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A New Fault Estimation Observer Design for Nonlinear Markovian Jump Systems: An Interval Type-2 Fuzzy Method

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Abstract

In this paper, we propose a new fault estimation observer for nonlinear Markovian jump systems. Following the interval type-2 fuzzy logic rules, the original system can be approximated as an interval type-2 fuzzy Markovian jump system. For such a system, we develop a new intermediate fault estimation observer, in which a variable is introduced to estimate actuator faults. Significantly, a larger design freedom can be achieved by providing the observer gain matrix in the new form. To further evaluate the proposed method, multiple fault cases are considered. The proposed method proves effective in the simultaneous fault estimation for both actuator fault and sensor fault. Furthermore, two examples are simulated to numerically verify the feasibility of the given method.

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Acknowledgements

This research is supported by National Natural Science Foundation under Grant Nos. 61803256, 61627810 and 61473183, and Shanghai Natural Science Foundation 21ZR1426100.

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Author notes

  1. Dunke Lu, Yanhui Tong, and Haibo Li have contributed equally to this work.

Authors and Affiliations

  1. School of Electronic and Electrical Engineering, Shanghai University of Engineering Science, Longteng Road, Shanghai, 201620, China

    Xiaohang Li, Yanhui Tong & Haibo Li

  2. School of Physics and Materials Science, Guangzhou University, Guangzhou, 10587, China

    Dunke Lu

Authors
  1. Xiaohang Li
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  2. Dunke Lu
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  3. Yanhui Tong
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  4. Haibo Li
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Correspondence to Xiaohang Li.

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Li, X., Lu, D., Tong, Y. et al. A New Fault Estimation Observer Design for Nonlinear Markovian Jump Systems: An Interval Type-2 Fuzzy Method. Int. J. Fuzzy Syst. 25, 302–315 (2023). https://doi.org/10.1007/s40815-022-01318-8

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  • DOI: https://doi.org/10.1007/s40815-022-01318-8

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