Technical communique: Finite-horizon H∞ fault estimation for linear discrete time-varying systems with delayed measurements

  • Authors:

  • Bo Shen;Steven X. Ding;Zidong Wang

  • Affiliations:

  • Institute for Automatic Control and Complex Systems, University of Duisburg-Essen, Duisburg 47057, Germany;Institute for Automatic Control and Complex Systems, University of Duisburg-Essen, Duisburg 47057, Germany;Department of Automation, Tsinghua University, Beijing 100084, China and Department of Information Systems and Computing, Brunel University, Uxbridge, Middlesex, UB8 3PH, UK

  • Venue:
  • Automatica (Journal of IFAC)
  • Year:
  • 2013

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Abstract

In this paper, the finite-horizon H"~ fault estimation problem is addressed for a class of linear discrete time-varying systems with both instantaneous and delayed measurements. By using the reorganized innovation approach, the considered measurements are reorganized into a tractable form, based on which we introduce an associated stochastic system in a Krein space. Then, by applying the innovation analysis and projection theory in the Krein space, a necessary and sufficient condition for the existence of the finite-horizon H"~ fault estimator is obtained. Subsequently, a fault estimator is designed to achieve the specified H"~ performance criterion in terms of the solution to a set of Riccati difference equations. Finally, a simulation example is employed to show the effectiveness of the proposed fault estimation approach.