2020 29th IEEE International Conference on Robot and Human Interactive Communication (RO-MAN) 2020
DOI: 10.1109/ro-man47096.2020.9223500
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A novel DMP formulation for global and frame independent spatial scaling in the task space

Abstract: In this work we study the DMP spatial scaling in the Cartesian space. The DMP framework is claimed to have the ability to generalize learnt trajectories to new initial and goal positions, maintaining the desired kinematic pattern. However we show that the existing formulations present problems in trajectory spatial scaling when used in the Cartesian space for a wide variety of tasks and examine their cause. We then propose a novel formulation alleviating these problems. Trajectory generalization analysis, is p… Show more

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Cited by 19 publications
(23 citation statements)
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“…The original DMPs allow translation and scaling of the trajectory, but the rotation in space causes distortion of its shape, because its nonlinearity in the three directions in space is learned separately and performed separately. To solve this problem, Koutras and Doulgeri (2020) modified the original DMPs, which allows the trajectory to be arbitrarily rotated, translated and scaled in space while keeping the shape unchanged. Si et al (2021a) further proposed the following forms of DMPs: This is the representation of a three-dimensional trajectory, where f(s) is the same as the original DMPs, obtained by the demonstration trajectory, and s g is the proportional coefficient, which can be obtained by the following formula: where g and bold-italicxbold-italic0 are the end point and start point of the demonstration trajectory, respectively, and bold-italicgbold-italicd and bold-italicx0,d are the end point and start point of the recreation trajectory, respectively.…”
Section: Methodsmentioning
confidence: 99%
“…The original DMPs allow translation and scaling of the trajectory, but the rotation in space causes distortion of its shape, because its nonlinearity in the three directions in space is learned separately and performed separately. To solve this problem, Koutras and Doulgeri (2020) modified the original DMPs, which allows the trajectory to be arbitrarily rotated, translated and scaled in space while keeping the shape unchanged. Si et al (2021a) further proposed the following forms of DMPs: This is the representation of a three-dimensional trajectory, where f(s) is the same as the original DMPs, obtained by the demonstration trajectory, and s g is the proportional coefficient, which can be obtained by the following formula: where g and bold-italicxbold-italic0 are the end point and start point of the demonstration trajectory, respectively, and bold-italicgbold-italicd and bold-italicx0,d are the end point and start point of the recreation trajectory, respectively.…”
Section: Methodsmentioning
confidence: 99%
“…For producing λ tar , the dynamical systems including external wrenches with learned weights are numerically solved, resulting in a continuous model representation in SE(3). In our work, we applied the revised bio-inspired formulation by Koutras et al [23], [24]. For an in-depth explanation of DMPs see [25].…”
Section: Task Modelmentioning
confidence: 99%
“…1). For encoding and reproducing demonstrated motions, we use Cartesian space Dynamic Movement Primitives (CDMPs) [23] which facilitate a common representation space.…”
Section: Introductionmentioning
confidence: 99%
“…Moreover e a = 0 implies = 0, (which in turn implies Q = Q d ) or η = 0; when η = 0 ( θ = −π), = 0 and hence Q does not track Q d . The logarithmic error ( 25) is gaining popularity in recent research works [16]- [19] as it offers a more mathematically sound approach utilizing the Lie Algebra of S 3 by employing the distance preserving logarithmic mapping.…”
Section: Tracking Control Variantsmentioning
confidence: 99%