Analytical structures and analysis of the simplest fuzzy PD controllers

Author

Mohan, B.M. ; Patel, Ambalal V.

Author_Institution

Dept. of Electr. Eng., Indian Inst. of Technol., Kharagpur, India

Volume

32

Issue

2

fYear

2002

fDate

4/1/2002 12:00:00 AM

Firstpage

239

Lastpage

248

Abstract

This paper deals with simplest fuzzy PD controllers which employ only two fuzzy sets on the universe of discourse of each input variable, and three fuzzy sets on the universe of discourse of output variable. First, analytical structures of the simplest fuzzy PD controllers are derived via triangular membership functions for fuzzification, intersection T-norm, Lukasiewicz OR and Zadeh (1965) OR T-conorms, Mamdani´s minimum, Larsen´s product and drastic product inference methods, and center of area method for defuzzification. Properties of such fuzzy PD controllers are investigated. Based on these properties a comparative study is made on fuzzy controllers derived, and also on the fuzzy controllers and their counterpart-conventional linear PD controller. Finally, sufficient conditions for bounded-input bounded-output stability of fuzzy PD control systems are established using the well known small gain theorem

Keywords

fuzzy control; robust control; two-term control; analytical structures; bounded-input bounded-output stability; center of area method; drastic product inference methods; fuzzification; fuzzy PD controllers; fuzzy sets; input variable; intersection T-norm; output variable; triangular membership functions; universe of discourse; Boilers; Control systems; Fuzzy control; Fuzzy sets; Fuzzy systems; Input variables; PD control; Stability analysis; Steam engines; Sufficient conditions;

fLanguage

English

Journal_Title

Systems, Man, and Cybernetics, Part B: Cybernetics, IEEE Transactions on

Publisher

ieee

ISSN

1083-4419

Type

jour

DOI

10.1109/3477.990881

Filename

990881