Stable adaptive control with recurrent networks

  • Authors:
  • Grzegorz J. Kulawski;Mietek A. Brdy

  • Affiliations:
  • Shell International Exploration and Production B.V., Research and Technical Services, Volmerlaan 8, P.O. Box 60, 2280 AB Rijswijk, The Netherlands;School of Electronic and Electrical Engineering, The University of Birmingham, Edgbaston, Birmingham B15 2TT, UK

  • Venue:
  • Automatica (Journal of IFAC)
  • Year:
  • 2000

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Abstract

An adaptive control technique for nonlinear stable plants with unmeasurable state is presented. It is based on a recurrent neural network employed as a dynamical model of the plant. Using this dynamical model, a feedback linearizing control is computed and applied to the plant. Parameters of the model are updated on-line to allow for partially unknown and time-varying plant. The stability of the scheme is shown theoretically, and its performance and limitations of the assumptions are illustrated in simulations. It is argued that appropriately structured recurrent neural networks can provide conveniently parameterized dynamic models for many nonlinear systems for use in adaptive control.