A fast nonsingular terminal mode( NFTSM) control method with the improved reaching law is proposed for second order nonlinear system with uncertainly. An improved NFTSM function and the improved reaching law are proposed to shorten the convergence rate of reaching the sliding surface. Non-singular fast terminal sliding mode control scheme based on improved power reaching law is designed in this paper. It is proved that the reaching time is smaller the traditional NTSM. Simulation results show the effectiven...