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Structure analysis of a class of fuzzy controllers using pseudo trapezoid shaped membership functions

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Abstract

An output expression of a class of dual-input single-output fuzzy controllers using pseudo trapezoid shaped membership function is given. By structure analysis it is proved that this class of fuzzy controllers is the sum of a global two-dimensional multi-level relay and a local linear or nonlinear proportional-integral or proportional-differential controller. And the output of this class of fuzzy controllers is a continuous, non-decreasing function of its input variables. These and other meaningful results derived from structure analysis based on the output expressions can guide the design of fuzzy controllers.

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Authors and Affiliations

  1. Automation Department, Tsinghua University, 100084, Beijing, China

    Ke Zeng, Naiyao Zhang & Wenli Xu

Authors
  1. Ke Zeng
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  2. Naiyao Zhang
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  3. Wenli Xu
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Correspondence to Ke Zeng.

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Zeng, K., Zhang, N. & Xu, W. Structure analysis of a class of fuzzy controllers using pseudo trapezoid shaped membership functions. Sci. China Ser. E-Technol. Sci. 43, 263–274 (2000). https://doi.org/10.1007/BF02916830

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  • DOI: https://doi.org/10.1007/BF02916830

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