A Switched Lyapunov Function Approach to Stability Analysis of Non-Uniformly Sampled-Data Systems

被引:0
作者
Fujioka, Hisaya [1 ]
Nakai, Toshiharu [1 ]
Hetel, Laurentiu [2 ]
机构
[1] Kyoto Univ, Kyoto 6068501, Japan
[2] Univ Lille Nord france, CNRS, ECLille LAGIS, UMR 8146, F-59650 Villeneuve Dascq, France
来源
2010 AMERICAN CONTROL CONFERENCE | 2010年
关键词
networked control systems; non-uniform sampling; switched systems; stability analysis; STABILIZATION; DELAY;
D O I
暂无
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
Stability of sampled-data feedback systems with uncertainly time-varying sampling intervals is considered. It is shown that exponential stability of the system is implied by showing the existence of a switched Lyapunov function for the related discretized system. The proposed stability criterion is less conservative than the conventional one based on the quadratic stability of the discretized system. The reduction of the conservatism is illustrated by a numerical example.
引用
收藏
页码:1803 / +
页数:2
相关论文
共 11 条
[1]   Stability analysis and control synthesis for switched systems: A switched Lyapunov function approach [J].
Daafouz, J ;
Riedinger, P ;
Iung, C .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2002, 47 (11) :1883-1887
[2]   Robust sampled-data stabilization of linear systems: an input delay approach [J].
Fridman, E ;
Seuret, A ;
Richard, JP .
AUTOMATICA, 2004, 40 (08) :1441-1446
[3]   A Discrete-Time Approach to Stability Analysis of Systems With Aperiodic Sample-and-Hold Devices [J].
Fujioka, Hisaya .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2009, 54 (10) :2440-2445
[4]   A survey of recent results in networked control systems [J].
Hespanha, Joao P. ;
Naghshtabrizi, Payam ;
Xu, Yonggang .
PROCEEDINGS OF THE IEEE, 2007, 95 (01) :138-162
[5]   Analysis and control of LTI and switched systems in digital loops via an event-based modelling [J].
Hetel, L. ;
Daafouz, J. ;
Iung, C. .
INTERNATIONAL JOURNAL OF CONTROL, 2008, 81 (07) :1125-1138
[6]  
Hristu-Varsakelis D., 2005, Handbook of Networked and Embedded Control Systems
[7]   Some remarks on the use of time-varying delay to model sample-and-hold circuits [J].
Mirkin, Leom D. .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2007, 52 (06) :1109-1112
[8]   Stability and Stabilization of Aperiodic Sampled-Data Control Systems: An Approach Using Robust Linear Matrix Inequalities [J].
Oishi, Yasuaki ;
Fujioka, Hisaya .
PROCEEDINGS OF THE 48TH IEEE CONFERENCE ON DECISION AND CONTROL, 2009 HELD JOINTLY WITH THE 2009 28TH CHINESE CONTROL CONFERENCE (CDC/CCC 2009), 2009, :8142-8147
[9]   Analysis and Synthesis of State-Feedback Controllers With Timing Jitter [J].
Skaf, Joelle ;
Boyd, Stephen .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2009, 54 (03) :652-657
[10]   Stability and stabilization of nonuniform sampling systems [J].
Suh, Young Soo .
AUTOMATICA, 2008, 44 (12) :3222-3226