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In this paper, a class of second-order sliding mode controller is proposed for nonlinear uncertain systems. The finite-time stability of the nonlinear uncertain systems is achieved when the sliding mode is matched or unmatched. Compared with the previous second-order sliding mode controller, the parameter conditions of the controller are simple and can be given explicitly, and easy to obtain. Finally, the simulation results of dc motor system and dc–dc buck converter verify the effectiveness of the proposed controller in the case of matching and mismatching.

Match and mismatched second-order sliding mode finite-time control with simple parameter conditions and its applications