Stabilization of an axially moving accelerated/decelerated system via an adaptive boundary control.
In this study, an adaptive boundary control is developed for vibration suppression of an axially moving accelerated/decelerated belt system. The dynamic model of the belt system is represented by partial-ordinary differential equations with consideration of the high acceleration/deceleration and unknown distributed disturbance. By utilizing adaptive technique and Lyapunov-based back stepping method, an adaptive boundary control is proposed for vibration suppression of the belt system, a disturbance observer is introduced to attenuate the effects of unknown boundary disturbance, the adaptive law is developed to handle parametric uncertainties and the S-curve acceleration/deceleration method is adopted to plan the belt׳s speed. With the proposed control scheme, the well-posedness and stability of the closed-loop system are mathematically demonstrated. Simulations are displayed to illustrate the effectiveness of the proposed control.
School of Automation Science and Engineering, South China University of Technology, Guangzhou 510640, China. Electronic address: auylau@scut.edu.cn.
Yu
Y
Liu
School of Automation Science and Engineering, South China University of Technology, Guangzhou 510640, China. Electronic address: zhao.zhijia@mail.scut.edu.cn.
Zhijia
Z
Zhao
School of Automation and Electrical Engineering, University of Science and Technology Beijing, Beijing 100083, China. Electronic address: hewei.ac@gmail.com.
Wei
W
He
Adaptive boundary control; Axially moving system; Backstepping technique; Disturbance observer; High acceleration/deceleration