Non-fragile observer design for fractional-order one-sided Lipschitz nonlinear systems

被引：27

作者：

Lan Y.-H. ^{[1
,2
]}

Li W.-J. ^{[1
]}

Zhou Y. ^{[1
]}

Luo Y.-P. ^{[3
]}

机构：

[1] School of Information Engineering, Xiangtan University, Xiangtan

[2] Key Laboratory of Intelligent Computing and Information Processing of Ministry of Education, Xiangtan University, Xiangtan

[3] Institute of Intelligent Control, Hunan Institute of Engineering, Xiangtan

来源：

International Journal of Automation and Computing | 2013年 / 10卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Fractional-order; indirect Lyapunov approach; linear matrix inequality (LMI); nonlinear system; observer design;

D O I：

10.1007/s11633-013-0724-y

中图分类号：

学科分类号：

摘要：

This paper is concerned with the problem of the full-order observer design for a class of fractional-order Lipschitz nonlinear systems. By introducing a continuous frequency distributed equivalent model and using an indirect Lyapunov approach, the sufficient condition for asymptotic stability of the full-order observer error dynamic system is presented. The stability condition is obtained in terms of LMI, which is less conservative than the existing one. A numerical example demonstrates the validity of this approach. © 2013 Institute of Automation, Chinese Academy of Sciences and Springer-Verlag Berlin Heidelberg.

引用

页码：296 / 302

页数：6

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