Increasing traffic volume with respect to physical space motivates explicit consideration of space constraint in traffic system analysis. We study dynamics of a system of homogeneous vehicles executing safe vehicle following on a closed single lane ring road. Dynamics of each vehicle is governed by a standard second order model and a two mode vehicle following controller. One mode is cruise control and the other is a constant time headway control for safety; switching between modes is determined by a linear combination of relative distance and speed. We show that there exists a threshold value for the number of vehicles at which the equilibria for inter-vehicle configurations transition from being infinite to being unique. We explicitly characterize the unique equilibrium in the latter case as well as the threshold value for transition in terms of system parameters (road length, constant time headway and free flow speed). We also show that, starting from any initial condition, the inter-vehicle configuration converges to an equilibrium. The threshold value for the number of vehicles is also shown to define the boundary of when the transfer function from external disturbance to error in relative spacing changes.
Vehicle Following Over a Closed Ring Road under Safety Constraint
2020-10-19
407191 byte
Conference paper
Electronic Resource
English
VEHICLE FOLLOWING OVER A CLOSED RING ROAD UNDER SAFETY CONSTRAINT
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