2019
DOI: 10.1017/s0263574719001619
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An Online Trajectory Generator on SE(3) for Human–Robot Collaboration

Abstract: Summary With the increasing demand for humans and robots to collaborate in a joint workspace, it is essential that robots react and adapt instantaneously to unforeseen events to ensure safety. Constraining robot dynamics directly on SE(3), that is, the group of 3D translation and rotation, is essential to comply with the emerging Human–Robot Collaboration (HRC) safety standard ISO/TS 15066. We argue that limiting coordinate-independent magnitudes of physical dynamic quantities at the same time allows more i… Show more

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Cited by 8 publications
(7 citation statements)
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References 26 publications
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“…The computational advantage of our strategy, as seen in Figure 5, allows the computation of such a map with, e.g., a resolution of 100 steps in both parameters, s and λ, in under 5 ms. In combination with an online trajectory generator directly on SE(3), e.g., [50], this qualifies our task space manipulability approach to be used for predictive online manipulability optimization, e.g., with a receding horizon.…”
Section: Optimizing Null Space Solution Of Given End-effector Trajectorymentioning
confidence: 88%
See 1 more Smart Citation
“…The computational advantage of our strategy, as seen in Figure 5, allows the computation of such a map with, e.g., a resolution of 100 steps in both parameters, s and λ, in under 5 ms. In combination with an online trajectory generator directly on SE(3), e.g., [50], this qualifies our task space manipulability approach to be used for predictive online manipulability optimization, e.g., with a receding horizon.…”
Section: Optimizing Null Space Solution Of Given End-effector Trajectorymentioning
confidence: 88%
“…related to shoulder and wrist joints. The full intersection set A, as defined in (50), may consist of several separate regions. Directly evaluating all critical values of λ is especially interesting whenever planning a continuous path in task space.…”
Section: Null Space Parameter λmentioning
confidence: 99%
“…Hassan et al [36] review the application of neural networks to finding constrained-optimal solutions of redundant inverse kinematic problems. Arguing that such methods are much too computationally intensive for limiting both velocity and acceleration during real-time path updates, Huber and Wollherr [37] apply such constraints to a power-series expansion of the forward kinematic transformation of combined translation and rotation in 3D Euclidian space (SE3). The rotation portion is conducted by the Magnus expansion, which is related to the Baker-Campbell-Hausdorff (B-C-H) expansion [38].…”
Section: Prior Methodsmentioning
confidence: 99%
“…Keeping a predefined distance between the robot and the human is a safety measurement that will, in all motions, interfere with the robot's path planning. Different types of sensors and several strategies have been adopted to avoid potential collisions by jointly considering aspects of human monitoring and motion planning [44][45][46][47][48][49][50][51][52][53][54][55][56][57][58]. When it comes to physical humanrobot interaction (pHRI), ref.…”
Section: Safety In Hrcmentioning
confidence: 99%