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Kiss, Adam K.; Avedisov, Sergei S.; Bachrathy, Daniel; Orosz, Gábor

On the global dynamics of connected vehicle systems. (English) Zbl 1437.70046

Nonlinear Dyn. 96, No. 3, 1865-1877 (2019).
Summary: In this contribution, heterogeneous connected vehicle systems, that include human-driven as well as connected automated vehicles, are investigated. The reaction time delay of human drivers as well as the communication and actuation delays of connected automated vehicles is incorporated in the model. Saturations due to the speed limit and limited acceleration capabilities of the vehicles are also taken into account. The arising nonlinear delayed system is studied using analytical and numerical bifurcation analysis. Stability analysis is used to identify regions in parameter space where oscillations arise due to loss of linear stability of the equilibrium. Moreover, with the help of numerical continuation, bistability between the equilibrium and oscillations is shown to exist due to the presence of an isola. It is demonstrated that utilizing long-range wireless vehicle-to-vehicle communication the connected automated vehicle is able to eliminate the oscillations and keep the traffic flow smooth.

Cited in 6 Documents

MSC:

70Q05 Control of mechanical systems
76A30 Traffic and pedestrian flow models
93C85 Automated systems (robots, etc.) in control theory

Keywords:

time delays; bistability; vehicle-to-vehicle communication; connected automated vehicle; beyond-line-of-sight information; acceleration saturation

Software:

DDE-BIFTOOL
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References:

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