Novel optimal recursive filter for state and fault estimation of linear stochastic systems with unknown disturbances

  • Authors:
  • Karim KhéMiri;FayçAl Hmida;José Ragot;Moncef Gossa

  • Affiliations:
  • Research Unit on Control, Monitoring and Safety of Systems (C3S), High School of Sciences and Techniques of Tunis (ESSTT), 5 av. Taha Hussein, BP 56-1008 Tunis, Tunisia;Research Unit on Control, Monitoring and Safety of Systems (C3S), High School of Sciences and Techniques of Tunis (ESSTT), 5 av. Taha Hussein, BP 56-1008 Tunis, Tunisia;Research Centre in Automation of Nancy (CRAN), Nancy University, CNRS, BP 239, 54506 Vandoeuvre Cedex, France;Research Unit on Control, Monitoring and Safety of Systems (C3S), High School of Sciences and Techniques of Tunis (ESSTT), 5 av. Taha Hussein, BP 56-1008 Tunis, Tunisia

  • Venue:
  • International Journal of Applied Mathematics and Computer Science
  • Year:
  • 2011

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Abstract

This paper studies recursive optimal filtering as well as robust fault and state estimation for linear stochastic systems with unknown disturbances. It proposes a new recursive optimal filter structure with transformation of the original system. This transformation is based on the singular value decomposition of the direct feedthrough matrix distribution of the fault which is assumed to be of arbitrary rank. The resulting filter is optimal in the sense of the unbiased minimum-variance criteria. Two numerical examples are given in order to illustrate the proposed method, in particular to solve the estimation of the simultaneous actuator and sensor fault problem and to make a comparison with the existing literature results.