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

Considering filter gains with additive interval variations, this study is devoted to the non‐fragile 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 non‐fragile filter to ensure the required 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.