Passive Control for a Class of Nonlinear Singular Discrete Systems

doi:10.3696/j.issn.1672-6952.2011.03.020

Journal of Liaoning Petrochemical University ›› 2011, Vol. 31 ›› Issue (3): 74-77.DOI: 10.3696/j.issn.1672-6952.2011.03.020

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Passive Control for a Class of Nonlinear Singular Discrete Systems

YI Na, HOU Jing-chen

College of Sciences, Liaoning Shihua University, Fushun Liaoning 113001,P. R. China

Received:2011-03-20 Published:2011-09-25 Online:2017-07-05

一类非线性广义离散系统的无源控制

衣娜,侯景臣

辽宁石油化工大学理学院,辽宁抚顺113001

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)。

Abstract

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

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

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.

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.

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Passive Control for a Class of Nonlinear Singular Discrete Systems

一类非线性广义离散系统的无源控制

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