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

Author

Tao, C.W. ; Taur, Jinshiuh ; Chuang, Chen-Chia ; Chang, Chia-Wen ; Chang, Yeong-Hwa

Author_Institution

Dept. of Electr. Eng., Nat. Ilan Univ., Ilan, Taiwan

Volume

41

Issue

3

fYear

2011

fDate

6/1/2011 12:00:00 AM

Firstpage

828

Lastpage

839

Abstract

In this paper, the interval type-2 fuzzy controllers (FC^IT2s) 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^FRST1s) 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^FRST1s) 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^FRST1s.

Keywords

fuzzy control; variable structure systems; approximation; complex type-reduction process; double-pendulum-and-cart system; fuzzy ratio switching type-1; interval type-2 fuzzy controllers; sliding control technique; Approximation methods; Fuzzy control; Fuzzy sets; Simulation; Switches; Uncertainty; Double-pendulum-and-cart system; interval type-2 fuzzy controller (FC); possible-left(right)most FC; Algorithms; Artificial Intelligence; Computer Simulation; Feedback; Fuzzy Logic; Models, Theoretical; Nonlinear Dynamics; Signal Processing, Computer-Assisted;

fLanguage

English

Journal_Title

Systems, Man, and Cybernetics, Part B: Cybernetics, IEEE Transactions on

Publisher

ieee

ISSN

1083-4419

Type

jour

DOI

10.1109/TSMCB.2010.2095840

Filename

5675695