Fixed-time Converging Terminal Surface with Non-singular Control Design for Second-order Systems

This paper presents a novel method for designing a non-singular control for second order systems. The proposed sliding surface is fixed time convergent. Hence during sliding, the convergence of the states are within fixed time. Moreover, the designed control ensures the reaching is established in fixed time as well. The robustness of the sliding mode control lies in sliding phase and reaching phase is sensitive to noise. The reaching time, in this case, doesn't depend on the system states rather than surface parameters. Therefore the reaching time can be pre-programmed according to the user requirement which is really advantageous. Stability of system is analysed. Finally, the proposed method is validated in simulations.