Robust Interpolating Traffic Signal Control for Uncertain Road Networks

Many traffic control strategies in the literature are designed based on various traffic flow models, which do not include parameter uncertainties in their intersection flow dynamics. Hence, these control strategies are unable to handle conditions when the assumed values for the parameters vary significantly from their real values. Moreover, many utilized state feedback control approaches to develop the traffic signal controllers lack the treatment of control and state constraints directly in the design phase. This paper considers robust traffic signal control for uncertain urban road networks. First, parameter uncertainties are integrated into the store-and-forward (SF) model, which is utilized in this paper to describe the flow dynamics for traffic signalized intersections. Then, the uncertain SF model is utilized to design a robust feedback controller by an interpolation-based approach. This approach (i) guarantees robustness against all parameter uncertainties, (ii) handle control and state constraints, and (iii) present a computationally cheap solution. Finally, numerical results for an isolated signalized intersection show a comparison between the developed interpolating controllers and other controllers in the literature. The results demonstrate the performance advantages from applying the robust interpolating controllers.