Adaptive emission control of freeway traffic via compensation of modeling inconsistences

Nowadays when traffic jams and air pollution are very common, controlling the emission rate of the exhaust fumes is a significant task. Many difficulties make this problem more sophisticated, for example the present emission models sometimes need too many information so it is quite complex to work with them. On the other hand, the underlaying physics behind the hydrodynamic traffic models does not suggest unique mathematical formulation so we need adaptive controllers that iteratively improve the forecasts obtained by a rough initial model without tuning the parameters of a particular mathematical structure. In this paper a simple method is shown for determining the stationary solutions obtained from a hydrodynamic model for a realistic parameter range. The method is based on Robust Fixed Point Transformations (RFPT)-based adaptive control that needs only the main factors in the emission: the traffic density and velocity. For controlling it applies electric road signs for the prescribed velocities and allowed ingress rate from the ramp in the preceding sector. This is a new area for the RFPT, but as the simulations show it is successfully applyable to the problem.