English

An Iterative Algorithm to Symbolically Derive Generalized n-Trailer Vehicle Kinematics

Robotics 2025-05-27 v1 Systems and Control Systems and Control

Abstract

Articulated multi-axle vehicles are interesting from a control-theoretic perspective due to their peculiar kinematic offtracking characteristics, instability modes, and singularities. Holonomic and nonholonomic constraints affecting the kinematic behavior is investigated in order to develop control-oriented kinematic models representative of these peculiarities. Then, the structure of these constraints is exploited to develop an iterative algorithm to symbolically derive yaw-plane kinematic models of generalized nn-trailer articulated vehicles with an arbitrary number of multi-axle vehicle units. A formal proof is provided for the maximum number of kinematic controls admissible to a large-scale generalized articulated vehicle system, which leads to a generalized Ackermann steering law for nn-trailer systems. Moreover, kinematic data collected from a test vehicle is used to validate the kinematic models and, to understand the rearward yaw rate amplification behavior of the vehicle pulling multiple simulated trailers.

Keywords

Cite

@article{arxiv.2504.00315,
  title  = {An Iterative Algorithm to Symbolically Derive Generalized n-Trailer Vehicle Kinematics},
  author = {Yuvraj Singh and Adithya Jayakumar and Giorgio Rizzoni},
  journal= {arXiv preprint arXiv:2504.00315},
  year   = {2025}
}
R2 v1 2026-06-28T22:41:37.482Z