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Stability analysis of T–S fuzzy coupled oscillator systems influenced by stochastic disturbance

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Abstract

Coupled oscillator systems under the stochastic disturbance in practical have nonlinearity and uncertainty. To overcome the issue, the T–S fuzzy coupled oscillator system (TSFCOS) model is proposed in this paper, which provides an effective solution to coupled oscillator systems that are complex, uncertain and ill-defined. Subsequently, with the proposed nonlinear T–S fuzzy control, we give insight to the stability of the TSFCOSs with stochastic disturbance. Combined Lyapunov method and graph-theoretical technique, a systematic method to construct a global Lyapunov function for TSFCOSs is first provided, and then substantial stability criteria with the condition of the system topology property are obtained. Considering the application of our theoretical results in practical engineering, microgrids (the power networks) can be regarded as a kind of TSFCOSs with stochastic disturbance. With a numerical test of a six-generator seven-bus microgrid, the progressiveness and feasibility of our theoretical results are shown.

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Acknowledgements

This work is supported by the National Natural Science Foundation of China (No. 61773137), the Natural Science Foundation of Shandong Province (Nos. ZR2019MF030 and ZR2018PEE018), China Postdoctoral Science Foundation (No. 2018M641830).

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Authors and Affiliations

  1. School of New Energy, Harbin Institute of Technology (Weihai), Weihai, 264209, People’s Republic of China

    Jiayi Liu, Kaiwen Feng, Yanbin Qu, Huihui Song & Fuqiang Wang

  2. Department of Automation, Shanghai Jiao Tong University, Shanghai, 200240, People’s Republic of China

    Arshad Nawaz

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  1. Jiayi Liu
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  2. Kaiwen Feng
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  3. Yanbin Qu
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  4. Arshad Nawaz
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  5. Huihui Song
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Correspondence to Huihui Song.

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Liu, J., Feng, K., Qu, Y. et al. Stability analysis of T–S fuzzy coupled oscillator systems influenced by stochastic disturbance. Neural Comput & Applic 33, 2549–2560 (2021). https://doi.org/10.1007/s00521-020-05116-x

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  • DOI: https://doi.org/10.1007/s00521-020-05116-x

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