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Distributed Parameter Systems: Modelling and Identification pp 310–324Cite as

Implementation of distributed parameter state observers

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Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 1))

Abstract

With the aid of simplifying assumptions a one-dimensional mathematical model for a three-dimensional aluminium slab (100 cm long, 25 cm wide, 2 cm thick) has been developed and the modelling parameter of the apparatus have been determined experimentally |14|. The observer problem considered here is the real time state reconstruction of the slab temperature profile using only a limited number of thermocouple measurements.

Based on the given mathematical model, distributed parameter state observers have been implemented experimentally to reconstruct transient temperature profiles of the slab subject to heating and cooling. Just two, and in certain cases three, thermocouples with very small measurement error and negligible measurement noise are used. The reconstructed temperature profiles are compared with the accurate profiles measured with 21 thermocouples distributed virtually continuously (at intervals of 5 cm) along the central axis of the slab. The observers performed well in both open loop experiments and in feedback control loops.

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References

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Authors and Affiliations

  1. Institut für Systemdynamik und Regelungstechnik, Universität Stuttgart, D-7000, Stuttgart 1, Germany

    M. Köhne

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  1. M. Köhne
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Antonio Ruberti

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© 1978 Springer-Verlag

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Köhne, M. (1978). Implementation of distributed parameter state observers. In: Ruberti, A. (eds) Distributed Parameter Systems: Modelling and Identification. Lecture Notes in Control and Information Sciences, vol 1. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0003746

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  • DOI: https://doi.org/10.1007/BFb0003746

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08405-1

  • Online ISBN: 978-3-540-37195-3

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