Consensus-Based Approach for Perimeter Control of Urban Road Traffic Networks

Continuous increasing of traffic demands often more than the network supply is the primary reason of traffic congestion. Recently, the existence of macroscopic fundamental diagram in urban traffic network has been validated and moreover activated the researches for the perimeter control of the network. Then, the centralized state-feedback design approach for the perimeter control of the network, with consensus-based control objective, is developed in this paper, which can realize the balance of network flows and moreover guarantee the maximum network capacity in saturated state of the network. A state-space model of the network perimeter control, with link occupancies as state variables and perimeter flows as control inputs, is first proposed. Furthermore, the consensus- based state-feedback control design approach is developed by using partial stability theory, and the consensus decision function of the closed-loop system can be analytically computed. Also, the distributed signal control approach of the network under the proposed perimeter control law is proposed, realizing the integration of the perimeter and signal control of the network.