Stability analysis of variation model for linguistic fuzzy modeling

Author

Suratgar, A.A. ; Nikravesh, S.K.

Author_Institution

Dept. of Electr. Eng., Amirkabir Univ. of Technol., Tehran, Iran

Volume

1

fYear

2003

Firstpage

108

Abstract

This paper presents two new approaches for linguistic modeling which are suitable for stability analysis of linguistic models. The first approach, which is named called Infinite Place model, is described by modified fuzzy Petri net and uses a new place definition based on physical infinity state. This method has some practical difficulties. In order to overcome practical difficulties, variation model is presented. The paper presents some definitions and a necessary and sufficient condition for linguistic fuzzy system stability. This stability analysis method is verified using a benchmark network simulation.

Keywords

Petri nets; computational linguistics; fuzzy control; robust control; stability criteria; step response; LTI systems; benchmark network simulation; infinite place model; linguistic fuzzy modeling; modified fuzzy Petri net; physical infinity state; simple nonlinear system; stability analysis; stability analysis method; variation model; Analytical models; Fuzzy control; Fuzzy systems; H infinity control; Mathematical model; Paper technology; Petri nets; Robust stability; Stability analysis; Sufficient conditions;

fLanguage

English

Publisher

ieee

Conference_Titel

Fuzzy Systems, 2003. FUZZ '03. The 12th IEEE International Conference on

Print_ISBN

0-7803-7810-5

Type

conf

DOI

10.1109/FUZZ.2003.1209346

Filename

1209346