Periodic gaits and flip bifurcation of a biped robot walking on level ground with two feasible switching patterns of motion

Author:

Zhou Guanfeng1,Jiang Bo1,Long Tengfei1,Jiang Guirong2ORCID

Affiliation:

1. School of Electronic Engineering and Automation, Guilin University of Electronic Technology, Guilin 541004, People’s Republic of China

2. School of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin 541004, People’s Republic of China

Abstract

In this article, a biped robot walking on horizontal ground with two feasible switching patterns of motion (two-phase gait and three-phase gait) is presented. By using the first-order Taylor approximate at the equilibrium point, a simplified linear continuous dynamic equation is obtained to discuss the walking dynamics of the biped robot. Conditions for the existence and stability of period-1 gaits ( P ( 1 , 2 ) , P ( 1 , 3 ) ) and period-2 gaits ( P ( 2 , 2 , 2 ) , P ( 2 , 2 , 3 ) , P ( 2 , 3 , 3 ) ) are obtained by using a discrete map. Among the periodic gaits, the P ( 2 , 2 , 3 ) type gait has never been reported in previous studies. Flip bifurcation of periodic gait is investigated. Numerical results for periodic gaits and bifurcation diagram are in good agreement with the theoretical analysis.

Funder

National Natural Science Foundation of China

Natural Science Foundation of Guangxi Province

Publisher

The Royal Society

Subject

General Physics and Astronomy,General Engineering,General Mathematics

Reference32 articles.

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Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Investigation of the Compass Biped Walker's Passive Dynamics and Trajectory Tracking Method for Chaos Control;2023 IEEE International Conference on Advanced Systems and Emergent Technologies (IC_ASET);2023-04-29

2. Periodic gaits and flip bifurcation of a biped robot walking on level ground with two feasible switching patterns of motion;Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences;2023-02

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