Non‐singular fixed‐time terminal sliding mode control of non‐linear systems

This study addresses a fixed‐time terminal sliding‐mode control methodology for a class of second‐order non‐linear systems in the presence of matched uncertainties and perturbations. A newly defined non‐singular terminal sliding surface is constructed and a guaranteed closed‐loop convergence time independent of initial states is derived based on the phase plane analysis and Lyapunov tools. The simulation results of a single inverted pendulum in the end are included to show the effectiveness of the proposed methodology.