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Observer-Based Fault Diagnosis of Nonlinear Systems via an Improved Homogeneous Polynomial Technique

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Abstract

The problem of observer-based fault diagnosis is investigated for a class of nonlinear systems via an improved homogeneous polynomial technique (HPT). In the design of the estimator, some adjustable parameters are introduced that can lead to less conservatism. By developing an improved HPT, the employment of multi-instant and multi-index can achieve desired \(H_{\infty }\) system performance. A tunnel diode circuit example is shown to demonstrate that (1) less conservative results are expected in comparison with existing ones; and (2) faults can be distinguished in only a few steps after their occurrence.

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Acknowledgements

This work was in part supported by Natural Science Foundation of China (NSFC) under Grant NSFC 61533010, 61374055 and the Ph.D. Programs Foundation of the Ministry of Education of China under Grant 20110142110036.

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Authors and Affiliations

  1. Institute of Advanced Technology, Nanjing University of Posts and Telecommunications, Nanjing, 210023, People’s Republic of China

    Hui Ge, Dong Yue & Xiangpeng Xie

  2. School of Automation Engineering, Nanjing University of Posts and Telecommunications, Nanjing, 210023, People’s Republic of China

    Hui Ge & Dong Yue

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  1. Hui Ge
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  2. Dong Yue
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Correspondence to Xiangpeng Xie.

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Ge, H., Yue, D. & Xie, X. Observer-Based Fault Diagnosis of Nonlinear Systems via an Improved Homogeneous Polynomial Technique. Int. J. Fuzzy Syst. 20, 403–415 (2018). https://doi.org/10.1007/s40815-017-0334-x

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  • DOI: https://doi.org/10.1007/s40815-017-0334-x

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