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Adjustable dimension descriptor observer based fault estimation of nonlinear system with unknown input

Author

Listed:
  • Han, Jian
  • Liu, Xiuhua
  • Wei, Xinjiang
  • Zhang, Huifeng
  • Hu, Xin

Abstract

In this paper, the fault estimation problem is considered for nonlinear system with process fault, sensor fault and unknown input. A novel adjustable dimension augmented descriptor observer is designed. Based on the proposed observer, the system state, process and sensor faults can be estimated simultaneously, and the unknown input can be decoupled from the error dynamic. The observer parameters are calculated by solving LMI and matrix equations. The observer order can be selected in a certain range, which is helpful to achieve the compromise between the estimation cost and accuracy. At last, two simulation examples are listed to show the effectiveness of the proposed approach.

Suggested Citation

  • Han, Jian & Liu, Xiuhua & Wei, Xinjiang & Zhang, Huifeng & Hu, Xin, 2021. "Adjustable dimension descriptor observer based fault estimation of nonlinear system with unknown input," Applied Mathematics and Computation, Elsevier, vol. 396(C).
  • Handle: RePEc:eee:apmaco:v:396:y:2021:i:c:s0096300320308523
    DOI: 10.1016/j.amc.2020.125899
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    References listed on IDEAS

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    1. Wang, Jing & Liang, Kun & Huang, Xia & Wang, Zhen & Shen, Hao, 2018. "Dissipative fault-tolerant control for nonlinear singular perturbed systems with Markov jumping parameters based on slow state feedback," Applied Mathematics and Computation, Elsevier, vol. 328(C), pages 247-262.
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    3. Xiong, Jun & Chang, Xiao-Heng & Yi, Xiaojian, 2018. "Design of robust nonfragile fault detection filter for uncertain dynamic systems with quantization," Applied Mathematics and Computation, Elsevier, vol. 338(C), pages 774-788.
    4. Du, Dongsheng & Cocquempot, Vincent & Jiang, Bin, 2019. "Robust fault estimation observer design for switched systems with unknown input," Applied Mathematics and Computation, Elsevier, vol. 348(C), pages 70-83.
    5. Li, Tao & Dai, Zhuxiang & Song, Gongfei & Du, Haiping, 2019. "Simultaneous disturbance estimation and fault reconstruction using probability density functions," Applied Mathematics and Computation, Elsevier, vol. 362(C), pages 1-1.
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