Cybernetics and Systems Analysis

, Volume 41, Issue 2, pp 302–308 | Cite as

Adaptive Control of Multidimensional Nonlinear Objects on the Basis of Radial-Basis Networks

  • O. G. Rudenko
  • A. A. Bessonov


The problem of adaptive control over multidimensional nonlinear dynamic objects with the use of a neural network model is considered. To train the model, a recurrent least-squares method with exponential weighing of information and, to control an object, the multidimensional Kaczmarz algorithm are used. The results of an experimental investigation of the approach proposed are given.


neural network model training control algorithm 


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  1. 1.
    K. S. Narendra, “Neural networks for control: Theory and practice,” Proc. IEEE, 84, No.10, 1385–1406 (1996).CrossRefGoogle Scholar
  2. 2.
    K. S. Narendra and K. Parthasarathy, “Identification and control of dynamical systems using neural networks,” IEEE Trans. Neural Networks, 1, No.1, 4–26 (1990).CrossRefGoogle Scholar
  3. 3.
    O. Nelles, Nonlinear System Identification, Springer-Verlag, Berlin (2000).Google Scholar
  4. 4.
    N. Sadegh, “A perceptron network for functional identification and control of nonlinear systems,” IEEE Trans. Neural Networks, No. 6, 982–988 (1993).Google Scholar
  5. 5.
    R. M. Sanner and J.-J. E. Slotine, “Gaussian networks for direct adaptive control,” IEEE Trans. Neural Networks, 3, No.6, 837–863 (1992).CrossRefGoogle Scholar
  6. 6.
    Y. Li, N. Sundararajan, and P. Saratchandran, “Analysis of minimal radial basis function network algorithm for real-time identification of nonlinear dynamic systems,” IEE Proc. Contr. Theory Appl., 147, No.4, 476–484 (2000).Google Scholar
  7. 7.
    N. S. Raibman and V. M. Chadeyev, Construction of Models of Production Processes [in Russian], Energiya, Moscow (1975).Google Scholar

Copyright information

© Springer Science+Business Media, Inc. 2005

Authors and Affiliations

  • O. G. Rudenko
    • 1
  • A. A. Bessonov
    • 1
  1. 1.Kharkov National University of RadioelectronicsKharkovUkraine

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