Low-cost predefined-time convergent super-twisting algorithm

This paper presents a modified super-twisting control algorithm that drives the state of a scalar system at the origin for a predefined-time with a low control cost. The designed control law is used for stabilizing the state of a scalar permanent-magnet synchronous motor system in three different cases: disturbance-free, with rate-bounded disturbances, and with both rate-bounded deterministic disturbances and stochastic noises. The performance of the proposed algorithm is validated by numerical simulations, and comparisons to other predefined-time convergent control laws are provided.