Please use this identifier to cite or link to this item: https://doi.org/10.1109/FUZZY.2010.5584078
Title: Derivation of the analytical structure of symmetrical IT2 fuzzy PD and PI controllers
Authors: Nie, M.
Wan Tan, W. 
Issue Date: 2010
Source: Nie, M.,Wan Tan, W. (2010). Derivation of the analytical structure of symmetrical IT2 fuzzy PD and PI controllers. 2010 IEEE World Congress on Computational Intelligence, WCCI 2010 : -. ScholarBank@NUS Repository. https://doi.org/10.1109/FUZZY.2010.5584078
Abstract: This paper introduces the analytical structure of a class of interval type-2 (IT2) fuzzy PD and PI controllers that have symmetrical rule base. Two assumptions are made: (1) Zadeh AND operator is employed as the t-norm operator; (2) the centroid type-reduction method is used. The main contribution of this paper is the analytical relationship between the inputs and output of this IT2 fuzzy controller. Comparing with its T1 counterpart, the addition of two FOU parameters generated 31 extra local regions that each provides a unique relationship between the inputs and output signals. The relatively large number of local regions that results, at the cost of two extra design parameters, means that an IT2 fuzzy controller has the potential to provide better performance. Another outcome is the analysis of the centroid type-reduction algorithm yielded closed form expressions for each partition. This result may provide a platform for further theoretical study. © 2010 IEEE.
Source Title: 2010 IEEE World Congress on Computational Intelligence, WCCI 2010
URI: http://scholarbank.nus.edu.sg/handle/10635/69813
ISBN: 9781424469208
DOI: 10.1109/FUZZY.2010.5584078
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