关键词: &alpha, 阶逆系统；解耦；支持向量机；时变滑模变结构

Abstract:

In order to eliminate the friction between moving beam and guide rail in gantry CNC machine, two suspension systems were adopted to suspend the moving beam jointly, so there were coupling relation between two suspension systems. When the beam suffering unbalance force or external disturbance as the CNC machine working, the existing coupling relationship would influence the two suspension system's air gap, so the machining accuracy of compent was reduced. This paper analysed and concluded the coupling quantitative relationship when beam rolling around the center of mass and moving up and down.In order to eliminate the influence of coupling this paper adopted SVM to approach the two coupling suspension systems's α order inverse system. The obtained α order inverse system in series to coupling systems will be decoupled to two SISO pseudo linear systems.The decoupled SISO system adopted time-varying sliding mode control method. The method can make the system reach to the sliding mode surface directly at any original state, eliminating the process of original state reach to the sliding mode surface. So the sliding control can be achieved using shortest time and can realize global robustness of parameter perturbation and external disturbance. The simulation results show that the proposed method can decouple the coupling system effectively and can approach to the controlled object's α order inverse system without precise mathematical model. The time-varying sliding mode control method has fast response speed and strong robustness ability.

Key words: &alpha, order inverse system, decoupling, support vector machine(SVM), time-varying sliding mode