Multivariable Models for Control Systems

  • H. Anthony Barker
Conference paper


The determination of a model for a multivariable system is an essential part of the control problem. This paper describes a method by which such a model may be realised and made to self-adjust in sympathy with variations of the system parameters. Special criteria are given for the synthesis of linear models, and a method for using these models in optimization schemes is suggested.


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  1. (1).
    Halmos, P.R., Introduction to Hilbert Space and the Theory of Spectral Multiplicity, Chelsea, New York, 1951.MATHGoogle Scholar
  2. (2).
    Bellman, R., Stability Theory of Differential Equations, McGraw-Hill, New York, 1953.MATHGoogle Scholar
  3. (3).
    Courant, R. and Hilbert D., Methods of Mathematical Physics, Interscience, New York, 1953.Google Scholar
  4. (4).
    Barker, H.A., The Application of Systems of Orthogonal Signals to the Solution of the Optimization Problem, Ph.D. Thesis, Cambridge University, 1965.Google Scholar
  5. (5).
    van der Grinten, P.M.E.M., The Application of Random Test Signals in Process Optimization, Proceedings Second International Congress, I.F.A.C., Basle, 1963.Google Scholar
  6. 1.
    Bray, J.W., High, R.J., McCann, A.D. and Jemmeson, H. On-line model making for a chemical plant, Trans, Soc. Instrument Technology, September, 1965, pp.65-75.Google Scholar

Copyright information

© Springer Science+Business Media New York 1966

Authors and Affiliations

  • H. Anthony Barker
    • 1
  1. 1.The University of GlasgowGlasgowScotland

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