Capturability-based analysis and control of legged locomotion, Part 1: Theory and application to three simple gait models
Top Cited Papers
- 3 July 2012
- journal article
- Published by SAGE Publications in The International Journal of Robotics Research
- Vol. 31 (9), 1094-1113
- https://doi.org/10.1177/0278364912452673
Abstract
This two-part paper discusses the analysis and control of legged locomotion in terms of N-step capturability: the ability of a legged system to come to a stop without falling by taking N or fewer steps. We consider this ability to be crucial to legged locomotion and a useful, yet not overly restrictive criterion for stability. In this part (Part 1), we introduce a theoretical framework for assessing N-step capturability. This framework is used to analyze three simple models of legged locomotion. All three models are based on the 3D Linear Inverted Pendulum Model. The first model relies solely on a point foot step location to maintain balance, the second model adds a finite-sized foot, and the third model enables the use of centroidal angular momentum by adding a reaction mass. We analyze how these mechanisms influence N-step capturability, for any N > 0. Part 2 will show that these results can be used to control a humanoid robot.Keywords
This publication has 54 references indexed in Scilit:
- Balance responses to lateral perturbations in human treadmill walkingJournal of Experimental Biology, 2010
- Human Foot Placement and Balance in the Sagittal PlaneJournal of Biomechanical Engineering, 2009
- Ankle and hip strategies for balance recovery of a biped subjected to an impactRobotica, 2008
- Ground Reference Points in Legged Locomotion: Definitions, Biological Trajectories and Control ImplicationsThe International Journal of Robotics Research, 2005
- RABBIT: a testbed for advanced control theoryIEEE Control Systems, 2003
- Prediction of stable walking for a toy that cannot standPhysical Review E, 2001
- Postural Stability of Biped Robots and the Foot-Rotation Indicator (FRI) PointThe International Journal of Robotics Research, 1999
- The control of foot placement during compensatory stepping reactions: does speed of response take precedence over stability?IEEE Transactions on Rehabilitation Engineering, 1999
- Age Differences in Using a Rapid Step To Regain Balance During a Forward FallThe Journals of Gerontology, Series A: Biological Sciences and Medical Sciences, 1997
- On the stability of anthropomorphic systemsMathematical Biosciences, 1972