A New Adaptive Robust Sliding Mode Control Approach for Nonlinear Singular Fractional-Order Systems

This article focuses on designing an adaptive sliding mode controller via state and output feedback for nonlinear singular fractional-order systems (SFOSs) with mismatched uncertainties. Firstly, the basis of extending dimension SFOS, a new integral surface is constructed. Through this special surface, descriptor system does not contain matrix E. Then, sufficient conditions that ensure stability motion are given by using linear inequality. Finally, control law based mechanism used to update terms designed SFOS satisfies reaching condition. The applicability proposed method illustrated practical example circuit two numerical examples.