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

  • Noureddine Manamanni
  • Mohamed Djemai
  • Jean Pierre Barbot
Part of the Lecture Notes in Control and Information Sciences book series (LNCIS, volume 457)


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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Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  • Noureddine Manamanni
    • 1
  • Mohamed Djemai
    • 2
  • Jean Pierre Barbot
    • 3
  1. 1.CReSTIC EA3804Université de Reims Champagne ArdenneReimsFrance
  2. 2.LAMIH, CNRS UMR 8201University of Valenciennes and Hainaut-CambresisValenciennesFrance
  3. 3.ENSEACergy-PontoiseFrance

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