Elsevier

Automatica

Volume 24, Issue 3, May 1988, Pages 327-341
Automatica

Paper
An adaptive control algorithm for linear systems having unknown time delay☆

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Abstract

This paper presents an algorithm for adaptive control of linear systems having unknown time delay. A rational approximation is used for the delay and it is argued that within this framework, the analysis of the properties of the corresponding adaptive control algorithm essentially reduces to the issue of robustness to unmodelled dynamics. A global convergence theory is presented using recent methods for analyzing robustness properties of adaptive control algorithms. The analysis is supported by simulation results.

References (57)

  • B.D.O. Anderson et al.

    Adaptive systems and time varying plants

    Int. J. Control

    (1983)
  • K.J. Åström

    Theory and application of adaptive control—a survey

    Automatica

    (1983)
  • K.J. Åström

    Analysis of Rhors' counter-examples to adaptive control

  • K.J. Åström et al.
  • H.T. Banks et al.

    Parameter estimation and identification for systems with delays

    SIAM J. Control Opt.

    (1981)
  • K.K. Biswas et al.

    Identification of stochastic time delay systems

    IEEE Trans. Aut. Control

    (1978)
  • R. Bitmead et al.

    Discrete averaging and robust identification

  • M. Bodson et al.

    Exponential convergence and robustness margins in adaptive control

  • S.W. Chan et al.

    Convergence properties of the Riccati difference equation in optimal filtering of non-stabilizable systems

    IEEE Trans. Aut. Control

    (1984)
  • Chandra Prasad et al.

    Adaptive control of a variable dead time process with an integrator

  • Z.J. Chen et al.

    Robustness of model reference adaptive control systems with unmodelled dynamics

    Int. J. Control

    (1984)
  • I.L. Chien et al.

    A self-tuning controller for systems with unknown or varying time delays

  • D.E. Clough et al.

    A novel dead-time adaptive controller

  • C.A. Desoer

    Slowly varying discrete system xi + 1 = Aixi

    Electron. Lett.

    (1970)
  • C.A. Desoer et al.

    Feedback system design: the fractional representation approach to analysis and synthesis

    IEEE Trans. Aut. Control

    (1980)
  • C.A. Desoer et al.
  • C.E. de Souza et al.

    Riccati equations in optimal filtering of non-stabilizable systems having singular state transition matrices

    IEEE Trans. Aut. Control

    (1986)
  • B. Friedlander et al.

    A parametric technique for time delay estimation

  • L.C. Fu et al.

    New stability theorems for averaging and their applications to the convergence analysis of adaptive identification and control schemes

  • E. Gabay et al.

    Identification of linear systems with time-delay operating in a closed loop in the presence of noise

    IEEE Trans. Aut. Control

    (1976)
  • P.J. Gawthrop et al.

    Robustness of self-tuning controllers

  • P.J. Gawthrop et al.

    Identification of time delays using a polynomial identification method

    Syst. Control Lett.

    (1985)
  • J.P. Gerry et al.

    Adaptive control of a pilot scale distillation column

  • G.C. Goodwin

    Some observations on robust estimation and control

  • G.C. Goodwin et al.

    Towards an adaptive robust controller

  • G.C. Goodwin et al.
  • B.V. Hamon et al.

    Spectral estimation of time delay for dispersive and non-dispersive systems

    Jl. R. Statist. Soc.

    (1974)
  • J.C. Hassab et al.

    Optimum estimation of time delay by a generalized correlator

    IEEE Trans. Acoust. Speech Sig. Process.

    (1979)

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    ☆

    The original version of this paper was presented at the 10th IFAC World Congress which was held in Munich, F.R.G. during July 1987. The Published Proceedings of this IFAC Meeting may be ordered from: Pergamon Press plc, Headington Hill Hall, Oxford OX3 0BW, England. This paper was recommended for publication in revised form by Associate Editor C. C. Hang under the direction of Editor P. C. Parks.

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