A new observer-based stabilization method for linear systems with uncertain parameters

Houria Kheloufi (1) , Ali Zemouche (2) , Fazia Bedouhene (3) , Mohamed Boutayeb (2)

1 Analyse
2 CRAN - Centre de Recherche en Automatique de Nancy
3 Analyse

This paper deals with the problem of observer-based stabilization for linear systems with parameter uncertainties. A new design methodology is proposed thanks to a judicious use of the famous Young relation. This latter leads to a less restrictive synthesis condition, expressed in term of Linear Matrix Inequality~(LMI), than those available in the literature. A numerical example is provided in order to show the validity and superiority of the proposed method.

Domaines: Automatique

Houria Kheloufi, Ali Zemouche, Fazia Bedouhene, Mohamed Boutayeb. A new observer-based stabilization method for linear systems with uncertain parameters. 12th European Control Conference, ECC'13, Jul 2013, Zürich, Switzerland. pp.CDROM. ⟨hal-00800522⟩