Partially known transition rates-based resilient [formula omitted] impulsive filtering for implicit hybrid systems subject to multidimensional impulsive operator

Abstract

This work focuses on partially known transition rates-based resilient H∞ impulsive filtering for implicit hybrid systems subject to multidimensional impulsive operator. A novel timer-dependent Lyapunov–Krasovskii (L–K) functional is constructed, which can holistically capture the hybrid features with impulse instant, time delay and Markov jump modes information of implicit impulsive hybrid systems. The stochastic admissibility and H∞ performance criteria of residual systems are achieved by developing the underlying novel L–K functional. The robust fault detection issue is transformed into an H∞ filtering problem under two cases of fully- and partially-known transition rates, sufficient conditions for resilient H∞ impulsive fault detection filter are presented via linear matrix inequalities. The feasibility of the proposed resilient H∞ impulsive fault detection filter design method is proven by the simulation of DC motor device.