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Parameter identification problems for interconnected distributed parameter systems and applications to a biotechnological plant

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Distributed Parameter Systems

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 75))

Abstract

Application of decomposition/coordination methods to the parameter identification problem with output least squares error criterion was demonstrated by means of two examples. An academic, but instructive example with two coupled heat conductors showed that convergence of the algorithm may be restricted to a certain area in the parameter domain. Optimal sensor allocation algorithms then were used to enlarge this domain to an extent that covers more or less all physical relevant situations. The same ideas were applied to a relevant biotechnical system, the bubble-column loop fermenter. The results obtained are meaningful and lead to a better insight into planning of measurement equipment at the reactor under consideration.

In general, treatment of complex systems by decomposition/coordination methods offers the opportunity to treat low-dimensional subsystems separately (a nice feature from the modelling point of view), and in spite of this, guarantee to reach the overall optimum. Particularly in case of coupled distributed and lumped systems the lumped subsystems are very easy to handle, since pure ordinary differential equations are to be solved in the corresponding subsystems.

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References

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Authors and Affiliations

  1. Institut für Regelungstechnik, Universität Hannover, Appelstraße 11, D-3000, Hannover 1, West Germany

    A. Munack

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  1. A. Munack
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Franz Kappel Karl Kunisch Wilhelm Schappacher

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© 1985 Springer-Verlag

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Munack, A. (1985). Parameter identification problems for interconnected distributed parameter systems and applications to a biotechnological plant. In: Kappel, F., Kunisch, K., Schappacher, W. (eds) Distributed Parameter Systems. Lecture Notes in Control and Information Sciences, vol 75. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0005656

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  • DOI: https://doi.org/10.1007/BFb0005656

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-15872-1

  • Online ISBN: 978-3-540-39661-1

  • eBook Packages: Springer Book Archive

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