A novel stability analysis of linear systems under asynchronous samplings

被引:493
作者
Seuret, Alexandre [1 ]
机构
[1] CNRS, Control Syst Dept GIPSA Lab, F-38400 St Martin Dheres, France
关键词
Sampled-data systems; Uncertain systems; Lyapunov function; Packet losses; STABILIZATION;
D O I
10.1016/j.automatica.2011.09.033
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 article proposes a novel approach to assess the stability of continuous linear systems with sampled-data inputs. The method, which is based on the discrete-time Lyapunov theorem, provides easy tractable stability conditions for the continuous-time model. Sufficient conditions for asymptotic and exponential stability are provided dealing with synchronous and asynchronous samplings and uncertain systems. An additional stability analysis is provided for the cases of multiple sampling periods and packet losses. Several examples show the efficiency of the method. (C) 2011 Elsevier Ltd. All rights reserved.
引用
收藏
页码:177 / 182
页数:6
相关论文
共 23 条
[1]  
[Anonymous], 1995, OPTIMAL SAMPLED DATA, DOI DOI 10.1007/978-1-4471-3037-6
[2]  
[Anonymous], 2008, IFAC Proc
[3]   Robust sampled-data stabilization of linear systems: an input delay approach [J].
Fridman, E ;
Seuret, A ;
Richard, JP .
AUTOMATICA, 2004, 40 (08) :1441-1446
[4]   A refined input delay approach to sampled-data control [J].
Fridman, Emilia .
AUTOMATICA, 2010, 46 (02) :421-427
[5]   Stability analysis of systems with aperiodic sample-and-hold devices [J].
Fujioka, Hisaya .
AUTOMATICA, 2009, 45 (03) :771-775
[6]  
GU K., 2003, CONTROL ENGN SER BIR
[7]   Asymptotic stability and disturbance attenuation properties for a class of networked control systems [J].
Hai Lin ;
Guisheng Zhai ;
Panos J. Antsaklis .
Journal of Control Theory and Applications, 2006, 4 (1) :76-85
[8]   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
[9]   Stabilization of arbitrary switched linear systems with unknown time-varying delays [J].
Hetel, L. ;
Daafouz, J. ;
Iung, C. .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2006, 51 (10) :1668-1674
[10]  
HETEL L, 2007, THESIS I NATL POLYTE