Observer design for Takagi–Sugeno descriptor models: An LMI approach

This paper considers observer design for nonlinear descriptor systems. We propose approaches based on Takagi–Sugeno (TS) models. An extended estimation vector is used in order to keep the descriptor structure of the observer. The design conditions are expressed as linear matrix inequalities. The pro...

Full description

Saved in:
Bibliographic Details
Published in:Automatica (Oxford) 2015-02, Vol.52, p.154-159
Main Authors: Guerra, Thierry Marie, Estrada-Manzo, Victor, Lendek, Zsófia
Format: Article
Language:English
Subjects:
Automatic
Engineering Sciences
Finsler’s Lemma
Linear matrix inequalities
Nonlinear observer design
Takagi–Sugeno models
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:This paper considers observer design for nonlinear descriptor systems. We propose approaches based on Takagi–Sugeno (TS) models. An extended estimation vector is used in order to keep the descriptor structure of the observer. The design conditions are expressed as linear matrix inequalities. The proposed observer structure, via an intermediate variable as estimated variable, is able to recover the previous observer results for TS descriptors. Moreover, through a direct extension via so-called Finsler’s Lemma, relaxed conditions are obtained. Numerical examples show the effectiveness of the proposed approaches.
ISSN:0005-1098
1873-2836
DOI:10.1016/j.automatica.2014.11.008