数控加工中心磁悬浮控制系统混沌预测

为了消除磁悬浮系统的混沌现象,采用泰勒级数展开得到非线性电磁力的表达式,建立磁悬浮系统动力学模型、空间状态方程和仿真模型.通过选取不同的系统参数、初始状态和外部扰动,得到了历经同宿轨道、分岔、混沌轨迹和稳定等不同状态的磁悬浮系统相轨迹图像.仿真研究结果表明,该方法可了解系统产生混沌行为的区域,进而为控制器设计并实现较大范围内的稳定悬浮和高精度加工、有效地避开混沌区域提供了有利依据.

Chaotic prediction for magnetic suspension control system of CNC machining center

In order to eliminate the chaotic effect of magnetic suspension system, the expression of nonlinear electromagnetic force was acquired with the Taylor series expansion method. In addition, the dynamics model, space state equation and simulation model of magnetic suspension system were established. Through selecting different system parameters, initial states and external disturbances, the phase track images of magnetic suspension system at such different states as homoclinic orbit, bifurcation, chaotic track and steady state were obtained. The simulated results show that the generation area of chaotic behavior in the magnetic suspension system can be understood with the proposed method, and thus a beneficial basis for designing the controller, achieving stable suspension and high machining accuracy in a wide range and avoiding effectively the chaotic region is provided. 