Design of low-dimensional controllers for high-dimensional systems - CentraleSupélec Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2023

Design of low-dimensional controllers for high-dimensional systems

Mathieu Bajodek
Giorgio Valmorbida

Résumé

This article presents proposals for the design of reduced-order controllers for high-dimensional dynamical systems. The objective is to develop efficient control strategies that ensure stability and robustness with reduced computational complexity. By leveraging the concept of partial pole placement, which involves placing a subset of the closed-loop system's poles, this study aims to strike a balance between reduced-order modeling and control effectiveness. The proposed approach not only addresses the challenges posed by high-dimensional systems but also provides a systematic framework for controller design. When an infinite-dimensional operator is Riesz spectral, our theoretical analysis highlights the potential of partial pole placement in advancing control design. Model uncertainties, introduced by an error on the spectral decomposition, can also be allowed. This is illustrated in particular in the case of systems modeled by coupled ordinary-partial differential equations (ODE-PDE).
Fichier principal
Vignette du fichier
2023_SCL_arxiv.pdf (573.85 Ko) Télécharger le fichier
main_arxiv.pdf (444.64 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-04248781 , version 1 (18-10-2023)

Identifiants

Citer

Mathieu Bajodek, Hugo Lhachemi, Giorgio Valmorbida. Design of low-dimensional controllers for high-dimensional systems. 2023. ⟨hal-04248781⟩
13 Consultations
12 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More