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A Comparison between Fuzzy, PI and B-spline Control

Constancis, P. and Harris, C.J. (1992) A Comparison between Fuzzy, PI and B-spline Control At Int. Symp. on Intelligent Control. , 372--373.

Record type: Conference or Workshop Item (Other)


Fuzzy control is a rule-based control in which fuzzy logic interpolates between production rules. That is why it interesting to compare it with classical interpolation techniques like B-splines. A B-spline function is a piecewise polynomial function. A B-spline controller is defined as a controller that maps inputs to outputs using a B-spline surface. This controller can be interpreted as a fuzzy controller with the probability operators product and sum instead of Zadeh operators min and max. B-splines also provide a framework for choosing the shape of the fuzzy sets. Using this method, we obtain much smoother control surfaces than with the usual fuzzy operators and can readily obtain a linear PI controller. This new viewpoint, which is very fruitful, suggests also new ways to adapt fuzzy controllers. A comparison with neural networks is made.

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Published date: 1992
Additional Information: Organisation: IEEE Address: Glasgow, UK
Venue - Dates: Int. Symp. on Intelligent Control, 1992-01-01
Organisations: Southampton Wireless Group


Local EPrints ID: 250261
PURE UUID: d1ba428f-52c5-4b17-a695-b2c6262bbe01

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Date deposited: 04 May 1999
Last modified: 18 Jul 2017 10:43

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Author: P. Constancis
Author: C.J. Harris

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