东北大学学报（自然科学版）

东北大学学报(自然科学版) ›› 2006, Vol. 27 ›› Issue (11): 1189-1192.DOI: -

• 论著 • 上一篇    下一篇

分数阶系统H_∞控制器设计

赵春娜;潘峰;薛定宇;   

  1. 东北大学信息科学与工程学院;东北大学信息科学与工程学院;东北大学信息科学与工程学院 辽宁沈阳110004;辽宁沈阳110004;辽宁沈阳110004
  • 收稿日期:2013-06-23 修回日期:2013-06-23 出版日期:2006-11-15 发布日期:2013-06-23
  • 通讯作者: Zhao, C.-N.
  • 作者简介:-
  • 基金资助:
    国家自然科学基金资助项目(60475036)·

H∞ controller design for fractional order system

Zhao, Chun-Na (1); Pan, Feng (1); Xue, Ding-Yu (1)   

  1. (1) School of Information Science and Engineering, Northeastern University, Shenyang 110004, China
  • Received:2013-06-23 Revised:2013-06-23 Online:2006-11-15 Published:2013-06-23
  • Contact: Zhao, C.-N.
  • About author:-
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摘要： 分数阶系统的特征方程是一个具有复变量的分数阶指数的伪多项式,因此不能直接应用整数阶系统的控制方法·提出了一种分数阶系统的H∞控制器设计方法·首先利用提出的滤波器近似化方法近似分数阶系统·然后通过选择适当加权函数,根据要求设计H∞控制器·仿真表明,在用该方法得到的控制器的控制下,系统的特性有显著改善,动态响应也是令人满意的·实验结果显示此方法是有效的·

关键词: 分数阶微积分, 分数阶系统, 滤波器, 近似化, H∞控制器, 加权函数

Abstract: Because the characteristic equation of fractional order system is a pseudo-polynomial function with exponential-type fractional orders of complex variable, the control of integer orders cannot be directly applied to it. A robust H∞ controller is therefore designed for fractional order system to which the filter approximation proposed is applied with a weighting function selected properly to meet the requirements for designing the H∞ controller. Simulation results indicate that the performance of the system thus controlled is significantly improved with dynamic behavior satisfactorily obtained. The effectiveness of the method proposed is verified through tests.

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