English

About string stability of a vehicle chain with unidirectional controller

Optimization and Control 2018-10-31 v1

Abstract

This paper deals with the problem of string stability in a chain of acceleration-controlled vehicles. It is known that string stability cannot be achieved, with any linear controller, when the vehicles' control inputs are based on relative distances to a fixed number of predecessors. We extend the set of impossible settings by including elements like dynamic sensor parts and local inter-vehicular communication, as in cooperative adaptive cruise control. It is also known that a weaker form of string stability is achievable by adding absolute velocity measurements (e.g. "time-headway" policy). We show that a stronger property can also be achieved, provided steady-state control gain is infinite e.g. by using integral control.

Keywords

Cite

@article{arxiv.1810.12616,
  title  = {About string stability of a vehicle chain with unidirectional controller},
  author = {Arash Farnam and Alain Sarlette},
  journal= {arXiv preprint arXiv:1810.12616},
  year   = {2018}
}
R2 v1 2026-06-23T04:57:20.731Z