2009 IEEE International Conference on Robotics and Automation 2009
DOI: 10.1109/robot.2009.5152293
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Prioritizing linear equality and inequality systems: Application to local motion planning for redundant robots

Abstract: We present a novel method for prioritizing both linear equality and inequality systems and provide one algorithm for its resolution. This algorithm can be summarized as a sequence of optimal resolutions for each linear system following their priority order. We propose an optimality criterion that is adapted to linear inequality systems and characterize the resulting optimal sets at every priority level. We have successfully applied our method to plan local motions for the humanoid robot HPR-2. We will demonstr… Show more

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Cited by 88 publications
(85 citation statements)
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“…While robotic arms were composed of six articulated bodies, some of the humanoid robots now feature more than 40 degrees of freedom. To control the motion of such structures, special numerical frameworks have been proposed (Liégeois 1977;Nakamura 1991;Siciliano and Slotine 1991;Baerlocher and Boulic 2004;Khatib et al 2004;Mansard and Chaumette 2007;Kanoun et al 2009) allowing real-time control based on desired dynamic or kinematic goals.…”
Section: Introductionmentioning
confidence: 99%
“…While robotic arms were composed of six articulated bodies, some of the humanoid robots now feature more than 40 degrees of freedom. To control the motion of such structures, special numerical frameworks have been proposed (Liégeois 1977;Nakamura 1991;Siciliano and Slotine 1991;Baerlocher and Boulic 2004;Khatib et al 2004;Mansard and Chaumette 2007;Kanoun et al 2009) allowing real-time control based on desired dynamic or kinematic goals.…”
Section: Introductionmentioning
confidence: 99%
“…Introducing different constraints for restricting motion could introduce conflicts, in which case it could be necessary to prioritize [18]. In this paper we do not explicitly consider priorities, however by changing weights and introducing slack variables this could be considered.…”
Section: Related Workmentioning
confidence: 99%
“…Equation (4) can be minimized efficiently using a Linear Quadratic Program. More details on WBC can be found in [12], [2], [3].…”
Section: A Whole-body Controlmentioning
confidence: 99%