Erfahrungen über die Anwendung von Mehrfachregelungen bei Einer Experimentell Realisierten Strecke

  • D. E. Seborg
  • D. G. Fisher
Part of the Fachberichte Messen · Steuern · Regeln book series (FACHBERICHTE, volume 1)

Experience with Experimental Applications of Multivariable Computer Control


Although multivariable control has been the subject of a large number of theoretical studies in recent years, relatively few experimental applications to process control problems have been reported. For example, a recent survey paper [1] has located only 84 papers in the open literature that describe such experimental applications, and less than half are industrial applications.

During the past nine years, a continuing project at the University of Alberta has helped bridge this widely acclaimed gap between theory and practice by providing well-documented applications of various multivariable control techniques to the same pilot scale unit, a double effect evaporator [2]. Since this apparatus hase been used in each investigation, it is possible to make meaningful comparisons between conventional control strategies and modern control and estimation techniques including:
  1. a)

    optimal feedback control [3]

  2. b)

    time optimal control [4]

  3. c)

    model reference adaptive control [5]

  4. d)

    Kaiman filters and Luenberger observers [6]

  5. e)

    time delay compensation [7]

  6. f)

    inverse Nyquist and characteristic loci methods [8, 9]

  7. g)

    identification of state space models [10, 11]

  8. h)

    controllers designed to achieve disturbance localization [12, 13]

In this paper, the major conclusions from this continuing project are summa­rized and recent investigations are described in greater detail. The paper concludes with a discussion of the implications of this research for industrial applications to process control problems.


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  1. /1/.
    Rijnsdorp, J.E. and D.E. Seborg, “A Survey of Experimental Applications of Multivariable Control to process Control Problems”, Chem. Eng. Progress Sympos. Series (in press).Google Scholar
  2. /2/.
    Fisher, D. G. and E.D. Seborg, Multivariable Computer Control -A Case Study, North Holland, Amsterdam (1976).Google Scholar
  3. /3/.
    Newell, R.B. and D.G. Fisher, “Experimental Evaluation of Optimal Multivariable Regulatory Controllers with Model-Following Capabilities”, Automatica, 8, 247–262 (1972).CrossRefGoogle Scholar
  4. /4/.
    Nieman, R.E. and D.G. Fisher, “Experimental Evaluation of Optimal Multivariable Servo Control in Conjunction with Conventional Regulatory Control”, Chem. Eng. Communications, 1, 77–87 (1973).CrossRefGoogle Scholar
  5. /5/.
    Oliver, W.K. , D.E. Seborg and D. G. Fisher, “Model Reference Adaptive Control Based on Liapunov’s Direct Method. Part II: Hybrid Computer Simulation and Experimental Verification”, Chem. Eng. Communications, 1, 133–140 (1973).CrossRefGoogle Scholar
  6. /6/.
    Seborg D.E., D.G. Fisher and J. C. Hamilton, “An Experimental Evaluation of State Estimation in Multivariable Control Systems”, Automatica, 11, 351–359 (1975).CrossRefGoogle Scholar
  7. /7/.
    Alevisakis, G. and D. E. Seborg, “Control of Multivariable Systems Containing Time Delays Using a Multivariable Smith Predictor”, Chem. Eng. Science, 29, 373–380 (1974).CrossRefGoogle Scholar
  8. /8/.
    MacFarlane, A.G. J., “A Survey of Some Recent Results in Multi-variable Feedback Theory”, Automatica, ± , 455–493 (1972).Google Scholar
  9. /9/.
    Fisher, D. G., J. F. Kuon and D.E. Seborg, “Comparsion and Experimental Evaluation of Multivariable, Frequency Domain Design Techniques”, Proc. Internat. Fed. of Automatic Control Sympos. on Multivariable Technological Systems, Fredericton, Canada (in press).Google Scholar
  10. /10/.
    Chintapalli, P.K.R., D.E. Seborg and D. G. Fisher, “Model Reference Identification of State Space Models for a Double Effect Evaporator”, Proc. 1976 Joint Automatic Control Conf., Lafayette, Indiana, July, 1976.Google Scholar
  11. /11/.
    Chintapalli, P.K.R., D.E. Seborg and D. G. Fisher, “Model Reference Identification of State Space Models for a Double Effect Evaporator”, Can. J. Chem. Eng. (in press).Google Scholar
  12. /12/.
    Wonham, W.M. and A.S. Morse, “Decoupling and Pole Assignment in Linear Multivariable Systems”, SIAM J. Control, 8, 1–18 (1970).MathSciNetzbMATHCrossRefGoogle Scholar
  13. /13/.
    Shah, S.L., D.E. Seborg and D. G. Fisher, “Disturbance Localization in Linear Systems by Eigenvector Assignment”, Internat. J. of Control (in press).Google Scholar

Copyright information

© Springer-Verlag Berlin · Heidelberg 1977

Authors and Affiliations

  • D. E. Seborg
    • 1
  • D. G. Fisher
    • 1
  1. 1.Department of Chemical EngineeringUniversity of AlbertaEdmontonCanada

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