A non-uniform event-triggered distributed filtering scheme for discrete-time nonlinear systems over wireless sensor networks

This paper investigates the distributed set-membership filtering problem for discrete-time nonlinear systems subject to one-sided Lipschitz (OSL) and quadratic inner-boundedness (QIB) constraints over wireless sensor networks (WSNs). The investigation takes into account both system and sensor nonlinearities under unknown but bounded (UBB) perturbations. Moreover, a novel non-uniform event-triggering condition is introduced to achieve resource conservation while maintaining filter accuracy. The proposed triggering condition is more general and can be customized as per design requirements. Furthermore, a recursive condition for set-membership filter design is derived that guarantees the existence of optimal bounding ellipsoids for true system states. In contrast to the existing methods, the proposed approach considers set-membership filtering for discrete-time systems subject to OSL system and sensor nonlinearities over a WSN and deals with non-uniform amplitude-based triggering. Finally, a numerical example is presented to validate filter’s efficacy.