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The effect of point-like noise sources on chemical distributed parameter systems

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System Modelling and Optimization

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 84))

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Abstract

The modelling of stochastic distributed parameter systems has a great importance in chemical engineering from the viewpoint of fault detection, measurement device placing and control. In the following paper an integral equation has been chosen for the stochastic model of a one-dimensional chemical system in transient state. The source of the fluctuations is assumed to be a steady-state process with continuous trajectories w.p. 1. Under weak assumptions it can be shown that the state variable process of a steady-state system is stationary, its correlation function fulfils an explicit operator equation which is closely related to the operator equation of the solution. The proposed method can be easily extended to more complicated noise sources, too.

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References

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Author information

Authors and Affiliations

  1. Computer and Automation Institute, Hungarian Academy of Sciences, POB. 63, H-1502, Budapest, Hungary

    K. M. Hangos & T. Virág

  2. Research Institute for Technical Chemistry of the Hungarian Academy of Sciences, POB. 98, H-1502, Budapest, Hungary

    T. Virág

Authors
  1. K. M. Hangos
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  2. T. Virág
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Editor information

A. Prékopa J. Szelezsáan B. Strazicky

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© 1986 Springer-Verlag

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Hangos, K.M., Virág, T. (1986). The effect of point-like noise sources on chemical distributed parameter systems. In: Prékopa, A., Szelezsáan, J., Strazicky, B. (eds) System Modelling and Optimization. Lecture Notes in Control and Information Sciences, vol 84. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0043850

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  • DOI: https://doi.org/10.1007/BFb0043850

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-16854-6

  • Online ISBN: 978-3-540-47138-7

  • eBook Packages: Springer Book Archive

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