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Découplage des systèmes dynamiques non linéaires

  • I. Use Of Symbolic Languages
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Algebraic Computing in Control

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

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Abstract

In this paper, we present a concise implementation (MACSYMA) to study the problem of decoupling for nonlinear control systems (linear in the control) via analytic state feedback. This computation uses the Claude's technic, based on generating power series (as introduced by Fliess). We develop a little more general and unify case of decoupling some subset of outputs with respect to some subset of inputs. We obtain as particular cases the Disturbance Decoupling Problem, the Triangular Decoupling Problem, the Diagonal Decoupling Problem and the Noninteracting Control Problem.

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Bibliographies

  1. D. Claude & P. Dufresne, An Application of MACSYMA to Nonlinear Systems Decoupling, Lecture Notes in Computer Science, 144, 1982.

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  3. M. Fliess,Fonctionnelles causales non linéaires et indéterminées non commutative, Bull. Soc. Math France, 109, 1981, pp. 3–40.

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  4. Hoang Ngoc Minh,Contribution au développement d'outils informatiques pour résoudre des problèmes d'automatique non linéaire, Thèse, Université Lille I, 1990.

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Author information

Authors and Affiliations

  1. Université Lille I, 59655, Villeneuve d'Ascq, France

    V. Hoang Ngoc Minh

Authors
  1. V. Hoang Ngoc Minh
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Editor information

Gérard Jacob Françoise Lamnabhi-Lagarrigue

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© 1991 Springer-Verlag

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Hoang Ngoc Minh, V. (1991). Découplage des systèmes dynamiques non linéaires. 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/BFb0006937

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  • DOI: https://doi.org/10.1007/BFb0006937

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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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