Adaptive event-triggered fault-tolerant control for Markov jump nonlinear systems with time-varying delays and multiple faults

In this paper, a state feedback H infinity controller is developed to solve the fault-tolerant (FT) control problem of a class of discrete-time networked Markov jump nonlinear systems (MJNSs), which are affected by time-varying delays, external disturbances, actuator and sensor faults, and network-induced time delays, simultaneously. The mode-dependent adaptive event-triggered mechanism is introduced to capture as many valid features of the desired signal as possible while maximizing network resource savings. Then, based on the Lyapunov-Krasovskii (L-K) theory, sufficient conditions for the closed-loop system to be stochastically stable and to satisfy a specified H infinity performance index are obtained. Based on the above, the design methods of the FT controller are given in the form of linear matrix inequalities (LMIs). Finally, the effectiveness of the designed FT controller is verified by an example simulation.