An index of applicability for the decomposition method of multivariable fuzzy systems

Author

Lee, Pyeong G. ; Lee, Kyun K. ; Jeon, Gi J.

Author_Institution

Dept. of Electron. Eng., Kyungpook Nat. Univ., Taegu, South Korea

Volume

3

Issue

3

fYear

1995

fDate

8/1/1995 12:00:00 AM

Firstpage

364

Lastpage

369

Abstract

Research on the application of fuzzy set theory to the design of control systems has led to interest in decomposition of multivariable fuzzy systems. Decomposition of multivariable control rules is preferable since it alleviates the complexity of the problem, but the inference error is inevitable because of its approximate nature. In this paper we show that a large inference error is generated when the Gupta´s decomposition method (1986) is applied to Exclusive-nor (ENOR) gate model which is used as a counter example. We define an index of applicability which can classify whether the decomposition method can be applied to a multivariable fuzzy system or not

Keywords

control system synthesis; fuzzy control; fuzzy set theory; multivariable control systems; ENOR gate model; EXNOR gate model; applicability index; complexity; control systems design; decomposition method; exclusive-nor gate model; fuzzy set theory; multivariable fuzzy systems; Control systems; Control theory; Counting circuits; Error correction; Fuzzy control; Fuzzy set theory; Fuzzy systems; MIMO; Nonlinear control systems; Transfer functions;

fLanguage

English

Journal_Title

Fuzzy Systems, IEEE Transactions on

Publisher

ieee

ISSN

1063-6706

Type

jour

DOI

10.1109/91.413224

Filename

413224