L₂-gain analysis and fault-tolerant control of nonlinear discrete time-delay saturated switched systems with memory state feedback

For nonlinear discrete time-delay saturated switched systems with memory feedback, the problem of actuator failure with external disturbances is studied. First, we propose a sufficient condition for the existence of a fault-tolerant state feedback law with memory by using the switched Lyapunov function (SLF) strategy, which ensures that the closed-loop system has a maximum tolerant disturbance capacity by solving the optimization problem. Then, the minimum upper bound on the [Formula: see text]-gain is estimated by solving the optimization problem. Finally, the reliability of the proposed method is verified by examples.