Stability of bilinear sampled-data systems with an emulation of static state feedback

Author

Omran, Hesham ; Hetel, Laurentiu ; Richard, Joyce ; Lamnabhi-Lagarrigue, Francoise

Author_Institution

LAGIS, Ecole Centrale de Lille, Villeneuve-d´Ascq, France

fYear

2012

fDate

10-13 Dec. 2012

Firstpage

7541

Lastpage

7546

Abstract

This note is dedicated to the stability analysis of bilinear sampled-data systems, controlled via a linear state feedback static controller. A zero order hold device is used. Our purpose is to find a constructive way to calculate the maximum allowable sampling period (MASP) that guarantees the local stability of the system. The proposed stability conditions are formulated as linear matrix inequalities (LMI).

Keywords

linear matrix inequalities; linear systems; sampled data systems; sampling methods; stability; state feedback; LMI; MASP; bilinear sampled-data system; linear matrix inequalities; linear state feedback static controller; maximum allowable sampling period; stability analysis; stability condition; static state feedback emulation; zero order hold device; Asymptotic stability; Lyapunov methods; Nonlinear systems; Numerical stability; Stability criteria; Symmetric matrices; Bilinear systems; emulation; sampled-data; stability;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control (CDC), 2012 IEEE 51st Annual Conference on

Conference_Location

Maui, HI

ISSN

0743-1546

Print_ISBN

978-1-4673-2065-8

Electronic_ISBN

0743-1546

Type

conf

DOI

10.1109/CDC.2012.6426206

Filename

6426206