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Type-2 fuzzy controllers have been mostly viewed and treated as black boxes in that their input-output mathematical mappings (i.e., analytical structures) are unknown. In contrast, this is never the case for any conventional controller. In this paper, we show an innovative analytical structure derivation technique for the interval Type-2 TS fuzzy controllers whose configurations are as follows: two...
Type-2 (T2) fuzzy controllers are emerging as the related T2 fuzzy logic, and algorithms have recently been advancing rapidly. At present, a T2 fuzzy controller is viewed and used as a black-box function generator that produces a desired nonlinear mapping between the input and output of the controller (we call the mapping analytical structure). The mathematical expression of the analytical structure,...
Most fuzzy controllers, type-1 (T1) or type-2 (T2), have been used and treated as black boxes in that their explicit mathematical input-output mappings (i.e., analytical structures) are unknown. Revealing and analyzing the analytical structure is important as it will lay a solid foundation for better understanding, more insightful analysis, and more effective design of fuzzy control systems. We previously...
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