Asymptotical stabilization of fractional-order singular uncertain linear systems

Author

Yu-De Ji ; Ji-Qing Qiu

Author_Institution

Coll. of Math. & Sci. of Inf., Hebei Normal Univ., Shijiazhuang, China

Volume

2

fYear

2014

fDate

13-16 July 2014

Firstpage

664

Lastpage

669

Abstract

This paper focuses on the output feedback stabilization for fractional-order singular (FOS) uncertain linear systems with the fractional commensurate order 0 <; α <; 1. The objective is to design suitable output feedback controllers that guarantee the stability of closed-loop systems. Based on the matrix´s singular value decomposition (SVD), some new results in the form of linear matrix inequality (LMI) are developed to the output feedback controller synthesis for the FOS systems. Finally, numerical examples are given to illustrate the effectiveness of the proposed design methods.

Keywords

asymptotic stability; closed loop systems; control system synthesis; feedback; linear matrix inequalities; linear systems; singular value decomposition; uncertain systems; LMI; SVD; asymptotical stabilization; closed-loop system; fractional commensurate order; fractional-order singular system; linear matrix inequality; output feedback controller; output feedback stabilization; singular value decomposition; uncertain linear systems; Abstracts; Xenon; Fractional-order systems; Linear matrix inequality (LMI); Output feedback controller;

fLanguage

English

Publisher

ieee

Conference_Titel

Machine Learning and Cybernetics (ICMLC), 2014 International Conference on

Conference_Location

Lanzhou

ISSN

2160-133X

Print_ISBN

978-1-4799-4216-9

Type

conf

DOI

10.1109/ICMLC.2014.7009688

Filename

7009688