辽宁石油化工大学学报

辽宁石油化工大学学报 ›› 2011, Vol. 31 ›› Issue (3): 74-77.DOI: 10.3696/j.issn.1672-6952.2011.03.020

• 数学与管理 • 上一篇    下一篇

一类非线性广义离散系统的无源控制

衣 娜,侯景臣   

  1. 辽宁石油化工大学理学院,辽宁抚顺113001
  • 收稿日期:2011-03-20 出版日期:2011-09-25 发布日期:2017-07-05
  • 作者简介:衣娜(1979-),女,辽宁抚顺市,讲师,博士。
  • 基金资助:
    国家自然科学基金(71001074);辽宁省教育厅科研项目(W2010302)。

 
Passive Control for a Class of Nonlinear Singular Discrete Systems

 

YI Na, HOU Jing-chen
  

  1. College of Sciences, Liaoning Shihua University, Fushun Liaoning 113001,P. R. China
  • Received:2011-03-20 Published:2011-09-25 Online:2017-07-05

PDF

摘要： 针对一类非线性广义离散系统的无源控制问题进行了分析。利用广义Lyapunov函数和线性矩阵不
等式(LMI),得到了非线性广义离散系统的零解渐近稳定且无源的充分条件,在此基础上得到了状态反馈无源控制
器,使闭环系统零解渐近稳定且无源。同时,给出了相应控制器的设计方法,最后提供一个数值算例说明结论的有
效性。

关键词: 非线性广义离散系统 ,  , 零解渐近稳定,  , 无源  ,  ,  状态反馈

Abstract:  

The passive control problem for a class of nonlinear singular discrete systems was analyzed. By the means of generalized Lyapunov function and linear matrix inequality, a sufficient condition was presented and a zero solution of nonlinear singular discrete system is asymptotically stable and passive. Based on the passive analysis, the condition was given for the existence of a state feedback passive controller, and it makes zero solution of the closed-loop system asymptotically stable and passive. Moreover, meamwhile the design method of the controller is given. An example was given to prove the validity of the results.

Key words: Nonlinear singular discrete systems ,  , Zero solution asymptotical stability ,  , Passivity ,  , State feedback

引用本文

衣 娜,侯景臣. 一类非线性广义离散系统的无源控制[J]. 辽宁石油化工大学学报, 2011, 31(3): 74-77.

YI Na, HOU Jing-chen.  

Passive Control for a Class of Nonlinear Singular Discrete Systems
[J]. Journal of Liaoning Petrochemical University, 2011, 31(3): 74-77.

使用本文

0
    /   /   推荐

导出引用管理器 EndNote|Ris|BibTeX

链接本文: http://journal.lnpu.edu.cn/CN/10.3696/j.issn.1672-6952.2011.03.020

               http://journal.lnpu.edu.cn/CN/Y2011/V31/I3/74



网站版权 © 2021《辽宁石油化工大学学报》编辑部

本系统由北京玛格泰克科技发展有限公司设计开发