  We study the application of a recently introduced hierarchical description of
traffic flow control by driver-assist vehicles to include lane changing
dynamics. Lane-dependent feedback control strategies are implemented at the
level of vehicles and the aggregate trends are studied by means of
Boltzmann-type equations determining three different hydrodynamics based on the
lane switching frequency. System of first order macroscopic equations
describing the evolution of densities along the lanes are then consistently
determined through a suitable closured strategy. Numerical examples are then
presented to illustrate the features of the proposed hierarchical approach.
