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

In this paper, the interval type-2 fuzzy controllers (FC IT2 s) 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 (FC FRST1 s) are designed to be a fuzzy combination of th...

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Bibliographic Details
Published in:IEEE transactions on cybernetics 2011-06, Vol.41 (3), p.828-839
Main Authors: Tao, C W, Jinshiuh Taur, Chen-Chia Chuang, Chia-Wen Chang, Yeong-Hwa Chang
Format: Article
Language:English
Subjects:
Algorithms
Approximation
Approximation methods
Artificial Intelligence
Computer Simulation
Cybernetics
Double-pendulum-and-cart system
Feedback
Fuzzy
Fuzzy control
Fuzzy Logic
Fuzzy set theory
Fuzzy sets
interval type-2 fuzzy controller (FC)
Intervals
Models, Theoretical
Nonlinear Dynamics
possible-left(right)most FC
Signal Processing, Computer-Assisted
Simulation
Switches
Switching
Uncertainty
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Summary:In this paper, the interval type-2 fuzzy controllers (FC IT2 s) 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 (FC FRST1 s) 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 (HFSC FRST1 s) for the double-pendulum-and-cart system. The simulation results and comparisons with other approaches are provided to demonstrate the effectiveness of the proposed HFSC FRST1 s.
ISSN:1083-4419
2168-2267
1941-0492
2168-2275
DOI:10.1109/TSMCB.2010.2095840