2010 IEEE International Conference on Robotics and Automation 2010
DOI: 10.1109/robot.2010.5509879
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Optimal ball pitching with an underactuated model of a human arm

Abstract: A new approach for solving an optimal control problem of ball pitching with an underactuated human-like robot arm is proposed. The system dynamics is simplified to a planar two-link robot with actuation only at the shoulder joint and a passive spring at the elbow joint representing the stiffness of the arm. The objective is to accelerate the ball from an initial configuration at rest in such a way that the projection of its velocity along a certain elevation angle is maximal at a predefined release line. The s… Show more

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Cited by 15 publications
(13 citation statements)
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“…Motion planning algorithms are exploited in a wide range of applications including industrial robotics, bioinformatics [6], and gaming/virtual reality [7]. The analytical approaches [8] rely heavily on analyzing the equations of motion and constraints on the system, which makes it difficult to handle new scenarios. Unfortunately, the general motion planning problem is known to be PSPACE-hard [9,10].…”
Section: Motion Planningmentioning
confidence: 99%
“…Motion planning algorithms are exploited in a wide range of applications including industrial robotics, bioinformatics [6], and gaming/virtual reality [7]. The analytical approaches [8] rely heavily on analyzing the equations of motion and constraints on the system, which makes it difficult to handle new scenarios. Unfortunately, the general motion planning problem is known to be PSPACE-hard [9,10].…”
Section: Motion Planningmentioning
confidence: 99%
“…Other researchers have used the subject of throwing for robot's arms [1] [2], hopping [3] or as a new method for transportation of objects [4] [5].…”
Section: Introductionmentioning
confidence: 99%
“…Young [1969]), so that necessary and in the best case sufficient conditions can be derived. In our previous work (Mettin et al [2010]) related to optimal ball pitching with an underactuated two-link arm, we suggested a procedure that leads to analytical expressions for a Lagrangian-type performance index whose necessary condition of optimality is a nonlinear differential equation that governs the geometric relation between the links along an optimal trajectory. Even though the motion planning task was reformulated to a finite-dimensional search for the corresponding initial conditions, numerical difficulties did not allow to solve this equation in large intervals.…”
Section: Introductionmentioning
confidence: 99%