Fault detection filter design for switched systems with quantisation effects and packet dropout

Abstract

The problem of fault detection for switched systems with quantisation effects and packet dropout is presented in this study. A dynamic quantiser is introduced, which is composed of a dynamic scaling and a static quantiser. Since a novel switched system is modelled according to packet dropout, a switching strategy which combines average dwell time switching with event-driven switching is proposed. The systems performance and the relationship between the switching signal and the packet dropout rate are simultaneously developed. Furthermore, sufficient conditions for the existence of fault detection filters are given in the framework of linear matrix inequality, and the filter gains and the quantiser range are derived by a convex optimised method. Finally, two illustrative examples demonstrate the effectiveness of the proposed method.