L∞ performance analysis for singular Lipschitz systems with actuator saturation and actuator fault

The L_∞ performance analysis problem for a class of singular Lipschitz systems in the presence of both actuator saturation and actuator fault is studied in this paper. Different from the previous result where the designed controller is of saturation avoidance form, a saturation allowance criterion is established to ensure the closed-loop system regular and impulse-free as well as the existence and uniqueness of the solution under actuator saturation and fault. It is shown that no information about the initial state is needed in such a case. The maximal disturbances tolerance capability and the disturbance rejection capacity can be obtained within the framework of the optimization problems with convex constraints. Finally, a numerical example is provided to illustrate the effectiveness of the proposed approach.