Identification for control of multivariable systems: Controller validation and experiment design via LMIs - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Automatica Année : 2008

Identification for control of multivariable systems: Controller validation and experiment design via LMIs

Märta Barenthin
  • Fonction : Auteur correspondant
  • PersonId : 856634

Connectez-vous pour contacter l'auteur
Håkan Hjalmarsson
  • Fonction : Auteur
  • PersonId : 856635
Gérard Scorletti

Résumé

This paper presents a new controller validation method for linear multivariable time-invariant models. Classical prediction error system identification methods deliver uncertainty regions which are nonstandard in the robust control literature. Our controller validation criterion computes an upper bound for the worst case performance, measured in terms of the View the MathML source-norm of a weighted closed loop transfer matrix, achieved by a given controller over all plants in such uncertainty sets. This upper bound on the worst case performance is computed via an LMI-based optimization problem and is deduced via the separation of graph framework. Our main technical contribution is to derive, within that framework, a very general parametrization for the set of multipliers corresponding to the nonstandard uncertainty regions resulting from PE identification of MIMO systems. The proposed approach also allows for iterative experiment design. The results of this paper are asymptotic in the data length and it is assumed that the model structure is flexible enough to capture the true system.
Fichier principal
Vignette du fichier
Automatica_44-12_3070_200812.pdf (232.38 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-00347166 , version 1 (15-12-2008)

Identifiants

Citer

Märta Barenthin, Xavier Bombois, Håkan Hjalmarsson, Gérard Scorletti. Identification for control of multivariable systems: Controller validation and experiment design via LMIs. Automatica, 2008, 44 (12), pp.3070-3078. ⟨10.1016/j.automatica.2008.05.022⟩. ⟨hal-00347166⟩
153 Consultations
336 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More