Elsevier

Automatica

Volume 33, Issue 11, November 1997, Pages 1975-1995
Automatica

Regular paper
Adaptive control of nonlinear dynamic systems using θ-adaptive neural networks

https://doi.org/10.1016/S0005-1098(97)00130-1Get rights and content

Abstract

The adaptive control of dynamic systems with nonlinear parametrization is considered. An algorithm based on a neural network, similar to the TANN algorithm proposed in Annaswamy and Yu (1996), is suggested for adjusting the control parameters. The resulting adaptive controller is shown to lead to stability of the closed-loop system. How the neural network is trained off-line in order to lead to closed-loop stability is described in detail. The resulting improvement in performance using this neural controller over other methods proposed in the literature including extended Kalman filter, linear adaptive control, and other neural strategies is demonstrated through simulation studies.

References (43)

  • K. Hornik et al.

    Multilayer feedforward networks are universal approximators

    Neural Networks

    (1989)
  • M.I. Jordan et al.

    Forward models: Supervised learning with a distal teacher

    Cognitive Science

    (1992)
  • F.P. Skantze et al.

    Model-based neural algorithms for parameter estimation

    J. Inform. Sci.

    (1998)
  • L. Acosta et al.

    Two approaches to nonlinear systems optimal control by using neural networks

  • A.M. Annaswamy et al.

    θ-adaptive neural networks: A new approach to parameter estimation

    IEEE Trans. Neural Networks

    (1996)
  • J.K. Antony et al.

    Real-time nonlinear optimal control using neural networks

  • R.S. Baheti et al.

    Second-order correlation method for bilinear system indentification

    IEEE Trans. Automat. Control

    (1980)
  • A.R. Barron

    Universal approximation bounds for superpositions of a sigmoidal function

    IEEE Trans. Inform. Theory

    (1993)
  • D.P. Bertsekas
  • S.A. Billings et al.

    Least squares parameter estimation algorithms for non-linear systems

    Int. J. Systems Science

    (1984)
  • F.-C. Chen et al.

    Adaptive control of a class of nonlinear discrete-time systems using neural networks

    IEEE Trans. Automat. Control

    (1995)
  • F.-C. Chen et al.

    Adaptively controlling nonlinear continuous-time systems using multilayer neural networks

    IEEE Trans. Automat. Control

    (1994)
  • G. Cybenko

    Approximation by superposition of a sigmoidal function

    Mathematics of Control, Signals and Systems

    (1989)
  • F. Fnaiech et al.

    Recursive identification of bilinear systems

    Internat. J. Control

    (1987)
  • M.M. Gabr et al.

    On the identification of bilinear systems from operating records

    Internat. J. Control

    (1984)
  • G.C. Goodwin et al.
  • J. Hertz et al.

    Introduction to the Theory of Neural Computation

  • L. Jin et al.

    Fast neural learning and control of discrete-time nonlinear systems

    IEEE Trans. Systems Man Cybernet.

    (1995)
  • I. Kanellakopoulos et al.

    Systematic design of adaptive controllers for feedback linearizable systems

    IEEE Trans. Automat. Control

    (1991)
  • I. Kanellakopoulos

    A discrete-time adaptive nonlinear system

    IEEE Trans. Automat. Control

    (1994)
  • G. Kreisselmeier et al.

    Stable model reference adaptive control in the presence of bounded disturbances

    IEEE Trans. Automat. Control

    (1982)
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