Mean-square exponential stabilization of coupled hyperbolic systems with random parameters
Résumé
In this paper, we consider a system of two coupled scalar-valued hyperbolic partial differential equations (PDEs) with random parameters. We formulate a stability condition under which the classical backstepping controller (designed for a nominal system whose parameters are constant) stabilizes the system. More precisely, we guarantee closed-loop mean-square exponential stability under random system parameter perturbations, provided the nominal parameters are sufficiently close to the stochastic ones on average. The proof is based on a Lyapunov analysis, the Lyapunov functional candidate describing the contraction of L 2-norm of the system states. An illustrative traffic flow regulation example shows the viability and importance of the proposed result.
Fichier principal
Mean-square stabilization of coupled hyperbolic systems with random parameters.pdf (725.26 Ko)
Télécharger le fichier
Origine | Fichiers produits par l'(les) auteur(s) |
---|