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Time-scaling control and passive walking of bipeds with underactuation degree one

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

6 Scopus citations

Abstract

The paper develops a feedback control law that results in periodic orbits on different slopes for an n degree-offreedom biped robot with one degree of underactuation. This is achieved by introducing the time-scaling control approach to translate a periodic orbit for a passive robot, which exists on a specific shallow slope, to other slopes. The resulting periodic orbits on other slopes, if exist, are the same as those orbits generated by controlled symmetries for full actuated bipeds in geometry. The temporal solutions are influenced by a onedegree subsystem related to the evolution of virtual time that scales the passive gait. Necessary and sufficient conditions are investigated for the existence and stability properties of periodic orbits on different slopes with the proposed control law. Finally, the proposed method is illustrated by two underactuated compass biped robots.

Original languageEnglish
Title of host publication2010 49th IEEE Conference on Decision and Control, CDC 2010
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages1116-1121
Number of pages6
ISBN (Print)9781424477456
DOIs
StatePublished - 2010
Externally publishedYes
Event49th IEEE Conference on Decision and Control, CDC 2010 - Atlanta, United States
Duration: 15 Dec 201017 Dec 2010

Publication series

NameProceedings of the IEEE Conference on Decision and Control
ISSN (Print)0743-1546
ISSN (Electronic)2576-2370

Conference

Conference49th IEEE Conference on Decision and Control, CDC 2010
Country/TerritoryUnited States
CityAtlanta
Period15/12/1017/12/10

Keywords

  • Biped robot
  • Passive walking
  • Underactuation

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