Abstract
Interval Type-2 (IT2) fuzzy controllers are quite efficient in handling disturbances and uncertainties. This is mainly due to the Footprint of Uncertainty (FoU) in type-2 fuzzy sets. However the computational complexity also increases with FoU. Therefore we propose a simplified structure of IT2 Takagi-Sugeno (TS) fuzzy two-term controller in this paper. A novel TS rule base is introduced which incorporates uncertainty in the input type-2 fuzzy sets and also in the rule consequent parameters. The rule base consists of two rules which are logically connected with ‘Algebraic Product (AP)’ AND operator and ‘Bounded Sum (BS)’ OR operator. AP and BS operators enable the simplification of the input plane which in turn reduces the complexity of the controller structure. Further, the performance of the controller structure is evaluated through simulation study on a nonlinear (coupled-tank) system.
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