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Model Predictive Control for Urban Traffic Signals with Stability Guarantees

by Tong Liu, Qichao Wang, Hong Wang, Zhongping Jiang
Publication Type
Conference Paper
Book Title
2023 Proceedings of the Conference on Control and its Applications (CT)
Publication Date
Page Numbers
64 to 71
Publisher Location
Pennsylvania, United States of America
Conference Name
SIAM Conference on Control and Its Applications (CT23)
Conference Location
Philadelphia, Pennsylvania, United States of America
Conference Sponsor
Society for Industrial and Applied Mathematics
Conference Date

Traditional traffic signal control focuses more on the optimization aspects whereas the stability and robustness of the closed-loop system are less studied. This paper aims to establish the stability properties of traffic signal control systems through the analysis of a practical model predictive control (MPC) scheme, which models the traffic network with the conservation of vehicles based on a store-andforward model and attempts to balance the traffic densities. More precisely, this scheme guarantees the exponential stability of the closed-loop system under state and input constraints when the inflow is feasible and traffic demand can be fully accessed. Practical exponential stability is achieved in case of small uncertain traffic demand by a modification of the previous scheme. Simulation results of a small-scale traffic network validate the theoretical analysis.