Fixed-time Switching Sliding Mode Control for Second-order Nonlinear Systems

This paper presents a novel fixed-time sliding mode controller for second-order nonlinear systems with matched disturbance. To satisfy the prerequisite of fixed-time stability and simplify the design, a new continuous switching sliding surface is proposed, which ensure that the state of system will reach the equilibrium point in a fixed-time after reaching the sliding surface. Based on the feature of the surface, a simple sliding mode controller is designed by using exponential sliding mode variable so that the chattering phenomenon is effectively improved and the global fixed-time stability will be achieved. Simulation results show the excellent performance of the proposed controller.