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 (7): 709-712.DOI: -

• 论著 •    下一篇

一类不确定广义系统的鲁棒H_∞控制

尹玉娟;赵军;   

  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 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:2006-07-15 发布日期:2013-06-23
  • 通讯作者: Yin, Y.-J.
  • 作者简介:-
  • 基金资助:
    国家自然科学基金资助项目(60274009,60574013);;

Robust H∞ control for a class of uncertain singular systems

Yin, Yu-Juan (1); Zhao, Jun (1)   

  1. (1) School of Information Science and Engineering, Northeastern University, Shenyang 110004, China
  • Received:2013-06-23 Revised:2013-06-23 Online:2006-07-15 Published:2013-06-23
  • Contact: Yin, Y.-J.
  • About author:-
  • Supported by:
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摘要： 主要考虑一类具有有界扰动不确定广义系统的二次稳定问题.通过变换的方法,将比例导数反馈镇定不确定广义系统H∞控制问题转化为增广不确定广义系统的状态反馈H∞控制问题.证明了不确定广义系统比例导数状态反馈(PDSF)H∞鲁棒控制与增广系统比例状态反馈(PSF)H∞鲁棒控制问题的等价性.应用LMI方法,给出不确定广义系统具有H∞性能指标γ的充分条件及鲁棒控制器的设计方法.最后,数值例子说明定理的有效性.

关键词: 广义系统, 鲁棒控制, 线性矩阵不等式, 正常化, 二次镇定

Abstract: The problem of quadratic stability is considered for a class of uncertain singular systems with norm-bounded perturbation. By transform method, the problem of control with H∞ performance index becomes a corresponding robust H∞ stabilization problem for augmented uncertain singular system. Thus, it is proved that the normalization and robust H∞ stabilization via PDSF for uncertain singular system are equivalent to the robust H∞ stabilization via PSF. Based on LMI method, the design of robust H∞ controller is given with the validity of relevant theorems illustrated by a numerical example.

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