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Exact delayed reconstructors in nonlinear discrete-time systems control

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Nonlinear and Adaptive Control

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 281))

Abstract

In this article we show that the n-dimensional state of an observable discrete-time nonlinear SISO system can always be exactly synthesized by means of a “structural reconstructor” which only requires knowledge of a finite number of delayed inputs and delayed outputs. This fact, when combined with the difference flatness of the system, results in an effective systematic feedback control scheme which avoids the need for traditional asymptotic state observers.

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References

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Author information

Authors and Affiliations

  1. Dept. Ingeniería Eléctrica, Sección Mecatrónica, Cinvestav-I.P.N, Avenida IPN, # 2508, Col. San Pedro Zacatenco, A.P. 14740, 07300, México, D.F., México

    Hebertt Sira-Ramírez

  2. Centre Automatique et Systèmes, Ècole des Mines de Paris, 35 Rue Saint-Honoré, 77305, Fontainebleau, Cedex, France

    Pierre Rouchon

Authors
  1. Hebertt Sira-Ramírez
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  2. Pierre Rouchon
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Editor information

Editors and Affiliations

  1. Departement of AppliedMathematics, The University of Sheffield, Western Bank, Sheffield, S10 2TN, UK

    Alan Zinober

  2. Dept. of Automatic Control and Systems Engineering, The University of Sheffield, Mappin Street, Sheffield, S1 3JD, UK

    David Owens

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© 2003 Springer-Verlag Berlin Heidelberg

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Sira-Ramírez, H., Rouchon, P. (2003). Exact delayed reconstructors in nonlinear discrete-time systems control. In: Zinober, A., Owens, D. (eds) Nonlinear and Adaptive Control. Lecture Notes in Control and Information Sciences, vol 281. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45802-6_28

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  • DOI: https://doi.org/10.1007/3-540-45802-6_28

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-43240-1

  • Online ISBN: 978-3-540-45802-9

  • eBook Packages: Springer Book Archive

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