Combination of H∞ perimeter control and route guidance for heterogeneous urban road networks

Abstract

Due to the effects of capacity differences and other factors, congestion may occur at local nodes of a network. This situation reduces the reliability of the network and leads to regional deadlock. To improve system stability and reduce the influence of local road network heterogeneity on traffic efficiency, a macroscopic fundamental diagram (MFD) model of a nonuniform density road network is proposed. Second, based on the MFD model, a two-level strategy for H∞ perimeter control and traffic flow regulation is proposed. The upper layer uses an H∞ controller to adjust the inflow at the boundary of congested region. The lower layer uses a traffic density regulator (TDR) inside the region. Finally,a simulation is conducted to compare with traditional H∞ control, bang-bang-TDR, PI-TDR and MPC-TDR strategy. The results show that the H∞-TDR strategy proposed in this paper can improve operation efficiency and reduce delay in network.

KEYWORDS:

• Traffic flow
• traffic congestion
• macroscopic fundamental diagram
• perimeter control
• H∞ control

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

This research was financially supported by the National Natural Science Foundation of China [grant number 52072108] and the Municipal Natural Science Foundation of Hefei [grant number 2022020] and Zhejiang Provincial Department of Transportation, Jiangsu Provincial Transportation Technology and Achievement Transformation Project [No.2023Y06].