An LMI approach for observer design for Takagi-Sugeno descriptor models

Víctor Estrada Manzo (1) , Thierry-Marie Guerra (1) , Zsofia Lendek

1 LAMIH - Laboratoire d'Automatique, de Mécanique et d'Informatique industrielles et Humaines - UMR 8201

This work presents a novel observer design for nonlinear descriptor systems using their Takagi-Sugeno representation. The approach allows obtaining more relaxed results than previous literature by changing the extended estimated state vector; this step permits using a full observer gain. The obtained conditions are pure LMI. Moreover, previous results are always included by the new ones. An example illustrates the benefits of the proposed method.

Mots clés: Linear matrix inequality; nonlinear descriptor; Takagi-Sugeno models; observer design

Domaines: Automatique / Robotique

Víctor Estrada Manzo, Thierry-Marie Guerra, Zsofia Lendek. An LMI approach for observer design for Takagi-Sugeno descriptor models. 2014 IEEE International Conference on Automation, Quality and Testing, Robotics (AQTR), May 2014, Cluj-Napoca, Romania. pp.1-5, ⟨10.1109/AQTR.2014.6857823⟩. ⟨hal-03468657⟩