Reduced Order Modeling for Systems with Parametric Uncertainty Using Proper Generalized Decomposition - Inria - Institut national de recherche en sciences et technologies du numérique Accéder directement au contenu
Communication Dans Un Congrès Année : 2015

Reduced Order Modeling for Systems with Parametric Uncertainty Using Proper Generalized Decomposition

Résumé

— In this work we have proposed a new technique of model order reduction for linear time invariant (LTI) systems with parametric uncertainty. The model order reduction method is based on proper generalized decomposition (PGD). Using PGD, the underlying state variable is expanded as a sum of separated functions of time and uncertain parameters. At first, the stochastic states of the LTI system is represented using PGD. Then equations to obtain the PGD basis functions are derived. Furthermore a state feedback structure for the control input is assumed where the gain is found by solving a minimum expectation linear quadratic regulator (LQR) problem. An algorithm is then proposed, from which the PGD basis functions and the control input gain are found. The proposed algorithm is then applied to control the angle of attack and pitch rate of a F-16 aircraft having uncertain parameters. It is found that the proposed technique based on PGD could successfully achieve the control objective for the current application.
Fichier principal
Vignette du fichier
draft_final_Acc.pdf (433.42 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-01132280 , version 1 (16-03-2015)

Licence

Copyright (Tous droits réservés)

Identifiants

Citer

Parikshit Dutta. Reduced Order Modeling for Systems with Parametric Uncertainty Using Proper Generalized Decomposition. American Control Conference, IEEE Control System Society, Jul 2015, Chicago, United States. pp.613 - 618 ⟨10.1109/ACC.2015.7170803⟩. ⟨hal-01132280⟩

Collections

TDS-MACS
82 Consultations
264 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More