Designing continuous delay feedback control for lattice hydrodynamic model under cyber-attacks and connected vehicle environment.

• A lattice hydrodynamic model under cyber-attacks and connected vehicle environment. • The stability condition is obtained based on the Hurwitz criteria and the H ∞ - norm. • A continuous delay feedback controller is designed to suppress traffic congestion. • The influences of the weight of cyber-attacks and delay time are investigated. • We explore how far ahead information about the downstream lattices should be integrated into the control process. The rapid adoption of sensors has improved the communication capacity of vehicles, while connected vehicles are expected to become commercially available in the near future. In a connected vehicle environment, the dynamic continuous kinetic information on roadway could be readily available through sensors and internet of vehicular technologies. Nevertheless, in practice the vehicular networks may suffer from cyber-attacks, such that the perceived traffic data can deviate from the actual situation. Such potential risks may greatly worsen traffic condition. There is increasing need for developing a framework to control traffic flow effectively using continuous traffic information under cyber-attacks and connected vehicle environment. In this study, we propose an extended lattice model incorporating not only multiple connected vehicles but also the continuous delay feedback control signals. The stability condition is obtained based on the Hurwitz criteria and the H ∞ - norm. We further devise a continuous delay feedback controller to regularize the propagation of the enhanced lattice model in the case when the stability condition is not satisfied. The Bode-plot of transfer function shows that the stability region enhances with the continuous delayed feedback controller. We study how far ahead information about the downstream lattices should be integrated into the control process. Results show that the continuous traffic information and the controller contribute to mitigating traffic jam. [ABSTRACT FROM AUTHOR]