ICANN ’93 pp 297-300 | Cite as

First Results on Stable Adaptive Robot Control with RBF Networks

  • J. R. Beerhold
  • M. Jansen
  • R. Eckmiller
Conference paper


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.


Global Stability MIMO System Radial Basis Function Network Feedback Linearization Stability Proof 
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Copyright information

© Springer-Verlag London Limited 1993

Authors and Affiliations

  • J. R. Beerhold
    • 1
  • M. Jansen
    • 1
  • R. Eckmiller
    • 1
  1. 1.Dept. of Computer Science VI (Neuroinformatics)University of BonnFR Germany

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