Dynamic event-triggered communication based fault detection for networked singularly perturbed systems*

Abstract

This paper investigates the problem of fault detection (FD) for networked singularly perturbed systems under the dynamic event-triggered communication. To save the network resources, a dynamic event-triggered communication mechanism (DETCM) is proposed, which contains some existing triggering mechanisms as special cases. Our aim is to design a fault detection filter (FDF) under such a DETCM, which ensures that the resulting filtering error dynamics of FD is asymptotically stable and satisfies an $H_{\\infty}$ performance requirement. By constructing a Lyapunov function dependent on both the singular perturbation parameter (SPP) and flexible variable of the DETCM, a sufficient condition is obtained in terms of linear matrix inequalities (LMIs), which ensures the existence of the desired FDF. When these LMIs have feasible solutions, the parameters of the FDF are explicitly given and the admissible upper and lower bounds of the SPP are evaluated. A numerical example is provided to demonstrate the effectiveness of the design method of the FDF.