[1]郭新兰,李文林.中立时滞系统指数稳定的一种设计方法[J].南京师范大学学报(工程技术版),2005,05(04):014-17.
　GUO Xinlan,LI Wenlin.One Design Method of Exponential Stability for Neutral Delay System[J].Journal of Nanjing Normal University(Engineering and Technology),2005,05(04):014-17.
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中立时滞系统指数稳定的一种设计方法
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南京师范大学学报（工程技术版）[ISSN:1006-6977/CN:61-1281/TN]

卷:
05卷
期数:
2005年04期
页码:
014-17
栏目:
出版日期:
2005-12-30

文章信息/Info

Title:
One Design Method of Exponential Stability for Neutral Delay System
作者:
郭新兰;李文林;
河南师范大学数学与信息科学学院, 河南新乡453007
Author(s):
GUO Xinlan; LI Wenlin
School of Mathematics and Information Science,Henan Normal University,Henan Xinxiang 453007,China
关键词:
中立系统;  指数稳定;  Lyapunov函数;  反馈增益
Keywords:
neu tra l system s;  exponential stability;  Lyapunov functions;  feedback gain
分类号:
TP13
摘要:
研究了一类时滞中立系统指数稳定问题,设计一个基于观测器的状态反馈控制器保证误差系统指数稳定,并且原系统也是指数稳定的.通过解一个LM I来解决设计增益问题,克服了文献[1]引入参数过多而又没有合适的选取参数方法的缺点.最后,以一个数值例子说明了设计方法的有效性和可行性.
Abstract:
Th is paper studies the exponentia l stab ility prob lem for a class of neutra l delay system, and des igns a state feedback con tro ller based on obse rver to guarantee the exponentia l stability fo r the error dynam ic system, and the ex ponentia l stab ility for the or ig ina l sy stem. LM I is so lved to settle the ga in design question, to overcom e the shortcom ings in paper [ 1] tha t toom any pa rame ters are in troduced but the prope rways to se lec t these param eters are not g iven. Fina lly, an illustra tive ex am ple is used to dem onstrate the valid ity and feasib ility of the propo sed design proce dure.

参考文献/References:

[ 1] W ang Zidong, Lam Jam es, Burnham K J. S tab ility analy- sis and observer des ign fo r neutra l de lay system s [ J]. IEEE Transactions on Autom atic Contro,l 2002, 47( 3): 478- 483.
[ 2] Liao X X, M aoX. Exponential stab ility in m ean square o f neutral sto chastic differential d ifference equations [ J]. Dyna Control D iscrete Impulsive Syst, 1999 ( 6 ): 569- 586.
[ 3] W ang Z, Burnham K J. Robust filtering fo r a c lass of sto chastic uncerta in non-linear tim e-delay system s v ia expo nen tia l sta te estima tion[ J]. IEEE Trans Signa l Process ing, 2001, 49: 794 -804.
[ 4] W ang Z, Zhu J, Unbehauen H. Robust filter design w ith tim evary ing parame ter unce rtainty and error var iance constra ints[ J]. Int J Contro,l 1999, 72: 30- 38.
[ 5] W ang Z, H uang B. RobustH 2 /H ∞ filter ing for linea r sys tem s w ith e rror var iance constra ints[ J]. IEEE Trans Sig na l Process ing, 2000, 48: 2463- 2467.
[ 6] 俞立. 鲁棒控制- 线性矩阵不等式处理方法[M ]. 北京: 清华大学出版社, 2002.

备注/Memo

备注/Memo:
作者简介: 郭新兰( 1979-) , 女, 硕士研究生, 主要从事自适应控制与鲁棒控制等方面的学习与研究. E-m ail:x inlan-guo@ 163. com
通讯联系人: 李文林( 1949-) , 教授, 博士, 主要从事滑模控制与自适应控制等方面的教学与研究. E-m a il:hsd lw l@ tom. com
更新日期/Last Update: 2013-04-29