引用本文:杜仁慧,吴益飞,陈威,陈庆伟.考虑齿隙伺服系统的反步自适应模糊控制[J].控制理论与应用,2013,30(2):254~260.[点击复制]
DU Ren-hui,WU Yi-fei,CHEN Wei,CHEN Qing-wei.Adaptive backstepping fuzzy control for servo systems with backlash[J].Control Theory and Technology,2013,30(2):254~260.[点击复制]
考虑齿隙伺服系统的反步自适应模糊控制
Adaptive backstepping fuzzy control for servo systems with backlash
摘要点击 2837  全文点击 1457  投稿时间:2012-05-15  修订日期:2012-10-10
查看全文  查看/发表评论  下载PDF阅读器
DOI编号  10.7641/CTA.2013.20522
  2013,30(2):254-260
中文关键词  齿隙  近似死区模型  伺服系统  模糊逼近系统  反步自适应控制
英文关键词  backlash  approximate dead-zone model  servo system  fuzzy approximation system  adaptive backstepping control
基金项目  国家自然科学基金资助项目(60975075, 61074023); 江苏省研究生科研创新资助项目(CXZZ12-0203).
作者单位E-mail
杜仁慧* 南京理工大学 自动化学院 durenhui1985@hotmail.com 
吴益飞 南京理工大学 自动化学院  
陈威 南京理工大学 自动化学院  
陈庆伟 南京理工大学 自动化学院  
中文摘要
      针对具有未知参数和齿隙非线性的机电伺服系统, 引入一种近似死区函数建立了系统的数学模型, 给出了死区函数中参数的选取方法. 用两个自适应模糊逻辑系统在线逼近机电伺服系统中的未知参数和非线性环节, 从而避免了对每个未知参数推导自适应律. 基于反步法设计了自适应模糊控制器, 可抑制未知参数和齿隙非线性对系统性能的影响. 采用Lyapunov方法证明了位置跟踪误差的指数收敛性. 与PID控制方法对比的仿真实验表明, 本文方法能够显著减小齿轮间传递力矩的振荡, 并具有很好的控制精度和鲁棒性.
英文摘要
      An approximate dead-zone function is introduced to build the model of the electromechanical servo system with unknown parameters and nonlinear backlash; the method for selecting parameters of the approximate dead-zone function is also given. Two adaptive fuzzy logic systems are employed to approximate unknown parameters and the nonlinear part of the servo system online, to avoid the derivation of adaptive law for each unknown parameter. Adaptive fuzzy controller is also developed based on backstepping method, which effectively inhibits the influence of parameter uncertainties and backlash nonlinearity. It is theoretically shown by using Lyapunov function that the position tracking error converges exponentially. Finally simulations show that the adaptive backstepping fuzzy controller not only reduces gear transmitting torque oscillation significantly, but also have higher accuracy and robustness in performances than PID controller.