Brief paper: Disturbance decoupling in fault detection of linear periodic systems

  • Authors:
  • Ping Zhang;Steven X. Ding

  • Affiliations:
  • Institute for Automatic Control and Complex Systems, University of Duisburg-Essen, Bismarckstr. 81 BB, 47057 Duisburg, Germany;Institute for Automatic Control and Complex Systems, University of Duisburg-Essen, Bismarckstr. 81 BB, 47057 Duisburg, Germany

  • Venue:
  • Automatica (Journal of IFAC)
  • Year:
  • 2007

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Abstract

This paper studies fault detection problems of linear discrete-time periodic systems. The aim is to design residual generators, which deliver a residual signal fully decoupled from unknown disturbances. First, a periodic parity relation based full decoupling residual generator with a periodically varying parity vector is established. Then, the relation between periodic parity vectors and periodic observer-based residual generators is investigated. It is shown that a periodic observer-based full decoupling residual generator can be obtained from a periodic full decoupling parity vector. Finally, the condition of disturbance decoupling is discussed and an example is given to illustrate the proposed approaches.