Online Trajectory Deformation and Tracking for Self-Entanglement-Free Differential-Driven Robots

This paper introduces an optimisation-based trajectory deformation and tracking algorithm for tethered differential-driven mobile robots. The motivation of this work is to generate self-entanglement-free (SEF) commands for a tethered differential-driven robot to track a path. Whilst existing path planner has been capable of generating SEF paths for tethered differential-driven robots lacking an omni-directional tether retracting mechanism, no trajectory planner can handle the unavoidable movement errors that cause robot pose deviate from the pre-defined path. The trajectory deformation and tracking is challenging because the admissible heading direction of the robot is highly constrained by the SEF constraint. As a result, even with an SEF path, the robot still encounters self-entanglement issues during execution.