Output error minimizing back and forth nudging method for initial state recovery - Inria - Institut national de recherche en sciences et technologies du numérique Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2015

Output error minimizing back and forth nudging method for initial state recovery

Résumé

We show that for linear dynamical systems with skew-adjoint generators, the initial state estimate given by the back and forth nudging method with colocated feedback, converges to the minimizer of the discrepancy between the measured and simulated outputs — given that the observer gains are chosen suitably and the system is exactly observable. If the system's generator A is essentially skew-adjoint and dissipative (with not too much dissipation), the colocated feedback has to be corrected by the operator e^{At}e^{A*t} in order to obtain such convergence. In some special cases, a feasible approximation for this operator can be found analytically. The case with wave equation with constant dissipation will be demonstrated.
Fichier principal
Vignette du fichier
optimal_nudging.pdf (156.56 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-01216075 , version 1 (15-10-2015)
hal-01216075 , version 2 (28-06-2016)

Identifiants

Citer

Atte Aalto. Output error minimizing back and forth nudging method for initial state recovery. 2015. ⟨hal-01216075v1⟩
311 Consultations
122 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More