Event-Triggered Filter of Discrete-Time Switched Positive Systems With Switched Faults†

This paper proposes the switched fault filter of switched positive systems by virtue of event-triggered mechanism. First, the 1-norm inequality is used to construct a static event-triggering condition. An active mode estimation approach is presented in terms of the observer of the systems. Unknown active mode is identified by judging the minimum of an error norm. An asynchronous filter is proposed to estimate the output. Then, a dynamic event-triggered filter is proposed for the systems with switching faults. Linear programming and matrix decomposition approaches are employed to compute the observer and filter gains. Finally, one illustrative example is provided to verify the effectiveness of the obtained results.