Robust Stability and Stabilization of Fractional-Order Interval Systems: An LMI Approach

Author

Lu, Jun-Guo ; Chen, Guanrong

Author_Institution

Dept. of Autom., Shanghai Jiaotong Univ., Shanghai

Volume

54

Issue

6

fYear

2009

fDate

6/1/2009 12:00:00 AM

Firstpage

1294

Lastpage

1299

Abstract

This technical note presents necessary and sufficient conditions for the stability and stabilization of fractional-order interval systems. The results are obtained in terms of linear matrix inequalities. Two illustrative examples are given to show that our results are effective and less conservative for checking the robust stability and designing the stabilizing controller for fractional-order interval systems.

Keywords

linear matrix inequalities; stability; LMI approach; fractional-order interval systems; linear matrix inequalities; robust stability; stabilization; stabilizing controller; sufficient conditions; Automatic control; Circuit synthesis; Control system synthesis; Control systems; Costs; Dynamic programming; Eigenvalues and eigenfunctions; Integral equations; Linear matrix inequalities; Optimal control; Quantization; Robust control; Robust stability; Sufficient conditions; Uncertainty; Fractional-order system; interval system; linear matrix inequality (LMI); robust stability; robust stabilization;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/TAC.2009.2013056

Filename

4982688