Adaptive event‐triggered fault detection for Markov jump nonlinear systems with time delays and uncertain parameters

Abstract This article proposes a fault detection (FD) method for a class of Markov jump nonlinear systems with time delays and uncertain parameters. The FD problem is transformed into a filtering question by designing a FD filter that satisfies appropriate performance index. An adaptive event‐triggered mechanism is introduced to conserve network resources, and the impact of time‐varying and network‐induced delay on the system is fully considered. Then, stochastical stability and appropriated performance index of the residual system are guaranteed using the Lyapunov–Krasovskii functional theory, discrete Wirtinger inequality and extended reciprocally convex matrix inequality. Finally, a simulation example verifies the feasibility and effectiveness of the designed FD filter.