Periodic observer design for non-linear model with periodic parameters via Takagi-Sugeno form

Author

Kerkeni, H. ; Lauber, J. ; Guerra, T.M. ; Kruszewski, A.

Author_Institution

CNRS, Univ. de Valenciennes et du Hainaut-Cambresis, Valenciennes

fYear

2008

fDate

25-27 June 2008

Firstpage

1628

Lastpage

1633

Abstract

In this paper, we propose a periodic observer design for a class of non-linear models in the discrete Takagi-Sugeno form with periodic parameters. The adopted framework is based on the Lyapunov theory and uses the linear matrix inequality (LMI) formalism. Only the stability of the estimation error is considered. The main goal is to reduce the conservatism of the stabilization conditions using some particular Lyapunov functions.

Keywords

Lyapunov methods; control system synthesis; discrete systems; linear matrix inequalities; nonlinear control systems; observers; periodic control; stability; Lyapunov theory; discrete Takagi-Sugeno form; estimation error stability; linear matrix inequality formalism; nonlinear model; periodic observer design; periodic parameters; Automatic control; Design automation; Estimation error; Extraterrestrial measurements; Industrial control; Linear matrix inequalities; Lyapunov method; Satellites; Stability; Takagi-Sugeno model;

fLanguage

English

Publisher

ieee

Conference_Titel

Control and Automation, 2008 16th Mediterranean Conference on

Conference_Location

Ajaccio

Print_ISBN

978-1-4244-2504-4

Electronic_ISBN

978-1-4244-2505-1

Type

conf

DOI

10.1109/MED.2008.4602047

Filename

4602047