Mohan, B M and Ghosh, Arpita (2008) *Mathematical models of the simplest fuzzy PI/PD controllers with skewed input and output fuzzy sets.* ISA Transactions , 47 . pp. 300-310.

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## Abstract

This paper unveils mathematical models for fuzzy PI/PD controllers which employ two skewed fuzzy sets for each of the two-input variables and three skewed fuzzy sets for the output variable. The basic constituents of these models are Γ -type and L-type membership functions for each input, trapezoidal/triangular membership functions for output, intersection/algebraic product triangular norm, maximum/drastic sum triangular conorm, Mamdani minimum/Larsen product/drastic product inference method, and center of sums defuzziﬁcation method. The existing simplest fuzzy PI/PD controller structures derived via symmetrical fuzzy sets become special cases of the mathematical models revealed in this paper. Finally, a numerical example along with its simulation results are included to demonstrate the effectiveness of the simplest fuzzy PI controllers.

Item Type: | Article |
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Official URL/DOI: | http://dx.doi.org/10.1016/j.isatra.2007.03.008 |

Uncontrolled Keywords: | Fuzzy PI/PD control; Fuzzy inference; t-norms; t-conorms; Mathematical models; Skewed fuzzy sets |

Divisions: | Material Science and Technology |

ID Code: | 5949 |

Deposited By: | DR ARPITA GHOSH SINHA |

Deposited On: | 24 Aug 2012 10:13 |

Last Modified: | 03 Sep 2012 17:15 |

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