A fast piecewise-linear implementation of fuzzy controllers

Author

Jiménez, A. ; Matía, F.

Author_Institution

Dept. de Autom., Ingenieria Electron. e Inf. Ind., Univ. Politecnica de Madrid, Spain

fYear

1994

fDate

18-21 Dec 1994

Firstpage

27

Lastpage

31

Abstract

This paper discusses how it is possible to develop a fuzzy controller by means of a collection of points (guide points) and a linear interpolation between them, when some conditions are satisfied. The use of the product as t-norm and the bounded sum as s-norm, the use of normal and triangular membership functions and an adequate overlapping between them, are some of the required conditions to obtain this simplified fuzzy controllers. With this idea it is possible to design fuzzy PID like piecewise-linear controllers, which will originate in a less computational cost

Keywords

fuzzy control; piecewise-linear techniques; PID like piecewise-linear controllers; fuzzy controllers; linear interpolation; normal membership functions; overlapping; piecewise-linear controllers; piecewise-linear implementation; s-norm; t-norm; triangular membership functions; Computational efficiency; Error correction; Fuzzy control; Fuzzy sets; Gravity; Industrial control; Interpolation; Piecewise linear techniques; Proportional control; State-space methods;

fLanguage

English

Publisher

ieee

Conference_Titel

Fuzzy Information Processing Society Biannual Conference, 1994. Industrial Fuzzy Control and Intelligent Systems Conference, and the NASA Joint Technology Workshop on Neural Networks and Fuzzy Logic,

Conference_Location

San Antonio, TX

Print_ISBN

0-7803-2125-1

Type

conf

DOI

10.1109/IJCF.1994.375156

Filename

375156