H∞ filtering of periodic Markovian jump systems: Application to filtering with communication constraints

  • Authors:

  • Samir Aberkane;Vasile Dragan

  • Affiliations:

  • Université de Lorraine, CRAN, UMR 7039, Campus Sciences, BP 70239, Vandíuvre-les-Nancy Cedex, 54506, France and CNRS, CRAN, UMR 7039, France;Institute of Mathematics of the Romanian Academy, P.O. Box 1-764, RO-014700, Bucharest, Romania

  • Venue:
  • Automatica (Journal of IFAC)
  • Year:
  • 2012

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Abstract

In this note, a bounded real lemma (BRL) is established for discrete-time periodic Markov jump linear systems (MJLS) with nonhomogeneous finite state Markov chain. The BRL is formulated as a finite linear matrix inequality (LMI) feasibility problem. An application to H"~ filtering for systems subject to limited communication capacity is then presented.