M. Kontorinaki, I. Karafyllis and M. Papageorgiou, "Nonlinear feedback control for general acyclic traffic networks," in 20th IFAC World Congress, 2017, pp. 5448-5455. doi: 10.1016/j.ifacol.2017.08.613
https://doi.org/10.1016/j.ifacol.2017.08.613
This work is devoted to the construction of explicit feedback control laws for the robust global exponential stabilization of general uncertain discrete-time acyclic traffic networks. We consider discrete-time uncertain network models which satisfy very weak assumptions. The construction of the controllers is based on recently proposed vector-Lyapunov function criteria, as well as the fact that the network is acyclic. The latter requirement is necessary for the existence of a robust, global, exponential stabilizer of the desired uncongested equilibrium point of the network. An illustrative example demonstrates the applicability of the obtained results to realistic traffic ow networks.