## Abstract In this paper, we examine the control of robot manipulators utilizing a Radial Basis Function (RBF) neural network. We are able to remove the typical requirement of Persistence of Excitation (PE) for the desired trajectory by introducing an __error minimizing deadβzone__ in the learning
Reformulated radial basis function neural networks with adjustable weighted norms
β Scribed by Mary M. Randolph-Gips; Nicolaos B. Karayiannis
- Publisher
- John Wiley and Sons
- Year
- 2003
- Tongue
- English
- Weight
- 201 KB
- Volume
- 18
- Category
- Article
- ISSN
- 0884-8173
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β¦ Synopsis
This article presents a new family of reformulated radial basis function (RBF) neural networks that employ adjustable weighted norms to measure the distance between the training vectors and the centers of the radial basis functions. The reformulated RBF model introduced in this article incorporates norm weights that can be updated during learning to facilitate the implementation of the desired input-output mapping. Experiments involving classification and function approximation tasks verify that the proposed RBF neural networks outperform conventional RBF neural networks and reformulated RBF neural networks employing fixed Euclidean norms. Reformulated RBF neural networks with adjustable weighted norms are also strong competitors to conventional feedforward neural networks in terms of performance, implementation simplicity, and training speed.
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Efficient interference cancellation often requires nonlinear processing of a reference signal. In this paper, hyper radial basis function (HRBF) neural networks for adaptive interference cancellation is developed. We show that the HRBF networks, with an appropriate learning algorithm, is able to app