Mathematical Model of the Simplest Fuzzy PID Controller with Asymmetric Fuzzy Sets

Mohan, B M and Ghosh, Arpita (2008) Mathematical Model of the Simplest Fuzzy PID Controller with Asymmetric Fuzzy Sets. In: Proceedings of the 17th World Congress, July 6-11, 2008, Seoul, Korea.

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Abstract

This paper deals with the simplest fuzzy PID controllers which employ two fuzzy sets for each of the three input variables and four fuzzy sets for the output variable. Mathematical model for a fuzzy PID controller is derived by using asymmetric Γ-function type and L-function type membership functions for each input, asymmetric trapezoidal membership functions for output, algebraic product triangular norm, bounded sum triangular conorm, Mamdani minimum inference, nonlinear control rules, and center-of-sums (COS) defuzzification. The effectiveness of the simplest fuzzy PID controller is demonstrated by means of a numerical example along with its simulation results.

Item Type:Conference or Workshop Item (Paper)
Official URL/DOI:http://eprints.nmlindia.org/5952
Uncontrolled Keywords:Mathematical model, fuzzy controller
Divisions:Material Science and Technology
ID Code:5952
Deposited By:DR ARPITA GHOSH SINHA
Deposited On:24 Aug 2012 10:09
Last Modified:03 Sep 2012 17:12
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