Super-twisting algorithm for second-order sliding mode control

In this paper, a prescribed-time super-twisting algorithm of second order sliding mode control is proposed, which makes the convergence time independent of the initial state and other parameters of the system. The designed SOSM is insensitive to external interference and has strong robustness. Then, the sliding mode controller of the first-order system is designed by using the algorithm, and its Lyapunov stability is proved. Finally, the effectiveness of the control method is verified by a simulation example.