2023
DOI: 10.1007/978-3-031-22731-8_4
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Approximating Robot Reachable Space Using Convex Polytopes

Abstract: This paper presents an approach for approximating the reachable space of robotic manipulators based on convex polytopes. The proposed approach predicts the reachable space over a given time horizon based on the robot's actuation limits and kinematic constraints. The approach is furthermore extended to integrate the robot's environment, assuming it can be expressed in a form of linear constraints, and to account for the robot's link geometry. The accuracy of the proposed method is evaluated using simulations of… Show more

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Cited by 2 publications
(3 citation statements)
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“…pycapacity has been used in several scientific papers, for real-time control of collaborative carrying using two Franka Emika Panda robots (Skuric et al, 2021), for developing an assist-asneeded control strategy for collaborative carrying task of the human operator and the Franka robot (Skuric et al, 2022). The package has also been used to calculate the approximation of the robot's reachable space using convex polytope (Skuric et al, 2023). On the other hand, the package has been used for the biomechanical calibration of the human musculoskeletal models (Laisné et al, 2023).…”
Section: Statement Of Needmentioning
confidence: 99%
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“…pycapacity has been used in several scientific papers, for real-time control of collaborative carrying using two Franka Emika Panda robots (Skuric et al, 2021), for developing an assist-asneeded control strategy for collaborative carrying task of the human operator and the Franka robot (Skuric et al, 2022). The package has also been used to calculate the approximation of the robot's reachable space using convex polytope (Skuric et al, 2023). On the other hand, the package has been used for the biomechanical calibration of the human musculoskeletal models (Laisné et al, 2023).…”
Section: Statement Of Needmentioning
confidence: 99%
“…• Robot's reachable space approximation in the desired horizon of interest Δ𝑡 ℎ using the convex polytope formulation 𝑃 𝑥 , described in the paper by (Skuric et al, 2023)…”
Section: Polytopesmentioning
confidence: 99%
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