Fractional-Order Sliding-Mode Control of Uncertain Nonlinear systems

摘要

In this paper, a scheme for designing a fractional-order surface sliding-mode controller for a class of uncertain nonlinear systems is presented. A new fractional-order switching surface is designed guaranteeing the reachability condition. This control law is established to obtain a sliding-mode controller capable of deriving the state trajectories onto the fractional-order switching surface and ensures the t-α asymptotical stability on the sliding surface. Finally, an illustrative example is given to demonstrate the effectiveness of our method.