Event-triggered H∞ filtering for discrete-time systems over unreliable networks with package dropouts

This paper considers the event-triggered H∞ filtering problem for discrete-time linear systems subject to package dropouts. The system measurement output is quantized before transmitted through the communication network with limited capacity. The event-triggered transmission mechanism is proposed and Bernoulli process is utilized to describe the package dropouts. A new sufficient condition is obtained such that the resulted error system is mean square exponentially stable and the filtering error satisfies the prescribed H∞ performance. Then, co-design algorithm for the parameters of filter and event-triggered condition is presented by means of linear matrix inequality approach. Moreover, the minimum attenuation level bound can be obtained by solving a convex optimization problem. Numerical simulations show the effectiveness and less conservativeness of the proposed approach.