Parameter influence on passive dynamic walking of a robot with flat feet

Xiangze Lin; Haibo Du; Shihua Li

Kybernetika (2013)

  • Volume: 49, Issue: 5, page 792-808
  • ISSN: 0023-5954

Abstract

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The biped robot with flat feet and fixed ankles walking down a slope is a typical impulsive dynamic system. Steady passive gaits for such mechanism can be induced on certain shallow slopes without actuation. The steady gaits can be described by using stable non-smooth limit cycles in phase plane. In this paper, it is shown that the robot gaits are affected by three parameters, namely the ground slope, the length of the foot, and the mass ratio of the robot. As the ground slope is gradually increased, the gaits exhibit universal period doubling bifurcations leading to chaos. Meanwhile, the phenomena of period doubling bifurcations also occur by increasing either the foot length or the mass ratio of the robot. Theory analysis and numerical simulations are given to verify our conclusion.

How to cite

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Lin, Xiangze, Du, Haibo, and Li, Shihua. "Parameter influence on passive dynamic walking of a robot with flat feet." Kybernetika 49.5 (2013): 792-808. <http://eudml.org/doc/260704>.

@article{Lin2013,
abstract = {The biped robot with flat feet and fixed ankles walking down a slope is a typical impulsive dynamic system. Steady passive gaits for such mechanism can be induced on certain shallow slopes without actuation. The steady gaits can be described by using stable non-smooth limit cycles in phase plane. In this paper, it is shown that the robot gaits are affected by three parameters, namely the ground slope, the length of the foot, and the mass ratio of the robot. As the ground slope is gradually increased, the gaits exhibit universal period doubling bifurcations leading to chaos. Meanwhile, the phenomena of period doubling bifurcations also occur by increasing either the foot length or the mass ratio of the robot. Theory analysis and numerical simulations are given to verify our conclusion.},
author = {Lin, Xiangze, Du, Haibo, Li, Shihua},
journal = {Kybernetika},
keywords = {biped robot; impulse dynamic systems; limit cycles; bifurcations; chaos; biped robot; impulse dynamic systems; limit cycles; bifurcations; chaos},
language = {eng},
number = {5},
pages = {792-808},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Parameter influence on passive dynamic walking of a robot with flat feet},
url = {http://eudml.org/doc/260704},
volume = {49},
year = {2013},
}

TY - JOUR
AU - Lin, Xiangze
AU - Du, Haibo
AU - Li, Shihua
TI - Parameter influence on passive dynamic walking of a robot with flat feet
JO - Kybernetika
PY - 2013
PB - Institute of Information Theory and Automation AS CR
VL - 49
IS - 5
SP - 792
EP - 808
AB - The biped robot with flat feet and fixed ankles walking down a slope is a typical impulsive dynamic system. Steady passive gaits for such mechanism can be induced on certain shallow slopes without actuation. The steady gaits can be described by using stable non-smooth limit cycles in phase plane. In this paper, it is shown that the robot gaits are affected by three parameters, namely the ground slope, the length of the foot, and the mass ratio of the robot. As the ground slope is gradually increased, the gaits exhibit universal period doubling bifurcations leading to chaos. Meanwhile, the phenomena of period doubling bifurcations also occur by increasing either the foot length or the mass ratio of the robot. Theory analysis and numerical simulations are given to verify our conclusion.
LA - eng
KW - biped robot; impulse dynamic systems; limit cycles; bifurcations; chaos; biped robot; impulse dynamic systems; limit cycles; bifurcations; chaos
UR - http://eudml.org/doc/260704
ER -

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