Event-Triggered Fault Detection Filter of Switched Positive Systems

This paper investigates the problem of event-triggered fault detection for switched positive systems. An event-triggering scheme based 1-norm inequality is established to reduce the transmission frequency of filter signal. Using multiple copositive Lyapunov functions, a fault detection filter is proposed under the event-triggering scheme to generate the residual signal and detect system faults. Under the designed filter, an event-based residual system is positive and stable and satisfies ℓ
1
-gain performance. All presented conditions can be formulated into linear programming. Finally, two illustrative examples are given to verify the effectiveness of the obtained results.