Adaptive Sliding Mode Control of a Class of Fractional-Order Nonlinear Systems with Input Uncertainties

Abstract

This paper presents a sliding mode control (SMC) strategy for a class of fractional-order nonlinear systems (FONSs) with unknown external disturbances and input uncertainties. A fractional-order integral sliding surface is introduced, and then, an adaptive sliding mode controller that can compensate the input uncertainties without any explicit fault detection is designed. The proposed controller together with two integer-order adaptation laws can guarantee that all signals in the closed-loop keep bounded, and the state variables converge to an arbitrarily small region eventually. Finally, a constructive example is given to verify the feasibility and superiority of the proposed method.