Pseudo state feedback stabilization of commensurate fractional order systems

Author

Farges, Christophe ; Moze, Mathieu ; Sabatier, Jocelyn

Author_Institution

Groupe LAPS, Univ. Bordeaux 1, Talence, France

fYear

2009

fDate

23-26 Aug. 2009

Firstpage

3395

Lastpage

3400

Abstract

This paper addresses the problem of pseudo state feedback stabilization of commensurate fractional order systems. In the proposed approach, Linear Matrix Inequalities (LMI) formalism is used to check if the pseudo state matrix eigenvalues belong to the non convex fractional system stability region of the complex plane. A new LMI stability condition is first proposed. Based on this condition, a necessary and sufficient LMI method for the design of stabilizing controllers is given. Its efficiency is evaluated on an inverted fractional pendulum stabilization problem.

Keywords

control system synthesis; linear matrix inequalities; nonlinear control systems; pendulums; stability criteria; state feedback; LMI formalism; LMI stability condition; commensurate fractional order systems; inverted fractional pendulum stabilization problem; linear matrix inequality formalism; necessary and sufficient LMI method; nonconvex fractional system stability region; pseudostate feedback stabilization; pseudostate matrix eigenvalues; stabilizing controller design; Eigenvalues and eigenfunctions; Linear matrix inequalities; Mathematical model; Numerical stability; Stability criteria; State feedback;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (ECC), 2009 European

Conference_Location

Budapest

Print_ISBN

978-3-9524173-9-3

Type

conf

Filename

7074930