2014
DOI: 10.21236/ada609276
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Footstep Planning on Uneven Terrain with Mixed-Integer Convex Optimization

Abstract: Abstract-We present a new method for planning footstep placements for a robot walking on uneven terrain with obstacles, using a mixed-integer quadratically-constrained quadratic program (MIQCQP). Our approach is unique in that it handles obstacle avoidance, kinematic reachability, and rotation of footstep placements, which typically have required non-convex constraints, in a single mixed-integer optimization that can be efficiently solved to its global optimum. Reachability is enforced through a convex inner a… Show more

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Cited by 157 publications
(176 citation statements)
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“…To diminish the influence of the substrate irregularities, ants may use specialized adhesive tarsal pads that secure foot attachment [22] and benefit from polypedalism, which improves passive recovery from impulsive disruptions [8,9,48]. With neuromechanical and robotic control research often focusing on accurate foot placement [49] or navigational planning [50], our findings highlight the potential for developing decentralized mechanisms for navigating uneven terrain. Further, we show that ants in the field seek out substrates that enable faster walking speeds.…”
Section: Discussionmentioning
confidence: 99%
“…To diminish the influence of the substrate irregularities, ants may use specialized adhesive tarsal pads that secure foot attachment [22] and benefit from polypedalism, which improves passive recovery from impulsive disruptions [8,9,48]. With neuromechanical and robotic control research often focusing on accurate foot placement [49] or navigational planning [50], our findings highlight the potential for developing decentralized mechanisms for navigating uneven terrain. Further, we show that ants in the field seek out substrates that enable faster walking speeds.…”
Section: Discussionmentioning
confidence: 99%
“…Recently searching over continuous space rather than over a discrete graph has been gaining interest. One of the earlier works of actually fielded continuous space algorithms used a mixed integer quadratic program (MIQP) to compute footstep plans [7]. Like in [8], this approach requires a smart segmentation of the environment into convex regions in order to be tractable.…”
Section: Related Workmentioning
confidence: 99%
“…Exteroceptive-based perception (vision and range sensing) methods were developed during the DRC 2015, for footstep planning on flat uneven outdoors terrain. In [8], [26], a real-time optimization-based state estimation system was introduced for the ATLAS humanoids robot, where stereo fusion was used for planning locomotion on rough planar terrain, by extracting planar contact surfaces for navigation. In a different direction, a graph-based footstep planner was used in [27], [28], [29], using LiDAR/range environment data.…”
Section: Related Workmentioning
confidence: 99%