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An Improved Fuzzy Modeling Method for a Class of Multi-Input Non-affine Nonlinear Systems

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Abstract

In this paper, an improved fuzzy modeling method is developed for a class of non-affine nonlinear systems. The idea comes from the concepts of the optimization tools and the Takagi–Sugeno fuzzy modeling technique. Specifically, this method is suitable especially for non-affine nonlinear systems. Two benchmark single-input and one multi-input non-affine nonlinear systems are illustrated to show that the proposed modeling scheme is superior to existing modeling methods.

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Acknowledgements

The authors thank all reviewers for helpful comments and thank the editors for useful suggestions. This work was supported by the National Science Council of Taiwan, R.O.C., under Grant NSC-100-2221-E-027-017 and NSC-101-2221-E-027-141-.

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  1. Graduate Institute of Automation Technology, National Taipei University of Technology, 1, Sec. 3, Chung-hsiao E. Rd., Taipei, 10608, Taiwan

    Shun-Hung Tsai

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  1. Shun-Hung Tsai
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Correspondence to Shun-Hung Tsai.

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Communicated by Lotfi A. Zadeh.

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Tsai, SH. An Improved Fuzzy Modeling Method for a Class of Multi-Input Non-affine Nonlinear Systems. J Optim Theory Appl 157, 287–296 (2013). https://doi.org/10.1007/s10957-012-0177-4

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  • DOI: https://doi.org/10.1007/s10957-012-0177-4

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