An Adaptive Integral Sliding Mode Control for Disturbed Servo Motor Systems

Abstract-Servo motors are important parts of industry automation due to their several advantages such as cost and energy efficiency, simple design, and flexibility. However, the position control of the servo motor is a difficult task because of different factors of external disturbances, nonlinearities, and uncertainties. To tackle these challenges, an adaptive integral sliding mode control (AISMC) is proposed, in which a novel bidirectional adaptive law is constructed to reduce the control chattering. The proposed control has three steps to be designed. Firstly, a full-order integral sliding manifold is designed to improve the servo motor position tracking performance, in which the reaching phase is eliminated to achieve the invariance of the ISMC in the motor system response. Secondly, the bidirectional adaptive law of the switching gain is proposed to mitigate the chattering. In the proposed bidirectional adaptive law, the switching gain varies depending on the system uncertainties, providing the high switching gain initially and then moving to the lowest value when sliding mode is achieved. As a result, not only the overestimation issues of monotonically adaptive law are resolved, but also the prior information of the disturbance upper bound is no longer required. Thirdly, by using the Lyapunov theorem, the stability of the controlled servo system is mathematically proved. Finally, simulation tests are conducted to confirm the superiority of tracking and robustness of the proposed control algorithm over existing control algorithms in terms of position-tracking responses and chattering reduction.