Event-triggered H∞ filtering for discrete-time nonlinear stochastic systems with time-delay

This paper addresses the problem of event-triggered H-infinity filtering for a class of discrete-time nonlinear stochastic systems with delay and exogenous disturbances. The main objective of this study is to design an event-triggered H-infinity filter such that the filtering error system is robustly exponenttially mean-square stable with a given decay rate, and a prescribed H-infinity disturbance attenuation level is guaranteed. The event-based filter is constructed to reduce unnecessary data transmissions for some networked control systems with limited communication bandwidth, which only transmits and updates the measurement signal to the filter by the pre-defined event-triggered criteria. Based on stochastic differential equations theory and Lyapunov-Krasoviskii functional method, some sufficient conditions for the existence of H-infinity filter are obtained for the suggested system by employing linear matrix inequality technique. Finally, a numerical example is given to demonstrate the design procedure and the effectiveness of the proposed method.