Mode Estimation and Event-Triggered Filter of Switched Positive Systems With Switching Faults

This paper proposes the static and dynamic event-triggered filters of switched positive systems with switching faults, respectively. Under the switching fault, the active mode to be implemented is unknown. A static event-triggering condition is established by virtue of 1-norm inequality. An active mode estimation approach is presented based on the observer of the systems. Unknown active mode is identified by judging the minimum of a norm with respect to the error of the system output and the observer output. Thus, an asynchronous filter is designed for estimating the output when the active mode is identified. Moreover, a new dynamic event-triggered filter is proposed for the considered systems with switching faults. By using multiple copositive Lyapunov functions, linear programming, and matrix decomposition approaches, the observer and filter gains are designed, respectively. Finally, one illustrative example is given to verify the effectiveness of the obtained results.