Weighted L₂‐Gain Analysis and Anti‐Windup Fault‐Tolerant Controller Design for Time‐Varying Delay Switched Systems With Actuator Saturation

In this paper, the problem of weighted L 2 ‐gain analysis and anti‐windup (AW) fault tolerant control for a class of time varying delay uncertain saturated switched systems with actuator faults and external disturbances is studied by using the minimum dwell time method. First, the maximum allowable disturbance capability of the closed‐loop system is obtained by combining a sector nonlinear condition, an augmented Lyapunov–Krasovskii functional, the Jensen integral inequalities and the free weighting matrix method. Then the weighted L 2 ‐gain of the closed‐loop system is analyzed based on this condition. Next by designing the AW fault tolerant controller, the maximum allowable disturbance capability of the closed‐loop system as well as the minimum weighted L 2 ‐gain upper bound is obtained. Finally, a numerical simulation example is given to verify the effectiveness of the proposed method in this paper.