东北大学学报（自然科学版）

东北大学学报(自然科学版) ›› 2007, Vol. 28 ›› Issue (6): 773-776.DOI: -

• 论著 • 上一篇    下一篇

非线性离散广义系统的H_∞控制

衣娜;杨冬梅;张庆灵;李琴;   

  1. 东北大学理学院;东北大学理学院;东北大学理学院;东北大学理学院 辽宁沈阳110004;辽宁沈阳110004;辽宁沈阳110004;辽宁沈阳110004
  • 收稿日期:2013-06-24 修回日期:2013-06-24 出版日期:2007-06-15 发布日期:2013-06-24
  • 通讯作者: Yi, N.
  • 作者简介:-
  • 基金资助:
    中国博士后科学基金资助项目(2004035165)

Control for nonlinear discrete singular systems

Yi, Na (1); Yang, Dong-Mei (1); Zhang, Qing-Ling (1); Li, Qin (1)   

  1. (1) School of Sciences, Northeastern University, Shenyang 110004, China
  • Received:2013-06-24 Revised:2013-06-24 Online:2007-06-15 Published:2013-06-24
  • Contact: Yi, N.
  • About author:-
  • Supported by:
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摘要： 针对非线性离散广义系统研究了状态反馈H∞控制器的设计问题,利用广义Lyapunov函数和线性矩阵不等式(LMI),首先对系统的零解渐近稳定问题进行了研究,并在此基础上给出了系统的零解渐近稳定且具有H∞范数约束的充分条件,之后设计了状态反馈H∞控制器,使闭环系统具有同样的性能,最后给出了数值算例说明本文结论的有效性和可行性.

关键词: 非线性离散广义系统, 零解渐近稳定, H∞范数约束, 状态反馈

Abstract: The design of state feedback H∞ controller is discussed for nonlinear discrete singular systems. By means of generalized Lyapunov function and linear matrix inequality (LMI), the asymptotical stability with zero solution is studied for the system, and a sufficient condition is given such that the system is asymptotically stable with zero solution and also a H∞ norm constraint. And a state feedback H∞ controller is designed to guarantee the performance of the resultant closed-loop system. A numerical example is given to illustrate the feasibility and validity of the conclusion drawn.

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