Modeling, control and robustness analysis for a road sector

When modeling a real process the effects of nonlinearities must be taken into account, especially when designing a control algorithm. Such is the case of a road traffic sector, which will be considered from a macroscopic point of view. An input-output model is proposed, based on experimental data, and then a control algorithm is used to obtain imposed performances for the closed loop system. The robustness of control is taken into account, by assessing the modulus margin. Based on this indicator the robustness of the control law is analyzed in order to find what nonlinearities it can cope with. Following, we try to prove that the system can be controlled using the same algorithm, when different types of perturbations affect the system.