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Hybrid Dynamical Systems pp 129–149Cite as

On the Observation Analysis and Observer Design for a Class of Hybrid Continuous-Discrete Dynamic System

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Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 457))

Abstract

This chapter deals with observability conditions and state observer design for a class of hybrid systems whose the continuous part combines continuous and discrete dynamics. The main contribution of the work lies in the performed observability conditions for this class of systems and the design of a hybrid observer to reconstruct both continuous and discrete states starting only from the knowledge of a continuous output. Firstly, a high-order sliding mode based observer is used to estimate the continuous state and to generate a discrete output. Secondly, starting from this discrete output, a discrete state reconstructor is designed. An illustrative example is provided to show the efficiency of the proposed observer.

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Notes

  1. 1.

    The LRWU-observability leads to the LU-observability.

  2. 2.

    This is a modified version of observability conditions given in [20].

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Author information

Authors and Affiliations

  1. CReSTIC EA3804, Université de Reims Champagne Ardenne, UFR SEN, Moulin de la Housse, 51687, Reims, France

    Noureddine Manamanni

  2. LAMIH, CNRS UMR 8201, University of Valenciennes and Hainaut-Cambresis, 59313, Valenciennes, France

    Mohamed Djemai

  3. ENSEA, 6 Avenue du Ponceau, 95014, Cergy-Pontoise, France

    Jean Pierre Barbot

Authors
  1. Noureddine Manamanni
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  2. Mohamed Djemai
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  3. Jean Pierre Barbot
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Correspondence to Noureddine Manamanni .

Editor information

Editors and Affiliations

  1. LAMIH CNRS UMR 8201, University of Valenciennes and Hainaut-Cambresis, Valenciennes, France

    Mohamed Djemai

  2. LAMIH UMR-CNRS 8201, University of Valenciennes and Hainaut-Cambresis, Valenciennes, France

    Michael Defoort

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Manamanni, N., Djemai, M., Barbot, J.P. (2015). On the Observation Analysis and Observer Design for a Class of Hybrid Continuous-Discrete Dynamic System. In: Djemai, M., Defoort, M. (eds) Hybrid Dynamical Systems. Lecture Notes in Control and Information Sciences, vol 457. Springer, Cham. https://doi.org/10.1007/978-3-319-10795-0_5

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  • DOI: https://doi.org/10.1007/978-3-319-10795-0_5

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  • Online ISBN: 978-3-319-10795-0

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