Robust exponential stabilization and L2-gain analysis for saturated switched nonlinear systems subject to actuator failure under asynchronous switching

For the nonlinear continuous-time switched system with input saturation under asynchronous switching action, the problem of actuator failure is investigated in the presence of external disturbances. Firstly, a sufficient condition for the robust exponential stabilization of system is obtained by using the minimum dwell-time method combining the piecewise Lyapunov function method. Secondly, a sufficient condition for the tolerance disturbances of the system is obtained by using the similar approach. Thirdly, the weighted L-2-gain is analysed. Then, we maximize the estimation of the domain of attraction for the closed-loop system by taking the shape of a set into consideration. Furthermore, the fault-tolerant state feedback controllers are designed, which aim at enlarging the estimation of domain of attraction for the closed-loop system and obtaining the maximum value of tolerance disturbance and the minimum upper bound on the weighted L-2-gain. Last but not least, we give a numerical example to verify the effectiveness of the proposed approach and compare the state responses curve under the action of the fault-tolerant and the standard controller.