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Reduced Fuzzy Controllers for Lorenz–Stenflo System Control and Synchronization

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Abstract

The article study chaos control and chaos synchronization of Lorenz–Stenflo system that used full states controllers, two states controllers (u 2 and u 3), and single-state controller (u 3) by Takagi–Sugeno fuzzy theory. Further, the convergence times of chaos control and chaos synchronization are shorten about 18.03–29.56 and 40.19–43.65 % that are compare with full states control, respectively. The system reduces the number of controllers, so it can cost down of the control system. The single-state controller and two states controllers are presented in the simulation results to show the effectiveness and feasibility of our new design rule.

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Acknowledgments

This research was supported by the National Science Council, Republic of China, under Grant Number NSC 102-2221-E-011-034.

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Authors and Affiliations

  1. Graduate Institute of Automation and Control, National Taiwan University of Science and Technology, No 43 Sect. 4, Keelung Road, Taipei, 106, Taiwan, ROC

    Cheng-Hsiung Yang, Cheng-Lin Wu, You-Jhong Chen & Shen-Hsiang Shiao

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  1. Cheng-Hsiung Yang
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  2. Cheng-Lin Wu
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  3. You-Jhong Chen
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  4. Shen-Hsiang Shiao
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Correspondence to Cheng-Hsiung Yang.

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Yang, CH., Wu, CL., Chen, YJ. et al. Reduced Fuzzy Controllers for Lorenz–Stenflo System Control and Synchronization. Int. J. Fuzzy Syst. 17, 158–169 (2015). https://doi.org/10.1007/s40815-015-0032-5

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  • DOI: https://doi.org/10.1007/s40815-015-0032-5

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