Event-Triggered Filtering for Markovian Jump Systems with Time Delay and Nonlinear Perturbation

This paper considers the problem of event-triggered filtering for Markovian jump systems with time delay and nonlinear perturbation. The purpose is to design a filter such that the filtering error system is stochastically stable with a prescribed mixed passivity and H
_∞
performance level. The existence condition for such filters is proposed, and the filter coefficients are found by solving a set of linear matrix inequalities. The usefulness of the filter design method is demonstrated by a numerical example.