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First Results on Stable Adaptive Robot Control with RBF Networks

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ICANN ’93 (ICANN 1993)

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Abstract

We present a method to use RBF networks for stable adaptive robot control, with the task to track prescribed joint trajectories. The controller architecture is based on the concept of feedback linearization. The RBF networks serve as the model-based controller part. The learning rule is derived from a Lyapunov-based stability criterion to assure global stability at all times. Bounds on network approximation errors, which are essential to validate the stability proof, are established with the help of multidimensional sampling theory. Training the networks with point-to-point movements between randomly generated locations leads to a trajectory independent controller over the complete working range. Simulation results for a planar 4-joint manipulator (4JM) are given to demonstrate the performance of this control method.

Supported by Federal Ministry for Research and Technology, under grant 01 IN 105 A/0

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References

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© 1993 Springer-Verlag London Limited

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Beerhold, J.R., Jansen, M., Eckmiller, R. (1993). First Results on Stable Adaptive Robot Control with RBF Networks. In: Gielen, S., Kappen, B. (eds) ICANN ’93. ICANN 1993. Springer, London. https://doi.org/10.1007/978-1-4471-2063-6_68

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  • DOI: https://doi.org/10.1007/978-1-4471-2063-6_68

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  • Publisher Name: Springer, London

  • Print ISBN: 978-3-540-19839-0

  • Online ISBN: 978-1-4471-2063-6

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