Joint estimation of the fractional differentiation orders and the unknown input for linear fractional non-commensurate system

被引：0

作者：

Belkhatir, Zehor ^{[1
]}

Laleg-Kirati, Taous-Meriem ^{[1
]}

机构：

[1] King Abdullah Univ Sci & Technol, Comp Elect & Math Sci & Engn Div, Thuwal, Saudi Arabia

来源：

2015 IEEE CONFERENCE ON CONTROL AND APPLICATIONS (CCA 2015) | 2015年

关键词：

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：

This paper deals with the joint estimation of the unknown input and the fractional differentiation orders of a linear fractional order system. A two-stage algorithm combining the modulating functions with a first-order Newton method is applied to solve this estimation problem. First, the modulating functions approach is used to estimate the unknown input for a given fractional differentiation orders. Then, the method is combined with a first-order Newton technique to identify the fractional orders jointly with the input. To show the efficiency of the proposed method, numerical examples illustrating the estimation of the neural activity, considered as input of a fractional model of the neurovascular coupling, along with the fractional differentiation orders are presented in both noise-free and noisy cases.

引用

页码：388 / 393

页数：6

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