2017
DOI: 10.1007/978-3-319-75011-8
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Fast Radial Basis Functions for Engineering Applications

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Cited by 91 publications
(73 citation statements)
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“…The implementation of the adaptive NNs eliminates the phase of offline training, and it also eliminates the requirement of the exact structure of disturbances or robot dynamics. In particular, the radialbased-function (RBF) [28], NNs is employed in this paper as M M M(q q q)q q q r +C C C(q q q,q q q)q q q r +g g g(q q q) = W W W θ θ θ (q q q,q q q,q q q r ,q q q r )+E E E, (17) where W W W is the ideal weight matrix, θ θ θ (·) is the activation function, and E E E is the vector of approximation error.…”
Section: B Modeling and Planningmentioning
confidence: 99%
“…The implementation of the adaptive NNs eliminates the phase of offline training, and it also eliminates the requirement of the exact structure of disturbances or robot dynamics. In particular, the radialbased-function (RBF) [28], NNs is employed in this paper as M M M(q q q)q q q r +C C C(q q q,q q q)q q q r +g g g(q q q) = W W W θ θ θ (q q q,q q q,q q q r ,q q q r )+E E E, (17) where W W W is the ideal weight matrix, θ θ θ (·) is the activation function, and E E E is the vector of approximation error.…”
Section: B Modeling and Planningmentioning
confidence: 99%
“…Extensive literature dealing with RBFs can be retrieved in dedicated textbooks or online . In this section, a brief excursus about RBF basics is reported in order to facilitate the understanding of the proposed mapping algorithm.…”
Section: Mathematical Backgroundmentioning
confidence: 99%
“…A parametric C-type structured mesh is built near the airfoil, surrounded by an unstructured triangular mesh (figure 3a). The mesh is adapted onto the new shape using a radial basis function mesh morphing software (RBF Morph Ansys Fluent Add On) for every tested geometry according to the approach presented in (Biancolini, Viola, and Riotte 2014;Biancolini, Costa, et al 2016;Biancolini 2018) . For each Re, the grid is uniformly scaled in order to achieve a non-dimensional wall-coordinate y + ≤ 0.5.…”
Section: D Urans Solver Setupmentioning
confidence: 99%