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Part of the book series: Lecture Notes in Economics and Mathematical Systems ((LNE,volume 107))

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Abstract

Linear stochastic control theory gives the potential to formulate and solve regulation problems for industrial processes in a fairly realistic manner. This has also been demonstrated in several applications, [1]. The use of the theory does, however, require mathematical models of the process and its disturbances. Models of the process dynamics can sometimes be obtained from physical laws. Modeling of the disturbances will almost always require experimental data from the process. To apply the theory it is thus necessary to perform plant experiments and to make a system identification.

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References

  1. Aström, K. J., “Computer Control of a Paper Machine — an Application of Linear Stochastic Control Theory”, IBM J, Res. Dev. 11 (1967), 389–405.

    Article  Google Scholar 

  2. Aström, K. J. and Wittenmark, B., “Problems of Identification and Control”, JMAA 34 (1971), 90–113.

    MATH  Google Scholar 

  3. Aström, K. J. and Wittenmark, B., “On Self-Tuning Regulators”, Automatica 9 (1973), 185–199.

    Article  MATH  Google Scholar 

  4. Aström, K. J. and Wittenmark, B., “Analysis of a Self-Tuning Regulator for Nonminimum Phase Systems”, Submitted to IFAC Symposium on Stochastic Control Theory, Budapest 1974.

    Google Scholar 

  5. Bohlin, T., “Optimal Dual Control of a Simple Process with Unknown Gain”, Report TP 18.196, IBM Systems Development Division Nordic Laboratory, Sweden 1969.

    Google Scholar 

  6. Borisson, U. and Wittenmark, B., “An Industrial Application of a Self-Tuning Regulator”, 4th IFAC Conference on Digital Computer Applications to Process Control, Zürich 1974.

    Google Scholar 

  7. Borisson, U. and Syding, R., “Self-Tuning Control of an Ore Crusher”, IFAC Symposium on Stochastic Control Theory, Budapest 1974.

    Google Scholar 

  8. Cegrell, T. and Hedqvist, T., “Successful Adaptive Control of Paper Machines”, 3rd IFAC Symposium on Identification and System Parameter Estimation, Hague 1973.

    Google Scholar 

  9. Gustavsson, I. Ljung, L. and Söderström, T., “Identification of Linear, Multivariable Process Dynamics Using Closed Loop Estimation”, Report 7401, Division of Automatic Control, Lund Institute of Technology, 1974.

    Google Scholar 

  10. Kaiman, R. E., Design of a Self-Optimizing Control System”, Trans ASME 80 (1958) also in Oldenburger, R. (Ed.) Optimal Self-Optimizing Control MIT Press 1966, 440–449.

    Google Scholar 

  11. Landau, I. D., “Model Reference Adaptive Systems — A Survey (MRAS) — What is possible and Why?”, ASME J. of Dynamic Systems, Measurement and Control (1972), 119–132.

    Google Scholar 

  12. Ljung, L., “Convergence of Recursive Stochastic Algorithms”, Report 7403, Division of Automatic Control, Lund Institute of Technology, 1974.

    Google Scholar 

  13. Ljung, L. and Wittenmark, B., “Asymptotic Properties of Self-Tuning Regulators”, Report 7404, Division of Automatic Control, Lund Institute of Technology, 1974.

    Google Scholar 

  14. Ljung, L., “Stochastic Convergence of Algorithms for Identification and Adaptive Control”, Thesis for teknologie doktorsexamen, Lund Institute of Technology, Lund 1973.

    Google Scholar 

  15. Peterka, V., Adaptive Digital Regulation of a Noisy System”, 2nd IFAC Symposium on Identification and Process Parameter Estimation, Prague 1970, paper No. 6.2.

    Google Scholar 

  16. Peterka, V. and Aström, K. J., “Control of Multivariable Systems with Unknown but Constant Parameters”, 3rd IFAC Symposium on Identification and System Parameter Estimation, Hague 1973.

    Google Scholar 

  17. Wieslander, J. and Wittenmark, B., “An Approach to Adaptive Control Using Real Time Identification, Automatica 7 (1971), 211–217.

    Article  MathSciNet  MATH  Google Scholar 

  18. Wittenmark, B. “A Self-Tuning Regulator”, Report 7311, Division of Automatic Control, Lund Institute of Technology, Lund, Sweden, April 1973.

    Google Scholar 

  19. Wittenmark, B., “Self-Tuning Regulator”, Thesis for teknologie doktorsexamen, Lund Institute of Technology, 1973 (also Report 7 312, Division of Automatic Control, Lund Institute of Technology 1973.

    Google Scholar 

  20. Young, P., “An Extension of the Instrumental Variable Method for Identification of A Noisy Dynamic Process”, Report CN/70/1, University of Cambridge, Dept. of Eng.

    Google Scholar 

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© 1975 Springer-Verlag Berlin · Heidelberg

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Åström, K.J. (1975). Theory and Applications of Self-Tuning Regulators. In: Bensoussan, A., Lions, J.L. (eds) Control Theory, Numerical Methods and Computer Systems Modelling. Lecture Notes in Economics and Mathematical Systems, vol 107. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-46317-4_45

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  • DOI: https://doi.org/10.1007/978-3-642-46317-4_45

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-07020-7

  • Online ISBN: 978-3-642-46317-4

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