Title
On The Lyapunov Stability Of Quasistatic Planar Biped Robots
Abstract
We investigate the local motion of a planar rigid body with unilateral constraints in the neighborhood of a two-contact frictional equilibrium configuration on a slope. A new sufficient condition of Lyapunov stability is developed in the presence of arbitrary external forces. Additionally, we construct an example, which is stable against perturbations by infinitesimal forces, but does not possess Lyapunov stability against infinitesimal displacements or impulses. The great difference between previous stability criteria and ours leads to further questions about the nature of the exact stability condition.
Year
DOI
Venue
2012
10.1109/ICRA.2012.6225139
2012 IEEE INTERNATIONAL CONFERENCE ON ROBOTICS AND AUTOMATION (ICRA)
Keywords
Field
DocType
stability,plastics,friction,acceleration,rigid body
Control theory,Quasistatic process,Lyapunov stability,Control engineering,Rigid body,Planar,Acceleration,Robot,Mathematics,Infinitesimal,Perturbation (astronomy)
Conference
Volume
Issue
ISSN
2012
1
1050-4729
Citations 
PageRank 
References 
4
0.44
14
Authors
3
Name
Order
Citations
PageRank
Péter L. Várkonyi1234.81
David Gontier2102.08
Burdick, J.W.32988516.87