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

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5 Author(s)
C. W. Tao ; Department of Electrical Engineering, National Ilan University, Ilan, Taiwan ; Jinshiuh Taur ; Chen-Chia Chuang ; Chia-Wen Chang
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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.

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IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics)  (Volume:41 ,  Issue: 3 )