Robust Design of a Switched PI Controller for an Uncertain Traffic Model

Antoine Lemarchand (1) , Damien Koenig (1) , John Jairo Martinez Molina (1)

1 GIPSA-SLR - GIPSA - Systèmes linéaires et robustesse

This paper deals with the robust local Hinf regulation of a freeway section. The model used to describe the onramp neighborhood is a discrete-time linear switching model. We extended this model with parametric uncertainties. We propose to design a bank of robust PI controllers to ensure that the system follows the concentration references even in presence of parametric uncertainties and exogenous disturbances. These controllers are computed using LMI resolution.

Mots clés: LMI; ucertain model; robustness; Traffic model

Domaines: Automatique

Antoine Lemarchand, Damien Koenig, John Jairo Martinez Molina. Robust Design of a Switched PI Controller for an Uncertain Traffic Model. CDC 2010 - 49th IEEE Conference on Decision and Control, Dec 2010, Atlanta, Georgie, United States. pp.n-c. ⟨hal-00544103⟩