Event-based mixed ℋ ∞ and passive filtering for discrete singular stochastic systems

Abstract

ABSTRACT This work devotes to the event-based mixed and passive filter analysis and design problems of discrete-time singular stochastic network systems with Markovian jump parameters. Using the event-triggered communication approach, we first derive a network-induced delay discrete error singular stochastic network model. With the help of event-triggered method and stochastic Lyapunov function scheme, sufficient conditions are then established such that the resulting error stochastic model is regular, causal, stochastically mean-square stable with a mixed and passivity performance index. By applying slack matrix variables and filter transfer function equivalent method, an event-triggered mixed and passive filter is designed such that the resulting error singular stochastic network system satisfies certain mixed and passive filter performance index, and the derived conditions could be solved in terms of linear matrix inequality method. Finally, the effectiveness of the proposed methods is illustrated by a numerical example.