Title :
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
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;
Conference_Titel :
Decision and Control (CDC), 2012 IEEE 51st Annual Conference on
Conference_Location :
Maui, HI
Print_ISBN :
978-1-4673-2065-8
Electronic_ISBN :
0743-1546
DOI :
10.1109/CDC.2012.6426206
