An Event-Triggered Approach to Robust Recursive Filtering for Time-Delayed Systems with State Saturations

摘要

This paper is concerned with the event-triggered recursive filtering problem for a class of uncertain time-delayed systems with state saturations. In order to save energy, an event-triggered mechanism is utilized to decide whether certain measurement output should be transmitted to the filter or not. For the state-saturated systems, our aim is to design a filter such that the filtering error covariance is guaranteed to have an upper bound which is then minimized at each time step under the event-triggered mechanism. By means of the mathematical induction, an upper bound is first derived for the filtering error covariance by constructing two recursive matrix equations, and then such a bound is minimized by properly selecting the filter gain parameters. Finally, a numerical simulation is exploited to demonstrate the effectiveness of the proposed filtering algorithm.