Event-triggered L2 - L∞ filtering for asynchronous switched LPV systems with mode-dependent average dwell time

In this paper, event-triggered L-2 - L-infinity filtering problem for a class of switched linear parameter varying systems with both mode-dependent average dwell time and asynchronous switching is concerned. A new sampled delay-dependent and parameterised filtering error switched system is constructed on the basis of event-triggered communication scheme. Results on exponential stability with a prescribed L-2 - L-infinity performance are proposed by exploiting the parameter-dependent Lyapunov-Krasovskii functional and the mode-dependent average dwell time method, which is less rigid with requirement of minimal average dwell time of the switching signal. Furthermore, the gains of the parameter-dependent filter with mismatched system mode are solved in terms of linear matrix inequalities, meanwhile, the parallel results with the matched case are also obtained. Finally, a numerical example is provided to show the effectiveness and potential of the proposed design scheme.

Automated summary

This paper addresses the event-triggered L-2 - L-infinity filtering problem for a class of switched linear parameter varying systems, proposing a new sampled delay-dependent and parameterised filtering error switched system. Results on exponential stability and prescribed L-2 - L-infinity performance are achieved by utilizing Lyapunov-Krasovskii functional and mode-dependent average dwell time method. The gains of the parameter-dependent filter with mismatched system mode are solved using linear matrix inequalities, with parallel results for the matched case also obtained.