An Approximation of Interval Type-2 Fuzzy Controllers Using Fuzzy Ratio Switching Type-1 Fuzzy Controllers

Authors:
C. W. Tao; Jinshiuh Taur; Chen-Chia Chuang; Chia-Wen Chang; Yeong-Hwa Chang
Affiliations:
Dept. of Electr. Eng., Nat. Ilan Univ., Ilan, Taiwan;-;-;-;-
Venue:
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Year:
2011

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Applied Intelligence

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Abstract

In this paper, the interval type-2 fuzzy controllers (FCIT2s) are approximated using the fuzzy ratio switching type-1 FCs to avoid the complex type-reduction process required for the interval type-2 FCs. The fuzzy ratio switching type-1 FCs (FCFRST1s) are designed to be a fuzzy combination of the possible-leftmost and possible-rightmost type-1 FCs. The fuzzy ratio switching type-1 fuzzy control technique is applied with the sliding control technique to realize the hybrid fuzzy ratio switching type-1 fuzzy sliding controllers (HFSCFRST1s) for the double-pendulum-and-cart system. The simulation results and comparisons with other approaches are provided to demonstrate the effectiveness of the proposed HFSCFRST1s.