Please use this identifier to cite or link to this item: https://doi.org/10.1109/GrC.2010.112
Title: Interval type-2 fuzzy PI controllers: Why they are more robust
Authors: Wu, D.
Tan, W.W. 
Keywords: Interval type-2 fuzzy logic control
Pi control
Robust control
Issue Date: 2010
Source: Wu, D.,Tan, W.W. (2010). Interval type-2 fuzzy PI controllers: Why they are more robust. Proceedings - 2010 IEEE International Conference on Granular Computing, GrC 2010 : 802-807. ScholarBank@NUS Repository. https://doi.org/10.1109/GrC.2010.112
Abstract: Many experiments have shown that interval type-2 (IT2) fuzzy PI controllers are generally more robust than their type-1 (T1) counterparts, as they are better able to cope with disturbances and uncertainties and eliminate oscillations. This paper aims at providing theoretical explanations to these experimental observations. Analysis has shown that the additional degrees of freedom provided by the footprint of uncertainty enable an IT2 fuzzy PI controller to emulate a variable gain PI controller around the origin, and these PI gains are smaller than those of the baseline type-1 fuzzy PI controller; consequently, the same amount of disturbance will cause a smaller control signal change for an IT2 fuzzy PI controller, and hence reduces the risk of oscillation. The results in this paper enable us to connect traditional PI controllers with IT2 fuzzy PI controllers. Based on the closed-form equivalent PI gains, controller design rules in one domain may be transferred to the other domain, and it is possible to develop new control laws by combining the merits of both traditional PI controllers and IT2 fuzzy PI controllers. © 2010 IEEE.
Source Title: Proceedings - 2010 IEEE International Conference on Granular Computing, GrC 2010
URI: http://scholarbank.nus.edu.sg/handle/10635/70659
ISBN: 9780769541617
DOI: 10.1109/GrC.2010.112
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