DESIGN OF UNKNOWN INPUT FRACTIONAL-ORDER OBSERVERS FOR FRACTIONAL-ORDER SYSTEMS

被引：58

作者：

N'Doye, Ibrahima ^{[1
]}

Darouach, Mohamed ^{[2
]}

Voos, Holger ^{[1
]}

Zasadzinski, Michel ^{[2
]}

机构：

[1] Univ Luxembourg, Fac Sci Technol & Commun, L-1359 Luxembourg, Luxembourg

[2] Univ Lorraine, IUT Longwy, Res Ctr Automat Control Nancy, CRAN UMR,CNRS, F-54400 Cosnes Et Romain, France

来源：

INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS AND COMPUTER SCIENCE | 2013年 / 23卷 / 03期

关键词：

fractional calculus; fractional-order systems; fractional-order observers; existence condition; linear matrix inequality; unknown input; stability; LINEAR-SYSTEMS; STABILITY; ALGORITHM; POLE;

D O I：

10.2478/amcs-2013-0037

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 considers a method of designing fractional-order observers for continuous-time linear fractional-order systems with unknown inputs. Conditions for the existence of these observers are given. Sufficient conditions for the asymptotical stability of fractional-order observer errors with the fractional order a satisfying 0 < alpha < 2 are derived in terms of linear matrix inequalities. Two numerical examples are given to demonstrate the applicability of the proposed approach, where the fractional order a belongs to 1 <= alpha < 2 and 0 < alpha <= 1, respectively. A stability analysis of the fractional-order error system is made and it is shown that the fractional-order observers are as stable as their integer order counterpart and guarantee better convergence of the estimation error.

引用

页码：491 / 500

页数：10

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