Stabilization of arbitrary switched linear systems with unknown time-varying delays

被引：229
|
作者：
Hetel, L. [1 ]
Daafouz, J. [1 ]
Iung, C. [1 ]
机构：
[1] Nancy Univ, ENSEM, CNRS,UMR 7039, Inst Natl Polytech Lorraine,CRAN, F-54516 Vandoeuvre Les Nancy, France
来源：
IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2006年 / 51卷 / 10期
关键词：
linear matrix inequality (LMI); polytopic uncertainties; robustness; switched linear systems; time-varying feedback delays;
D O I：
10.1109/TAC.2006.883030
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
We consider continuous time switched systems that are stabilized via a computer. Several factors (sampling, computer computation, communications through a network, etc.) introduce model uncertainties produced by unknown varying feedback delays. These uncertainties can lead to instability when they are not taken into account. Our goal is to construct a switched digital control for continuous time switched systems that is robust to the varying feedback delay problem. The main contribution of this note is to show that the control synthesis problem in the context of unknown time varying delays can be expressed as a problem of stabilizability for uncertain systems with polytopic uncertainties.
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页码：1668 / 1674
页数：7
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