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A Method for Using Weighting Functions as System Description in Optimal Control

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Book cover Theory of Self-Adaptive Control Systems

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Abstract

A number of methods of linearised system dynamic identification, particularly those which do not require knowledge of the internal structure of the system, yield a system description in the form of weighting function (impulse response), or its Fourier transform frequency response. However, for optimal control theory it is usual to assume a set of first order differential equations as system description, and there is very little information concerning the use of external descriptions like weighting functions in forming optimal control.

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References

  1. Briggs, P. A. N., Hammond, P. H., Hughes, M. T. G. and Plumb, G. O., “Correlation Analysis of Process Dynamics Using Pseudo-Random Binary Test Perturbations”. Proc. Convention on Advances in Automatic Control, April 1965 Proc. Inst. Mech. Engrs. Vol. 179, part 3H, 1965.

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  2. Kramer, Jr., J. D. R., “On Control of Linear Systems with Time Lags”. Information and Control 3 299–326 (1960).

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  3. Dawkins, J., “Control Measurement in the Presence of Noise”. Pts I and II, Journal of Electronics and Control. Vol. 15, no. 3, September 1963.

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  4. Graupe, D. and Cassir, G. “Adaptive Control System utilising sampling techniques and Aitkens Approximation”, I.E.E. Electronics Letters, Vol. 1, No. 5, p.126, 1965.

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Author information

Author notes

  1. J. Dawkins

    Present address: I.B.M. (United Kingdom) Limited, UK

Authors and Affiliations

  1. National Physical Laboratory, Teddington, Middlesex, England

    J. Dawkins & P. A. N. Briggs

Authors
  1. J. Dawkins
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  2. P. A. N. Briggs
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Editor information

Editors and Affiliations

  1. Autonomics Division, National Physical Laboratory, England

    P. H. Hammond

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© 1966 Springer Science+Business Media New York

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Dawkins, J., Briggs, P.A.N. (1966). A Method for Using Weighting Functions as System Description in Optimal Control. In: Hammond, P.H. (eds) Theory of Self-Adaptive Control Systems. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-6289-8_27

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  • DOI: https://doi.org/10.1007/978-1-4899-6289-8_27

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4899-6157-0

  • Online ISBN: 978-1-4899-6289-8

  • eBook Packages: Springer Book Archive

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