Control and Planning of 3-D Dynamic Walking With Asymptotically Stable Gait Primitives

In this paper, we present a hierarchical framework that enables motion planning for asymptotically stable 3-D bipedal walking in the same way that planning is already possible for zero moment point walking. This framework is based on the construction of asymptotically stable gait primitives for a cl...

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Bibliographic Details
Published in:IEEE transactions on robotics 2012-12, Vol.28 (6), p.1415-1423
Main Authors: Gregg, R. D., Tilton, A. K., Candido, S., Bretl, T., Spong, M. W.
Format: Article
Language:English
Subjects:
3-D technology
Applied sciences
Asymptotic stability
Computer science
control theory
systems
Control theory. Systems
Dynamical systems
Exact sciences and technology
Legged locomotion
Limit-cycles
Path planning
robot control
Robotics
Robots
Stability analysis
Switched systems
System theory
Walking
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Summary:In this paper, we present a hierarchical framework that enables motion planning for asymptotically stable 3-D bipedal walking in the same way that planning is already possible for zero moment point walking. This framework is based on the construction of asymptotically stable gait primitives for a class of hybrid dynamical systems with impacts. Each primitive corresponds to an asymptotically stable hybrid limit cycle that admits rules a priori for sequential composition with other primitives, reducing a high-dimensional feedback motion planning problem into a low-dimensional discrete tree search. As a constructive example, we develop this planning framework for the 3-D compass-gait biped, where each primitive corresponds to walking along an arc of constant curvature for a fixed number of steps. We apply a discrete search algorithm to plan a sequence of these primitives, taking the 3-D biped stably from start to goal in workspaces with obstacles. We finally show how this framework generalizes to more complex models by planning walking paths for an underactuated five-link biped.
ISSN:1552-3098
1941-0468
DOI:10.1109/TRO.2012.2210484