Overview of LTI interval observer design: towards a non-smooth optimisation-based approach - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue IET Control Theory and Applications Année : 2016

Overview of LTI interval observer design: towards a non-smooth optimisation-based approach

Résumé

Some applications in control require the state vector of a system to be expressed in the appropriate coordinates so as to satisfy to some mathematical properties which constrain the studied system dynamics. This is the case with the theory of linear interval observers which are trivial to implement on cooperative systems, a rather limited class of control systems. The available literature shows how to enforce this limiting cooperativity condition for any considered system through a state-coordinate transformation. This article proposes an overview of the existing numerical techniques to determine such a transformation. It is shown that in spite of being practical, these techniques have some limitations. Consequently, a reformulation of the problem is proposed so as to apply non-smooth control design techniques. A solution is obtained in both the continuous-and discrete-time frameworks. Interestingly, the new method allows to formulate additional control constraints. Simulations are performed on three examples.
Fichier principal
Vignette du fichier
IET_Chambon_2016.pdf (742.22 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-01345321 , version 1 (13-07-2016)

Identifiants

Citer

Emmanuel Chambon, Laurent Burlion, Pierre Apkarian. Overview of LTI interval observer design: towards a non-smooth optimisation-based approach. IET Control Theory and Applications, 2016, 10 (11), pp.1258-1268. ⟨10.1049/iet-cta.2015.0742⟩. ⟨hal-01345321⟩

Collections

ONERA TDS-MACS
298 Consultations
361 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More