Topic
Fuzzy associative matrix
About: Fuzzy associative matrix is a research topic. Over the lifetime, 8027 publications have been published within this topic receiving 194790 citations.
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TL;DR: This paper investigates H" ~ control for general 2D nonlinear systems based on a 2D Takagi-Sugeno (T-S) fuzzy model and demonstrates that the proposed method is less computationally expensive than the approach in which the input variable, state variable and its forward-stepping state are all separately considered, although these two methods can achieve the same optimal H"~ performance.
50 citations
TL;DR: A formal statement, of fuzzy functional independency, is introduced, which expresses the fact that the corresponding restricted fuzzy functional dependency is not a legitimate constraint of the real world.
50 citations
TL;DR: A method of the stability analysis and systematic design of fuzzy control systems is presented and it is shown that under some conditions the controller designed can guarantee the global stability of the closed-loop fuzzy system.
50 citations
07 May 2000
TL;DR: This paper describes a method how such a multilevel interpolation is possible to combine fuzzy rule interpolation with the use of hierarchical structured fuzzy rule bases.
Abstract: A major issue in the field of fuzzy applications is the complexity of the algorithms used. In order to obtain efficient methods, it is necessary to reduce complexity without losing the easy interpretability of the components. One of the possibilities to achieve complexity reduction is to combine fuzzy rule interpolation with the use of hierarchical structured fuzzy rule bases, as proposed by Sugeno et al. (1991). For interpolation, the method of Koczy and Hirota (1993) is used, but other techniques are also suggested. The difficulty of applying this method is that it is often impossible to determine a partition of any subspace of the original state space so that in all elements of the partition the number of variables can be locally reduced. Instead of this, a sparse fuzzy partition is searched for and so the local reduction of dimensions will be usually possible. In this case however, interpolation in the sparse partition itself, i.e. interpolation in the meta-rule level is necessary. This paper describes a method how such a multilevel interpolation is possible.
50 citations
TL;DR: In this article, the size reduction of the rule base of a fuzzy logic controller for a three-links robot manipulator is discussed. But the reduction of large scale fuzzy rule bases is not considered.
50 citations