Parity space-based fault detection for Markovian jump systems

  • Authors:
  • Maiying Zhong;Qiang Ding;Peng Shi

  • Affiliations:
  • School of Instrument Science and Opto-Electronics Engineering, Beihang University, Beijing, China;School of Control Science and Engineering, Shandong University, Jinan, China;Faculty of Advanced Technology, University of Glamorgan, UK,School of Computer Science and Mathematics, Victoria University, Australia,School of Mathematics and Statistics, University of South Aus ...

  • Venue:
  • International Journal of Systems Science
  • Year:
  • 2009

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Abstract

This article deals with problems of parity space-based fault detection for a class of discrete-time linear Markovian jump systems. A new algorithm is firstly introduced to reduce the computation of mode-dependent redundancy relation parameter matrices. Different from the case of linear time invariant systems, the parity space-based residual generator for a Markovian jump system cannot be designed off-line because it depends on the history of system modes in the last finite steps. In order to overcome this difficulty, a finite set of parity matrices is pre-designed applying a unified approach to linear time invariant systems. Then the on-line residual generation can be easily implemented. Moreover, the problem of residual evaluation is also considered which includes the determination of a residual evaluation function and a threshold. Finally, a numerical example is given to illustrate the effectiveness of the proposed method.