FlexRay protocol based distributed nonfragile dissipative filtering of state-saturated switched stochastic systems

This article concentrates on the finite-time nonfragile distributed dissipative filtering issue for time-varying switched stochastic systems (SSSs) with state saturations over wireless sensor networks based on FlexRay communication protocol. To effectively deal with the resource restriction problem of the public communication network and energy consumption of the sensor nodes, the FlexRay communication protocol, including the Round-Robin protocol (RRP) and weighted try-once-discard protocol (WTODP), is introduced to schedule the data transmission of each sensor node. In addition, the phenomenon of randomly occurring gain variations (ROGVs) of filter parameters, characterised by the Bernoulli distributed random variables, is taken into consideration for the implementation of desired filter. A sufficient condition under the average dwell time (ADT) restriction is presented to guarantee the mean-square exponential stability and stochastically dissipative property of the augmented filtering error system (AFES) in a finite horizon. Moreover, the gains of the dissipativity-based filters are achieved by solving recursive linear matrix inequalities (RLMIs). Finally, an illustrative example is provided to exhibit the effectiveness of the designed filter.