Robust design of a switched PI controller for an uncertain traffic model

This paper deals with the robust local H_∞ regulation of a freeway section. The model used to describe the on-ramp 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.