Event-triggered non-fragile H filtering of linear systems with a structure separated approach

Considering filter gains with additive interval variations, this study is devoted to the non-fragile H filtering of linear systems with an event-triggered transmission. To take into account the influence of these variations thoroughly, a structured vertex separator is adopted to alleviate the computation burden. Combining the Finsler lemma, conditions of designing the nonfragile filter to ensure the required H performance are formed by linear matrix inequalities. Compared to the norm-bounded method to handle the variations, the proposed method could provide less conservative results. Simulations are executed to show the validity of the proposed method.