Novel sliding surface design for nonlinear singular systems

This paper proposes a novel nonlinear sliding surface and investigates the sliding mode control problem for nonlinear singular systems. Because of the existence of nonlinear dynamics, the Differential Mean Value Theorem is used to transform the nonlinear singular system into a singular linear parameter varying system. Since the robustness to the uncertainties of the sliding mode, we can deal with the singular linear parameter varying system by applying the sliding mode control strategy. In some published papers people always design the sliding surface based on algebraic type or integral type, however, in this paper we propose a novel nonlinear sliding surface and the sliding surface contains a matrix exponent part, which can be used in both singular system and normal system. Finally, four examples are shown to illustrate the effectiveness and the advantages of the proposed method.