Robust Adaptive Super-twisting Sliding Mode Stability Control for Underactuated Rotary Inverted Pendulum with Experimental Validation

Abstract In this paper, an adaptive proportional-integral-derivative (PID) sliding mode control method combined with super-twisting algorithm is designed for the stabilization control of rotary inverted pendulum system in the appearance of exterior perturbation. The state-space model of rotary inverted pendulum in the presence of exterior disturbance is obtained. Then, the super-twisting PID sliding mode controller is designed for finite time stability control of this underactuated control system. The upper bounds of perturbation are presumed to be unknown; accordingly, the adaptive control procedure is taken to approximate the uncertain bound of the external disturbances. The stability control of rotary inverted pendulum system is proved by means of the Lyapunov stability theory. In order to validate accuracy and efficiency of the recommended control technique, some simulation outcomes are prepared and compared with other existing method. Moreover, experimental results are implemented to show the success of the proposed method.