A linear output structure for fuzzy logic controllers

  • Authors:
  • Hailong Sun;Lixiang Liu

  • Affiliations:
  • Institute of Automation, QuFu Normal University, QuFu 273165, Shandong Province, China;Department of Automation, Shanghai Jiaotong University, Shang hai 200030, China

  • Venue:
  • Fuzzy Sets and Systems - Modeling and control
  • Year:
  • 2002

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Abstract

In this paper, the output structure of multiple-input-single-output fuzzy logic controller (FLCr) is studied. The input and output variables of the FLCr are all characterized by normal triangular-shaped membership functions and fuzzy partitions are considered for corresponding universes of discourse. A special mapping, linear rule mapping [(Fuzzy Sets and Systems 57 (1993) 149)], which describes the relationship between the input variables and the output variables of one rule is used. The conclusion proposed is that the output of multiple-input-single-output FLCr can be represented by the convex linear combination of its crisp input variables. A precise mathematical model of FLCr, which is helpful to analyze fuzzy control and tune the fuzzy logic controller, is given.