An approximation of interval type-2 fuzzy controllers using fuzzy ratio switching type-1 fuzzy controllers

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

Research output: Contribution to journalJournal Article peer-review

16 Scopus citations

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 HFSCFRST1 s.

Original languageEnglish
Article number5675695
Pages (from-to)828-839
Number of pages12
JournalIEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Volume41
Issue number3
DOIs
StatePublished - 06 2011

Keywords

  • Double-pendulum-and-cart system
  • interval type-2 fuzzy controller (FC)
  • possible-left(right)most FC

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