Stabilization of Heterogeneous Quasilinear Traffic Flow System with Disturbances - Pôle Automatique et Diagnostic Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2022

Stabilization of Heterogeneous Quasilinear Traffic Flow System with Disturbances

Résumé

In this paper, we investigate the problem of boundary stabilization for a heterogeneous quasilinear traffic flow system with disturbances in the congested regime. The H2 integral input-to-state stability of multi-type traffic system described by first-order quasilinear hyperbolic partial differential equations is obtained in closed loop with a boundary controller. The control is at the inlet boundary of the considered road section and is optimally designed and computed for the linearized system. Making use of the backstepping transformation, the integral input-to-state stability of the quasilinear system is derived by mapping the transformed quasilinear system into an integral input-to-state stable target system for which a strict Lyapunov function is constructed. By simulations, we illustrate that the linear controller designed by using backstepping method locally stabilizes the quasilinear system.
Fichier principal
Vignette du fichier
GowL5.pdf (368.97 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-03644062 , version 1 (18-04-2022)

Identifiants

  • HAL Id : hal-03644062 , version 1

Citer

Lina Guan, Liguo Zhang, Christophe Prieur. Stabilization of Heterogeneous Quasilinear Traffic Flow System with Disturbances. 2022. ⟨hal-03644062⟩
80 Consultations
54 Téléchargements

Partager

Gmail Facebook X LinkedIn More