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Nonlinear Model Based Process Control pp 623–665Cite as

Towards Multiscale Dynamic Data Reconciliation

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Part of the book series: NATO ASI Series ((NSSE,volume 353))

Abstract

Although reconciliation of steady-state process data is routinely applied in industrial practice, the theoretical understanding of the problem and its adequate formulation in a dynamic setting is still not mature. Existing formulation approaches are based on stochastic filters, deterministic observers or mathematical programming techniques. In this contribution, we suggest a general problem formulation of dynamic data reconciliation based on the theory of ill-posed problems and their regularizations. It results in a large-scale dynamic optimization problem which requires efficient numerical solution methods in real-time under strict limitations of computational resources. We explore a novel mathematical framework for the discretization of the dynamic optimization problem and the solution of the discretized nonlinear programming problem based on multiscale approximation. The framework attempts to integrate signal processing and optimization finally leading to a fully adaptive and highly efficient numerical treatment which always provides the best possible estimate which is attainable in the allotted time period.

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Author information

Authors and Affiliations

  1. Lehrstuhl für Prozeßtechnik, RWTH Aachen University of Technology, D-52056, Aachen, Germany

    T. Binder & W. Marquardt

  2. Institut für Geometrie und Praktische Mathematik, RWTH Aachen University of Technology, D-52056, Aachen, Germany

    L. Blank & W. Dahmen

Authors
  1. T. Binder
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  2. L. Blank
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  3. W. Dahmen
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  4. W. Marquardt
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Corresponding author

Correspondence to W. Marquardt .

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Editors and Affiliations

  1. Department of Chemical Engineering, Ankara University, Tandoğan, Ankara, Turkey

    Ridvan Berber

  2. Department of Chemical Engineering, The University of Michigan, Ann Arbor, Michigan, USA

    Costas Kravaris

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Binder, T., Blank, L., Dahmen, W., Marquardt, W. (1998). Towards Multiscale Dynamic Data Reconciliation. In: Berber, R., Kravaris, C. (eds) Nonlinear Model Based Process Control. NATO ASI Series, vol 353. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-5094-1_21

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  • DOI: https://doi.org/10.1007/978-94-011-5094-1_21

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