Optimal partitioning method for stability analysis of continuous/discrete delay systems

被引：82
作者：
Feng, Zhiguang [1 ]
Lam, James [2 ]
Yang, Guang-Hong [3 ,4 ]
机构：
[1] Bohai Univ, Coll Informat Sci & Technol, Jinzhou, Liaoning, Peoples R China
[2] Univ Hong Kong, Dept Mech Engn, Pokfulam, Hong Kong, Peoples R China
[3] Northeastern Univ, Coll Informat Sci & Engn, Shenyang, Liaoning, Peoples R China
[4] Northeastern Univ, Key Lab Integrated Automat Proc Ind, Minist Educ, Shenyang, Peoples R China
来源：
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL | 2015年 / 25卷 / 04期
关键词：
delay partitioning; continuous-time systems; discrete-time systems; time-varying delay; CRITERIA; STABILIZATION;
D O I：
10.1002/rnc.3106
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 concerned with the problem of stability analysis for continuous-time/discrete-time systems with interval time-varying delay. Based on the idea of partitioning the delay interval into l nonuniform subintervals, new Lyapunov functionals are established. By utilizing the reciprocally convex approach to deal with the delay information in each subinterval, sufficient stability conditions are proposed in terms of linear matrix inequalities. Based on these criteria, the optimal partitioning method is given on the basis of the genetic algorithm. Finally, the reduced conservatism of the results in this paper is illustrated by numerical examples. Copyright (c) 2013 John Wiley & Sons, Ltd.
引用
收藏
页码：559 / 574
页数：16
相关论文
共 35 条
[1]   Optimal direct (static) output feedback controller using real coded genetic algorithms [J].
Arfiadi, Y ;
Hadi, MNS .
COMPUTERS & STRUCTURES, 2001, 79 (17) :1625-1634
[2]   A delay-partitioning projection approach to stability analysis of continuous systems with multiple delay components [J].
Du, B. ;
Lam, J. ;
Shu, Z. ;
Wang, Z. .
IET CONTROL THEORY AND APPLICATIONS, 2009, 3 (04) :383-390
[3]  
Du H., 2007, Control and Intelligent Systems, V35, P395, DOI 10.2316/Journal.201.2007.4.201-1865
[4]   Constrained H2 approximation of multiple input-output delay systems using genetic algorithm [J].
Du, Haiping ;
Lam, James ;
Huang, Biao .
ISA TRANSACTIONS, 2007, 46 (02) :211-221
[5]   H∞ control for buildings with time delay in control via linear matrix inequalities and genetic algorithms [J].
Du, Haiping ;
Zhang, Nong .
ENGINEERING STRUCTURES, 2008, 30 (01) :81-92
[6]   Non-fragile output feedback H∞ vehicle suspension control using genetic algorithm [J].
Du, HP ;
Lam, J ;
Sze, KY .
ENGINEERING APPLICATIONS OF ARTIFICIAL INTELLIGENCE, 2003, 16 (7-8) :667-680
[7]   New conditions for delay-derivative-dependent stability [J].
Fridman, Emilia ;
Shaked, Uri ;
Liu, Kun .
AUTOMATICA, 2009, 45 (11) :2723-2727
[8]   Delay-dependent output-feedback stabilisation of discrete-time systems with time-varying state delay [J].
Gao, H ;
Lam, J ;
Wang, C ;
Wang, Y .
IEE PROCEEDINGS-CONTROL THEORY AND APPLICATIONS, 2004, 151 (06) :691-698
[9]   New results on stability of discrete-time systems with time-varying state delay [J].
Gao, Huijun ;
Chen, Tongwen .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2007, 52 (02) :328-334
[10]  
Gus K, 2003, STABILITY TIME DELAY
1234