• Title/Summary/Keyword: $\mathfrak{H}_-$ performance index

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Observer Design for H- Fault Detection of Large Scale T-S Fuzzy Systems (대규모 T-S 퍼지 시스템의 H- 고장검출을 위한 관측기 설계)

  • Jee, Sung-Chul;Lee, Ho-Jae;Joo, Young-Hoon;Kim, Do-Wan
    • Journal of the Korean Institute of Intelligent Systems
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    • v.20 no.1
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    • pp.15-20
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    • 2010
  • In this paper, we discuss a decentralized observer design problem for the fault detection in the large-scale continuous-time T-S (Takagi-Sugeno) fuzzy system. Since the fault detection residual is desired to be as sensitive as possible, on the fault, we use $\mathfrak{H}_-$ index performance criterion. Sufficient conditions for the existence of such a observer is presented in terms of linear matrix inequalities. Simulation results show the effectiveness of the proposed method.

Sampled-Data Fault Detection Observer Design of Takagi-Sugeno Fuzzy Systems (타카기-수게노 퍼지 시스템을 위한 샘플치 고장검출 관측기 설계)

  • Jee, Sung Chul;Lee, Ho Jae;Kim, Do Wan
    • Journal of the Korean Institute of Intelligent Systems
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    • v.23 no.1
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    • pp.65-71
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    • 2013
  • In this paper, we address fault detection observer design problem of T-S fuzzy systems with sensor fault. To detect fault, T-S fuzzy model-based observer is used. By introducing $\mathfrak{H}$_ performance index, an observer is designed as sensitive to fault as possible. The fault is then detected by a fault decision logic. The design conditions are derived in terms of linear matrix inequalities. An illustrative example is provided to verify the effectiveness of the proposed fault detection technique.