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Stochastic synchronization of nonlinear energy resource system via partial feedback control

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Abstract

This paper addresses stochastic synchronization issue of the four-dimensional energy resource system with stochastic noises based on partial states. By using the adaptive control approach, in the case of only parts of states are available, several sufficient conditions are derived to ensure synchronization of the nonlinear energy resource system under noise perturbation. Furthermore, robust synchronization in the presence of parameter mismatches is also considered. To be pointed out that, the important feature of the proposed method is that synchronization could be achieved through the control of only parts of available variables even with stochastic noises. Finally, a numerical example with simulation results is provided to illustrate and verify the effectiveness of the obtained results.

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Acknowledgements

This work was supported in part by the National Natural Science Foundation of China under Grants 61104045, 51107032 and 51277052, in part by the State Key Program of National Natural Science Foundation of China under Grant 51137002, and in part by the Fundamental Research Funds for the Central Universities of China under Grants B12020035 and 2010B05914.

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Authors and Affiliations

  1. College of Energy and Electrical Engineering, Hohai University, Nanjing, 210098, China

    Yonghui Sun, Zhinong Wei, Guoqiang Sun, Ping Ju & Yanfang Wei

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  1. Yonghui Sun
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  2. Zhinong Wei
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  3. Guoqiang Sun
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  4. Ping Ju
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  5. Yanfang Wei
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Correspondence to Yonghui Sun.

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Sun, Y., Wei, Z., Sun, G. et al. Stochastic synchronization of nonlinear energy resource system via partial feedback control. Nonlinear Dyn 70, 2269–2278 (2012). https://doi.org/10.1007/s11071-012-0617-6

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  • DOI: https://doi.org/10.1007/s11071-012-0617-6

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