Quadratic dissipation inequalities for nonlinear systems using event-triggered controllers - CNRS - Centre national de la recherche scientifique Accéder directement au contenu
Communication Dans Un Congrès Année : 2015

Quadratic dissipation inequalities for nonlinear systems using event-triggered controllers

Résumé

We present a method to design event-triggered controllers that ensure the satisfaction of quadratic dissipation inequalities for nonlinear sampled-data systems. We follow an emulation approach for this purpose. We first assume that a static feedback law is designed in continuous-time to guarantee such a dissipativity property. We then take into account sampling and we synthesize a triggering rule to preserve dissipativity. The parameters of the sampling law can be adjusted to approximately recover the quadratic terms of the initial supply rate with any desired accuracy by solving a linear matrix inequality, which can always be satisfied. We then tailor our results to specific quadratic dissipativity properties, namely mbox{(strict-)}passivity and mathcal{L}_2-stability. Our results cover periodic sampling as a particular case, for which we provide new explicit bounds on the maximum allowable sampling period.
Fichier principal
Vignette du fichier
01-final-cdc-event-trig-dissipativity-quadratic.pdf (122.73 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-01204828 , version 1 (08-12-2015)

Identifiants

  • HAL Id : hal-01204828 , version 1

Citer

Romain Postoyan. Quadratic dissipation inequalities for nonlinear systems using event-triggered controllers. 54th IEEE Conference on Decision and Control, Dec 2015, Osaka, Japan. ⟨hal-01204828⟩
67 Consultations
262 Téléchargements

Partager

Gmail Facebook X LinkedIn More