东北大学学报（自然科学版）

东北大学学报(自然科学版) ›› 2010, Vol. 31 ›› Issue (1): 4-7.DOI: -

• 论著 • 上一篇    下一篇

一类非线性时滞广义系统的鲁棒H_∞控制

杨冬梅;于石;全新;   

  1. 东北大学理学院;
  • 收稿日期:2013-06-20 修回日期:2013-06-20 出版日期:2010-01-15 发布日期:2013-06-20
  • 通讯作者: -
  • 作者简介:-
  • 基金资助:
    中国博士后科学基金资助项目(2004035165)

Robust H∞ control of a class of nonlinear descriptor systems with state delay and parameter uncertainty

Yang, Dong-Mei (1); Yu, Shi (1); Quan, Xin (1)   

  1. (1) School of Sciences, Northeastern University, Shenyang 110004, China
  • Received:2013-06-20 Revised:2013-06-20 Online:2010-01-15 Published:2013-06-20
  • Contact: Yu, S.
  • About author:-
  • Supported by:
    -

RichHTML

0

PDF (PC)

886

摘要： 研究了一类带有线性分式不确定参数的非线性时滞广义系统的鲁棒H∞控制问题.基于线性矩阵不等式(LMI)理论,由严格的线性矩阵不等式设计方法给出有记忆状态反馈控制器存在的充分条件.对任意的滞后时间d>0和所有的容许不确定参数,该控制器保证了闭环广义系统是零解渐近稳定的且具有H∞范数约束γ.最后的数值算例说明了设计方法的可行性和有效性.

关键词: 广义系统, 状态反馈, 线性分式参数不确定性, 鲁棒H∞控制

Abstract: The robust H∞ control of a class of nonlinear delayed descriptor systems with linear fractional parameter uncertainties was investigated. Based on linear matrix inequality (LMI) theory, the sufficient conditions for the existence of memory-state feedback controllers was derived from the strict LMI design method. Then, the controllers guaranteed that the closed-loop descriptor systems was asymptotically stable with null solution and had a H∞ norm constraint γ, for arbitrary delay d>0 and all admissible uncertain parameters. The result of a numerical example showed the feasibility and effectiveness of the proposed method.

中图分类号: