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Algebraic computations for multi-delay systems analysis

  • II. Algebraic Methods
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Book cover Algebraic Computing in Control

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 165))

Abstract

In this paper some results concerning the application of symbolic calculations in computer aided design of multi-delay control systems are presented. All considerations relate to the D2M package originally developed at the Institute of Automatics, AMM, Cracow, Poland. This package performs the transformation of graphically defined model structures and symbolically described input-output relations into MATLAB2 source code files which contain a combined model representation in an algorithmic form. The main attention is paid to generation of characteristic quasipolynomial. The advantages of the proposed approach are illustrated with the example of a distillation column design.

This work was supported by the Polish Ministry of Education under the contract RP.I.02 ASO 2.1.

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References

  1. M.M. Denn, R. Lavie: Dynamics of the plant with time-delay. The Chemical Engineering Journal, vol. 24, pp. 55–59, 1982.

    Google Scholar 

  2. J.M. Boyle, M.P. Ford, J.M. Maciejowski: Multivariable toolbox for use with MATLAB, IEEE Control Systems Magazine, vol. 9, no. 1, pp. 59–65, 1989.

    Google Scholar 

  3. M. Buslowicz: The algorithm for characteristic quasipolynomial calculation for the linear stationary system with incommensurable time-delays based on the state equation. Archiwum Automatyki i Telemechaniki, vol. XXVI, no. 1, pp. 125–131, 1981 (in Polish).

    Google Scholar 

  4. W.H. Ray: Advanced process control, McGraw-Hill, New York 1981.

    Google Scholar 

  5. J.Pulaczewski: Application of the method of moments to the control of two-dimensional delay plants. Pomiary — Automatyka — Kontrola, special section: Chemoautomatyka, no. 11, pp. 41–44, 1988 (in Polish).

    Google Scholar 

  6. M. Rimer, D.K. Frederick, C.Y. Huang: Solutions of the Grumman F-14 benchmark control problem. IEEE Control Systems Magazine, vol.10, no. 4, pp. 36–40, 1987.

    Google Scholar 

  7. M.Szymkat: Signal flow graph algebraization in the D2M package. To be presented at 5th IFAC/IMACS Symposium on Computer Aided Design in Control Systems — CADCS 91, Swansea, UK July 1991.

    Google Scholar 

  8. H.Górecki, S.Fuksa, P.Grabowski, A.Korytowski: Analysis and synthesis of time delay systems. PWN, Warsaw — J. Wiley, Chichester, 1989.

    Google Scholar 

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Authors and Affiliations

  1. Academy of Mining and Metallurgy, Institute of Automatics, al.Mickiewicza 30, 30-059, Kraków, Poland

    Maciej Szymkat

Authors
  1. Maciej Szymkat
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Gérard Jacob Françoise Lamnabhi-Lagarrigue

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© 1991 Springer-Verlag

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Szymkat, M. (1991). Algebraic computations for multi-delay systems analysis. In: Jacob, G., Lamnabhi-Lagarrigue, F. (eds) Algebraic Computing in Control. Lecture Notes in Control and Information Sciences, vol 165. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0006953

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  • DOI: https://doi.org/10.1007/BFb0006953

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-54408-1

  • Online ISBN: 978-3-540-47603-0

  • eBook Packages: Springer Book Archive

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