DELAY-RANGE-DEPENDENT ROBUST H-infinity FILTERING FOR SINGULAR LPV SYSTEMS WITH TIME VARIANT DELAY

被引:0
作者
Li, Fanbiao [1 ]
Zhang, Xian [1 ]
机构
[1] Heilongjiang Univ, Sch Math Sci, 74 Xuefu Rd, Harbin 150080, Heilongjiang, Peoples R China
来源
INTERNATIONAL JOURNAL OF INNOVATIVE COMPUTING INFORMATION AND CONTROL | 2013年 / 9卷 / 01期
关键词
Singular LPV systems; H-infinity filtering; BRL; Time-variant delay;
D O I
暂无
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
This paper is concerned with the problem of the robust H-infinity filtering for singular linear parameter varying (LPV) systems with time variant delays. Firstly, based on a so-called piecewise analysis method, a delay-range-dependent bounded real lemma (BRL) is presented to ensure the singular time-delay LPV systems to be admissible and satisfy a prescribed H-infinity performance level. Secondly, based on the BRL, a sufficient condition for the existence of such a filter is proposed in terms of linear matrix inequality. Finally, the effectiveness of the proposed approach is shown by several numerical examples.
引用
收藏
页码:339 / 353
页数:15
相关论文
共 20 条
[1]   Delay-scheduled state-feedback design for time-delay systems with time-varying delays-A LPV approach [J].
Briat, C. ;
Sename, O. ;
Lafay, J. F. .
SYSTEMS & CONTROL LETTERS, 2009, 58 (09) :664-671
[2]  
Dai L., 1989, LECT NOTES CONTROL I, V118
[3]   Parameter-dependent Lyapunov function approach to robust stability analysis for discrete-time descriptor polytopic systems [J].
Gao, Xiangyu ;
Duan, Guang-Ren ;
Zhang, Xian .
PROCEEDINGS OF THE 48TH IEEE CONFERENCE ON DECISION AND CONTROL, 2009 HELD JOINTLY WITH THE 2009 28TH CHINESE CONTROL CONFERENCE (CDC/CCC 2009), 2009, :1139-1144
[4]   A delay-dependent bounded real lemma for singular LPV systems with time-variant delay [J].
Li, Fanbiao ;
Zhang, Xian .
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2012, 22 (05) :559-574
[5]  
Li FB, 2010, CHIN CONTR CONF, P944
[6]  
LU RQ, 2009, JOINT 48 IEEE C DEC, P4105
[7]  
Wang JL, 2009, INT J INNOV COMPUT I, V5, P3377
[8]   Delay-dependent robust H∞ and L2-L∞ filtering for LPV systems with both discrete and distributed delays [J].
Wu, L. ;
Shi, P. ;
Wang, C. ;
Gao, H. .
IEE PROCEEDINGS-CONTROL THEORY AND APPLICATIONS, 2006, 153 (04) :483-492
[9]   A New Approach to Stability Analysis and Stabilization of Discrete-Time T-S Fuzzy Time-Varying Delay Systems [J].
Wu, Ligang ;
Su, Xiaojie ;
Shi, Peng ;
Qiu, Jianbin .
IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART B-CYBERNETICS, 2011, 41 (01) :273-286
[10]   Model Approximation for Discrete-Time State-Delay Systems in the T-S Fuzzy Framework [J].
Wu, Ligang ;
Su, Xiaojie ;
Shi, Peng ;
Qiu, Jianbin .
IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2011, 19 (02) :366-378