Delay range stability of a class of distributed time delay systems

被引：18
作者：
Gouaisbaut, F. [1 ,2 ]
Ariba, Y. [3 ]
机构：
[1] CNRS, LAAS, F-31077 Toulouse, France
[2] Univ Toulouse, UPS, INSA, INP,ISAE,LAAS, F-31077 Toulouse, France
[3] Icam, Dept Elect Engn & Comp Sci, F-31300 Toulouse, France
来源：
SYSTEMS & CONTROL LETTERS | 2011年 / 60卷 / 03期
关键词：
Stability; Distributed delays; Quadratic separation; H-INFINITY CONTROL; UNCERTAIN NEUTRAL SYSTEMS; ROBUST STABILIZATION; COMBUSTION;
D O I：
10.1016/j.sysconle.2010.12.005
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper is dedicated to the stability analysis of a class of uncertain distributed delay systems, the kernel of which can be modeled as a polynomial function of the delay. The results are constructed by rewriting the system as an uncertain interconnected model. Appropriate robust control tools, i.e. quadratic separation, are then used to address the stability issue. To this end, some relations that highlight relevant characteristics of the delayed term are added to the interconnected model leading then to the conservatism reduction. Finally, numerical examples show the effectiveness of the proposed method. (C) 2011 Elsevier B.V. All rights reserved.
引用
收藏
页码：211 / 217
页数：7
相关论文
共 24 条
[1]  
Ariba Y., 2008, INT C MATH PROBL ENG
[2]   Pseudospectral differencing methods for characteristic roots of delay differential equations [J].
Breda, D ;
Maset, S ;
Vermiglio, R .
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2005, 27 (02) :482-495
[3]   Delay-dependent robust stabilization for uncertain neutral systems with distributed delays [J].
Chen, Wu-Hua ;
Zheng, Wei Xing .
AUTOMATICA, 2007, 43 (01) :95-104
[4]  
EBIHARA Y, 2005, 44 IEEE C DEC CONTR
[5]   A MULTISTAGE REDUCTION TECHNIQUE FOR FEEDBACK STABILIZING DISTRIBUTED TIME-LAG SYSTEMS [J].
FIAGBEDZI, YA ;
PEARSON, AE .
AUTOMATICA, 1987, 23 (03) :311-326
[6]   A descriptor system approach to H∞ control of linear time-delay systems [J].
Fridman, E ;
Shaked, U .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2002, 47 (02) :253-270
[7]   Optimization problems over positive pseudopolynomial matrices [J].
Genin, Y ;
Hachez, Y ;
Nesterov, Y ;
Van Dooren, P .
SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2003, 25 (01) :57-79
[8]  
Gorecki H., 1989, ANAL SYNTHESIS TIME
[9]  
Gouaisbaut F., 2007, 46 IEEE C DEC CONTR
[10]  
GU K., 2003, CONTROL ENGN SER BIR
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