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International Conference on Numerical Methods and Applications

NMA 2002: Numerical Methods and Applications pp 230–237Cite as

A Stabilizing Feedback of an Uncertain Control System

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Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2542))

Abstract

A nonlinear control system, describing the continuous methane fermentation is considered. By means of a nonlinear coordinate change the control system is transformed into an equivalent form, involving only measurable quantities of the real process. Assuming that the parameters of the model are not exactly known but bounded within intervals, the set of optimal static points according to a practical criterion is computed. A continuous feedback control is proposed, which stabilizes asymptotically the dynamic system towards a reasonable subregion of this set. Outputs from computer simulation in Maple are also reported.

This work has been partially supported by the Bulgarian National Science Fund under grant No. MM807/98 and MM1104/01.

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Author information

Authors and Affiliations

  1. Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, Acad. G. Bonchev str. bl.8, 1113, Sofia

    Mikhail Krastanov & Neli Dimitrova

Authors
  1. Mikhail Krastanov
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  2. Neli Dimitrova
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Editor information

Editors and Affiliations

  1. Central Laboratory for Parallel Processing, Bulgarian Academy of Sciences, Acad. G. Bonchev, bl. 25A, 1113, Sofia, Bulgaria

    Ivan Dimov , Ivan Lirkov  & Svetozar Margenov ,  & 

  2. National Environmental Research Institute, Frederiksborgvej 399, P.O. Box 358, 4000, Roskilde, Denmark

    Zahari Zlatev

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© 2003 Springer-Verlag Berlin Heidelberg

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Krastanov, M., Dimitrova, N. (2003). A Stabilizing Feedback of an Uncertain Control System. In: Dimov, I., Lirkov, I., Margenov, S., Zlatev, Z. (eds) Numerical Methods and Applications. NMA 2002. Lecture Notes in Computer Science, vol 2542. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-36487-0_25

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  • DOI: https://doi.org/10.1007/3-540-36487-0_25

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-00608-4

  • Online ISBN: 978-3-540-36487-0

  • eBook Packages: Springer Book Archive

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