are illustrated by a practical example.