Identification of the delay parameter for nonlinear time-delay systems with unknown inputs

被引:41
|
作者
Zheng, G. [1 ,2 ]
Barbot, J. P. [1 ,3 ]
Boutat, D. [4 ]
机构
[1] INRIA Lille Nord Europe, F-59650 Villeneuve Dascq, France
[2] LAGIS CNRS 8219, F-59651 Villeneuve Dascq, France
[3] ECS ENSEA, F-95014 Cergy Pontoise, France
[4] Loire Valley Univ, ENSI Bourges, F-18020 Bourges, France
关键词
Time-delay system; Delay identification; LINEAR-SYSTEMS; OBSERVERS; OUTPUT; RINGS;
D O I
10.1016/j.automatica.2013.02.020
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
Using the theory of non-commutative rings, this paper studies the delay identification of nonlinear time-delay systems with unknown inputs. A sufficient condition is given in order to deduce an output delay equation from the studied system. Then necessary and sufficient conditions are proposed to judge whether the deduced output delay equation can be used to identify delay involved in this equation. Two different cases are discussed for the dependent and independent outputs, respectively. The presented result is applied to identify delay in a biological system. (C) 2013 Elsevier Ltd. All rights reserved.
引用
收藏
页码:1755 / 1760
页数:6
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