Research on adaptive non-singular fast terminal sliding mode control based on variable exponential power reaching law in manipulators

Abstract

Aiming at the manipulator control system is susceptible to model parameter uncertainty and external disturbance. In this article, an adaptive non-singular fast terminal sliding mode control based on variable exponential power reaching law is proposed. First, due to the slow convergence speed and large chattering of the traditional reaching law, the variable exponential power reaching law is designed in this article. It can adaptively change the reached speed according to the system state, improve the accuracy of the control system and reduce chattering. Second, compared to the slow convergence speed of traditional sliding mode surfaces, this article uses non-singular fast terminal sliding mode surfaces to speed up the system error convergence speed. At the same time, in view of the problem that the disturbance has an uncertain upper bound in the actual problem, the adaptive law is used to estimate the uncertain upper bound of the system disturbance. And by introducing a time-varying boundary layer to improve the symbolic function in the control law. Finally, the Lyapunov function is used to prove the stability of the control system. The simulation results show that the controller designed in this article has good position tracking performance and strong anti-disturbance ability.