高精度管型線性馬達之摩擦分析及補償器設計

Friction analysis and compensator design for a high-precision tubular linear motor

郭智瑋(Jr-Wei Guo)

指導教授 ： 陳美勇

國立臺灣師範大學/科技學院/機電科技研究所/碩士(2011年)

摘要

本論文研究之目的為設計並實現新型的高精密定位平台，並且針對摩擦力進行分析與補償器的設計。摩擦力為一種非常複雜的物理現象，會降低運動控制系統的定位精度與追蹤性能。

本論文所設計的實驗平台為單軸的定位平台，行程為210mm，平台整體為52920067mm3。為了減輕定位平台重量，平台機構採用鋁合金，傳動機構採用線性滑軌，致動器則使用管型線性馬達來驅動平台。

在摩擦力補償方面，我們首先建立與分析系統之動態模型，然後利用摩擦力模型或滑動觀測針對滑軌之摩擦力做估測，分別結合PID控制器、適應控制器或適應模糊控制器來對摩擦力進行補償，消除摩擦力對定位平台的影響，由模擬與實驗結果證明此系統為可行的。

關鍵字

管型線性馬達 ； 摩擦力 ； 適應控制 ； 模糊控制 ； 滑動觀測器

並列摘要

The purpose of this paper is to design and achieve a high-precision positioning platform and design a compensator by analysis of friction. Friction is a very complex physical phenomenon. And it degrades the positioning accuracy and tracking performances of the system.
This paper proposes a single axle positioning platform which travel is 210mm, and its size is as compact as 52920067mm3.The subject organization of the platform adopts the aluminum alloy material, in order to lighten the weight of the localization platform, the guiding devices adopt the linear slide rail. X axle use a tubular linear motor to drive the platform.
Firstly, the plant and dynamic model are derived and analyzed. Next, The estimation of friction is used by friction model or sliding-mode observer combined with PID controller, adaptive controller, adaptive fuzzy controller to eliminate the effect of friction. From simulation and experiment results, possible implementation, and satisfactory performances, and have been demonstrated.

並列關鍵字

Tubular linear motor ； Friction ； Adaptive control ； Fuzzy control ； Sliding-mode observer

參考文獻

[1] A. Helouvry, B. P. Dupont and C. Canudas de Wit “A survey of models, analysis tools and compensation methods for the control of machines with friction,” Automatica, Vol. 30, No. 7, pp. 1083-1138. 1994.

[2] C. Canudas de Wit, H.Olsson, K. J. Astrom, and P. Lischinsky “A new model for control of systems with friction” IEEE transactions on automatic control, Vol. 40, pp. 419-425, 1995.

[3] C. I. Huang, and L. C. Fu “Adaptive approach to motion controller of linear induction motor with friction compensation” IEEE/ASME transactions on mechatronics, Vol. 12, No. 4, pp. 480-490, 2007.

[4] F. Cupertino, D. Naso, E. Minino, and B. Turchiano “Sliding-mode control with double boundary layer for robust compensation of payload mass and friction in linear motors” IEEE transactions on industry applications, Vol. 45, No. 5, pp. 1688-1696, 2009

[5] S. L. Chen, K. K. Tan, S. Huang, and C. S. Teo “Modeling and compensation of ripples and friction in permanent-magnet linear motor using a hysteretic relay,” IEEE transactions on mechatronics, Vol. 15, No. 4, pp. 586-594, 2010