English

Pitchfork-bifurication-based competitive and collaborative control of an E-bike system

Optimization and Control 2021-09-27 v1

Abstract

This paper is concerned with the design of a human-in-the-loop system for deployment on a smart pedelec (e-bike). From the control-theoretic perspective, the goal is not only to use the power assistance of the e-bike to reject disturbances along the route but also to manage the possibly competitive interactions between a human and the motor intervention. Managing the competitive/cooperative nature of the interactions is crucial for applications in which we wish to control physical aspects of the cycling behavior (e.g. heart rate and breathing rate). The basis of the control is a pitchfork bifurcation system, modeling the interactions, augmented using ideas from gain-scheduling. In vivo experiments have been conducted, showing the effectiveness of the proposed control strategy.

Cite

@article{arxiv.2109.11582,
  title  = {Pitchfork-bifurication-based competitive and collaborative control of an E-bike system},
  author = {Shaun Sweeney and Hugo Lhachemi and Andrew Mannion and Giovanni Russo and Robert Shorten},
  journal= {arXiv preprint arXiv:2109.11582},
  year   = {2021}
}

Comments

7 figures

R2 v1 2026-06-24T06:16:25.842Z