Fixed‐time adaptive event‐triggered fault‐tolerant control of nonlinear systems with actuator failures

The problem of fixed‐time adaptive event‐triggered fault‐tolerant control (FTC) is investigated for a class of nonlinear systems with actuator failures in this paper. Firstly, by utilizing back‐stepping algorithm and the fixed‐time stable criterion, a novel fixed‐time adaptive fault‐tolerant controller and parameter updated laws in forms of nonlinear differential equations are developed to counteract actuator faults and parameter uncertainties in fixed time. Then, the event‐triggered mechanism based on the relative threshold method is applied to the proposed control scheme to save network resources. Furthermore, by the Lyapunov stability theory, it can be proven that all the closed‐loop signals of system remain bounded, and the tracking error converges into a small neighborhood of the origin within fixed time interval. Finally, the simulation examples are shown to verify the feasibility and efficiency of the presented strategy.