Non-Fragile Distributed Fault Detection for Nonlinear Delayed Markov Jump Systems Under Weighted Try-Once-Discard Protocol

In this paper, the non-fragile distributed fault detection (FD) problem is discussed for delayed Markov jump systems over sensor networks under the weighted try-once-discard protocol, where the randomly switching nonlinearities and the randomly occurring faults are considered. Specifically, a non-fragile distributed FD filter is constructed, and the compact residual dynamic system is obtained in terms of augmentation technique. Subsequently, by applying the Lyapunov stability theory and Wirtinger inequality, sufficient conditions are derived to ensure that the nominal system corresponding to residual dynamic system is stochastically stable and stochastically strictly \((Q_1,Q_2,Q_3)\) $(Q_1,Q_2,Q_3)$ - \(\gamma \) $\gamma$ dissipative. On this basis, the explicit expressions of FD filter matrices are obtained by means of the linear matrix inequality method. At last, a simulation is provided to demonstrate the effectiveness of the proposed distributed FD scheme.