Design of Luenberger Observers for a Class of Hybrid Linear Systems

  • A. Alessandri
  • P. Coletta
Conference paper

DOI: 10.1007/3-540-45351-2_5

Part of the Lecture Notes in Computer Science book series (LNCS, volume 2034)
Cite this paper as:
Alessandri A., Coletta P. (2001) Design of Luenberger Observers for a Class of Hybrid Linear Systems. In: Di Benedetto M.D., Sangiovanni-Vincentelli A. (eds) Hybrid Systems: Computation and Control. HSCC 2001. Lecture Notes in Computer Science, vol 2034. Springer, Berlin, Heidelberg

Abstract

An approach to estimation for a class of hybrid discrete-time linear systems using Luenberger observers is presented. The proposed Luenberger observer for such a kind of systems relies on the switching among different gains. Convergence conditions have been found to ensure the stability of the error dynamics and the related gains may be selected by solving a set of linear matrix inequalities (LMIs). Moreover, this observer may be improved by suitably updating the estimate using the last measures. This update enables one to reduce the norm of the estimation error and is based on the so-called projection method. Simulation results are reported to show the effectiveness of these methods in the estimation for hybrid discrete-time linear systems.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2001

Authors and Affiliations

  • A. Alessandri
    • 1
  • P. Coletta
    • 1
    • 2
  1. 1.IAN-CNR National Research Council of ItalyNaval Automation InstituteGenovaItaly
  2. 2.Department of Communications, Computer and System SciencesDIST-University of GenoaGenovaItaly

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