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Simulation des Linear- Quadratischen Regelungsproblemes

  • Conference paper
Book cover Simulationstechnik

Part of the book series: Informatik-Fachberichte ((INFORMATIK,volume 109))

Zusammenfassung

Dieser Beitrag beschäftigt sich mit dem linear- quadratischen Regelungsproblem. Es wird zunächst ein Verfahren, „Erweitertes Invariantes Einbetten“ vorgestellt, das das Problem unabhängig von den Randbedingungen löst. In der Folge wird gezeigt, daß dieses Verfahren sich auch sehr gut zur Simulation des Problemes eignet. Implementationsmöglichkeiten und Beispiele in den Simulationssprachen ACSL und HYBSYS werden angegeben.

Summary

This contribution deals with the simulation of the linear- quadratic regulator problem. First the method of “extended invariant imbedding” is shown which allows to solve the problem independently from the initial values. In the following it is shown that this method can be used as well for the simulation of the problem. Examples of implementations within the simulation languages ACSL and HYBSYS are given.

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Literatur

  1. ACSL User Guide/ Reference Manual. Mitchell & Gauthier Ass., Concordia, MA.

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  2. Athans M., Falb P.L.: Optimal Control. Mac Graw-Hill, N.Y., 1966.

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  3. Breitenecker F.: On the solution of the linear-quadratic optimal control problem by extended invariant imbedding. OACM (Optimal Control-Applications and Methods), vol. 4 (1983), pp 129.

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  4. Breitenecker F.: Online simulation of the linear-quadratic regulator problem. Proc. Int. AMSE Conference “Modeling and Simulation”, Paris, July 1982, vol.3, pp37.

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  5. Breitenecker F.: On the concept of supermacros in today’s and future simulation languages. Mathematics and Computers in Simulation XXV (1983), pp. 279.

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  6. Breitenecker F.: Optimierung in kontinuierlichen Simulationssprachen: Aspekte bei Modellen technischer Systeme. Informatik-Fachbericht 85(1984), pp 656.

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  7. Sagirow P.: Satellitendynamik. BI — Verlag, Manheim, 1970.

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  8. Solar D., Berger F., Blauensteiner A.: HYBSYS — interactive simulation software for a hybrid multiple user system. Informatik-Fachbericht 56 (1982), pp 257.

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Author information

Authors and Affiliations

  1. Technische Universität Wien, Wiedner Hauptstrasse 6-10, A-1040, Wien, Austria

    F. Breitenecker

Authors
  1. F. Breitenecker
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Editor information

Editors and Affiliations

  1. Physiologisches Institut, Johannes Gutenberg Universität, Saarstr. 21, 6500, Mainz, Deutschland

    Dietmar P. F. Möller

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© 1985 Springer-Verlag Berlin Heidelberg

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Breitenecker, F. (1985). Simulation des Linear- Quadratischen Regelungsproblemes. In: Möller, D.P.F. (eds) Simulationstechnik. Informatik-Fachberichte, vol 109. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-70640-0_39

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  • DOI: https://doi.org/10.1007/978-3-642-70640-0_39

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-15700-7

  • Online ISBN: 978-3-642-70640-0

  • eBook Packages: Springer Book Archive

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