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A novel LS-SVM control for unknown nonlinear systems with application to complex forging process

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Abstract

A novel LS-SVM control method is proposed for general unknown nonlinear systems. A linear kernel LS-SVM model is firstly developed for input/output (I/O) approximation. The LS-SVM control law is then derived directly from this developed model without any approximation and assumption. It further proves that the control error is fully equal to the LS-SVM modeling error. This means that a desirable control performance can be achieved because the LS-SVM has been proven to have an outstanding modeling ability in the previous studies. Case studies finally demonstrate the effectiveness of the proposed LS-SVM control approach.

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Authors and Affiliations

  1. School of Mechanical and Electrical Engineering, Central South University, Changsha, 410083, China

    Bin Fan  (范彬), Xin-jiang Lu  (陆新江) & Ming-hui Huang  (黄明辉)

  2. College of Mechanical and Electrical Engineering, Hunan City University, Yiyang, 413002, China

    Bin Fan  (范彬)

Authors
  1. Bin Fan  (范彬)
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  2. Xin-jiang Lu  (陆新江)
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  3. Ming-hui Huang  (黄明辉)
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Corresponding author

Correspondence to Xin-jiang Lu  (陆新江).

Additional information

Foundation item: Project(51205420) supported by the National Natural Science Foundation of China; Project(NCET-13-0593) supported by the Program for New Century Excellent Talents in University, China; Project(14C0208) supported by the Research Foundation of Education Bureau of Hunan Province, China

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Fan, B., Lu, Xj. & Huang, Mh. A novel LS-SVM control for unknown nonlinear systems with application to complex forging process. J. Cent. South Univ. 24, 2524–2531 (2017). https://doi.org/10.1007/s11771-017-3665-8

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  • DOI: https://doi.org/10.1007/s11771-017-3665-8

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