Experiment design for system identification using fractional models of the second kind

被引:2
作者
Malti, Rachid [1 ]
Mayoufi, Abir [1 ]
Victor, Stephane [1 ]
机构
[1] Univ Bordeaux, IMS UMR CNRS 5218, 351 Cours Liberat, F-33405 Talence, France
来源
IFAC PAPERSONLINE | 2018年 / 51卷 / 15期
关键词
Experiment design; fractional system of the second kind; system identification; Fisher Information Matrix; PARAMETER;
D O I
10.1016/j.ifacol.2018.09.173
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 paper deals with the problem of experiment design in system identification using elementary fractional models of the second type. It is based on a frequency domain approach and answers the question what is the best sine input signal maximizing D-optimality criterion of the Fisher Information Matrix. A single parameter is assumed to be unknown: gain, pseudo-damping factor, natural frequency, or the commensurate differentiation order. Analogy with second order systems, with the differentiation order equal to one, is pointed out. This work extends the previous one (Abrashov et al., 2017) which dealt with elementary fractional systems of the first kind. (C) 2018, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.
引用
收藏
页码:371 / 376
页数:6
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