2009 IEEE International Conference on Robotics and Automation 2009
DOI: 10.1109/robot.2009.5152616
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Bouncing an Unconstrained Ball in Three Dimensions with a Blind Juggling Robot

Abstract: We describe the design of a juggling robot that is able to vertically bounce a completely unconstrained ball without any sensing. The robot consists of a linear motor actuating a machined aluminum paddle. The curvature of this paddle keeps the ball from falling off while the apex height of the ball is stabilized by decelerating the paddle at impact. We analyze the mapping of perturbations of the nominal trajectory over a single bounce to determine the design parameters that stabilize the system. The first robo… Show more

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Cited by 27 publications
(26 citation statements)
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References 21 publications
(30 reference statements)
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“…Though the regularization constraints shown in (15) and (16) are effective at addressing these issues, they require human supervision. We plan to explore alternative shape representations that reduce dimensionality, and to develop heuristics for finding more natural regularization constraints of a given task.…”
Section: Discussionmentioning
confidence: 99%
See 1 more Smart Citation
“…Though the regularization constraints shown in (15) and (16) are effective at addressing these issues, they require human supervision. We plan to explore alternative shape representations that reduce dimensionality, and to develop heuristics for finding more natural regularization constraints of a given task.…”
Section: Discussionmentioning
confidence: 99%
“…Reist and D'Andrea. [16,17] optimize the motion and concavity of a paddle juggler capable of stably bouncing a ball without feedback. The approach is limited to the particular application, and the contact manipulation is limited to periodic instantaneous impacts.…”
Section: Related Workmentioning
confidence: 99%
“…Furthermore, negative acceleration seems desirable, as it was shown to lead to stable juggling cycles [13]. However, instead of a parabola we select a sinusoidal excitation motion of the hand, since during contact the considered system is modeled by a second order mass-spring dynamic.…”
Section: A Hand Reference Trajectory For 1 Dof Modelmentioning
confidence: 99%
“…In [12] the first blindly juggling robot was presented. [13] used only a linear motor for juggling without the need of active ball tracking or other feedback, as the lateral motion is stabilized by the shape of the juggling paddle. In [13] the authors compared an H 2 optimal controller with the previous openloop solution, which turned out to have similar performance characteristics.…”
Section: Introductionmentioning
confidence: 99%
“…However, this method requires the knowledge of the ball position and velocity, as well as a model of the ball behavior. An alternative strategy that stabilizes the behavior in a completely open loop behavior by employing a slightly concave paddle shape has been suggested in [Reist and D'Andrea, 2009]. A method similar to the proposed strategy has been employed by Kulchenko [2011] and Müller et al [2011].…”
Section: Bouncing Strategymentioning
confidence: 99%