Event-triggered fault detection for discrete-time linear systems

In this paper the problem of event-triggered fault detection filter for discrete-time linear systems is considered and a multi-objective formulation of the problem is presented based on H_∞, H_- and generalized H₂ performance criteria. For each performance index, sufficient conditions are presented based on linear matrix inequalities (LMIs) to design the fault detection observer. In order to reduce the conservativeness of the multi-objective problem, extended LMIs are used to eliminate the couplings of Lyapunov matrices with the system state space matrices. It is shown that through an event-triggered data transmission mechanism, the amount of data that is sent to the fault detection module is decreased dramatically. Simulation results corresponding to a remotely operated underwater vehicle (ROV) demonstrate and illustrate the effectiveness and capabilities of our proposed design methodology.