Technical Communique: Resilient linear filtering of uncertain systems

  • Authors:
  • Magdi S Mahmoud

  • Affiliations:
  • Faculty of Engineering, UAE University, P.O. Box 17555, Al-Ain, United Arab Emirates

  • Venue:
  • Automatica (Journal of IFAC)
  • Year:
  • 2004

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Abstract

The problem of resilient linear filtering for a class of linear continuous-time systems with norm-bounded uncertainties is investigated. We have considered additive filter gain variations to reflect the imprecision in filter implementation. The design problem of resilient linear filter is formulated as a convex optimization problem over linear matrix inequalities. As a limiting procedure, the case of resilient Kalman filter is derived. All the developed results are conveniently extended to the case of multiplicative filter gain variations. Simulation studies are carried out to support the theoretical findings.