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Discrete Dynamics-Based Parameter Analysis and Optimization of Fuzzy Controller for Inverted Pendulum Systems Based on Chaos Algorithm

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  • Xingguo Xia
  • Jianwei Xia
  • Mingyi Gang
  • Qingfeng Zhang
  • Jing Wang

Abstract

In order to reduce the difficulty in the selection of the quantization factor and the proportion factor in the general fuzzy controller, a controller with the novel algorithm based on the Logistic chaotic variable is proposed in this paper. By introducing the chaotic variable factor into the global search, the suboptimal solution can be obtained and the optimization interval reduced. The global optimal solution is obtained in the vicinity of the suboptimal solution under an integrated performance index. Finally, the control scheme is applied to the control of a double inverted pendulum model. The simulated results show the effectiveness of the proposed method.

Suggested Citation

  • Xingguo Xia & Jianwei Xia & Mingyi Gang & Qingfeng Zhang & Jing Wang, 2020. "Discrete Dynamics-Based Parameter Analysis and Optimization of Fuzzy Controller for Inverted Pendulum Systems Based on Chaos Algorithm," Discrete Dynamics in Nature and Society, Hindawi, vol. 2020, pages 1-8, May.
  • Handle: RePEc:hin:jnddns:3639508
    DOI: 10.1155/2020/3639508
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