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

被引:89
作者
Guerra, Thierry Marie [1 ]
Estrada-Manzo, Victor [1 ]
Lendek, Zsofia [2 ]
机构
[1] Univ Valenciennes & Hainaut Cambresis, LAMIH, UMR CNRS 8201, F-59313 Valenciennes 9, France
[2] Tech Univ Cluj Napoca, Dept Automat, Cluj Napoca 400114, Romania
关键词
Linear matrix inequalities; Takagi-Sugeno models; Nonlinear observer design; Finsler's Lemma; FUZZY CONTROL; STABILITY; SYSTEMS; REGULATORS;
D O I
10.1016/j.automatica.2014.11.008
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
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. (C) 2015 Published by Elsevier Ltd.
引用
收藏
页码:154 / 159
页数:6
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