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One Design Method of Exponential Stability for Neutral Delay System(PDF)

南京师范大学学报(工程技术版)[ISSN:1006-6977/CN:61-1281/TN]

Issue:
2005年04期
Page:
14-17
Research Field:
Publishing date:

Info

Title:
One Design Method of Exponential Stability for Neutral Delay System
Author(s):
GUO XinlanLI Wenlin
School of Mathematics and Information Science,Henan Normal University,Henan Xinxiang 453007,China
Keywords:
neu tra l system s exponential stability Lyapunov functions feedback gain
PACS:
TP13
DOI:
-
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.

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.

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Last Update: 2013-04-29