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A robust game optimization for electromagnetic buffer under parameters uncertainty

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Abstract

The resistance force variation of the electromagnetic buffer is its core performance. To reduce its peak values, this paper designs a segmented electromagnetic buffer scheme, and further proposes a novel optimization framework based on robust game theory considering the parameter uncertainty. The most challenging step of the robust Nash problem is to identify the worst-case scenario of the cost function under uncertainty. To attack this, an interval model is applied to describe the necessary uncertainty. Using the affine arithmetic, the uncertainty quantity is re-written into affine form; thus, the worst-case scenario of the cost function can be directly obtained. However, affine arithmetic can only deal with functions with explicit expressions. To address such deficiency, the Chebyshev polynomial expansion is formulated to convert the cost functions of the original electromagnetic buffer model into explicit expressions. The detailed assessment results demonstrate the effectiveness of the proposed approach for better resultant force performance; besides, it significantly improves the computational efficiency without compromising accuracy when solving the robust Nash equilibrium.

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Funding

This paper is supported by the National Natural Science Foundation of China, (No. 52175099), **uye Wang, (No. 52105106), Liqun Wang, China National Postdoctoral Program for Innovative Talents, (No. BX202112), Liqun Wang, Jiangsu Province Natural Science Foundation, (No. BK20210342), Liqun Wang, Jiangsu Planned Projects for Postdoctoral Research Funds, (No. 2021K008A), Liqun Wang, Nan**g Municipal Human Resources and Social Security Bureau, (No. MCA21121), Liqun Wang, China Postdoctoral Science Foundation, (No. 2021M701711), Liqun Wang, (No.2021M702023), Zixuan Li.

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Authors and Affiliations

  1. School of Mechanical Engineering, Nan**g University of Science and Technology, Nan**g, 210094, People’s Republic of China

    Fengjie Xu, Guolai Yang, Liqun Wang & **uye Wang

  2. School of Mechanical Engineering, Shandong University of Technology, Zibo, 255000, People’s Republic of China

    Zixuan Li

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  1. Fengjie Xu
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  2. Guolai Yang
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  3. Liqun Wang
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Correspondence to Guolai Yang.

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Xu, F., Yang, G., Wang, L. et al. A robust game optimization for electromagnetic buffer under parameters uncertainty. Engineering with Computers 39, 1791–1806 (2023). https://doi.org/10.1007/s00366-021-01561-x

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