Integrated Design of Observer Based Fault Detection for a Class of Uncertain Nonlinear Systems

  • Authors:
  • Wei Chen;Abdul Khan;Muhammmad Abid;Steven Ding

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

  • Venue:
  • International Journal of Applied Mathematics and Computer Science - Issues in Advanced Control and Diagnosis
  • Year:
  • 2011

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Abstract

Integrated design of observer based Fault Detection (FD) for a class of uncertain nonlinear systems with Lipschitz nonlinearities is studied. In the context of norm based residual evaluation, the residual generator and evaluator are designed together in an integrated form, and, based on it, a trade-off FD system is finally achieved in the sense that, for a given Fault Detection Rate (FDR), the False Alarm Rate (FAR) is minimized. A numerical example is given to illustrate the effectiveness of the proposed design method.