Title
Hierarchical quadratic programming: Fast online humanoid-robot motion generation
Abstract
Hierarchical least-square optimization is often used in robotics to inverse a direct function when multiple incompatible objectives are involved. Typical examples are inverse kinematics or dynamics. The objectives can be given as equalities to be satisfied (e.g. point-to-point task) or as areas of satisfaction (e.g. the joint range). This paper proposes a complete solution to solve multiple least-square quadratic problems of both equality and inequality constraints ordered into a strict hierarchy. Our method is able to solve a hierarchy of only equalities 10 times faster than the iterative-projection hierarchical solvers and can consider inequalities at any level while running at the typical control frequency on whole-body size problems. This generic solver is used to resolve the redundancy of humanoid robots while generating complex movements in constrained environments.
Year
DOI
Venue
2014
10.1177/0278364914521306
I. J. Robotic Res.
Keywords
Field
DocType
Inverse kinematics,redundancy,task hierarchy,humanoid robot
Mathematical optimization,Inverse kinematics,Quadratic equation,Redundancy (engineering),Artificial intelligence,Quadratic programming,Solver,Hierarchy,Mathematics,Robotics,Humanoid robot
Journal
Volume
Issue
ISSN
33
7
0278-3649
Citations 
PageRank 
References 
66
2.42
30
Authors
3
Name
Order
Citations
PageRank
Adrien Escande127322.91
Nicolas Mansard249039.67
Pierre-Brice Wieber330222.93