Stability analysis of the simplest Takagi–Sugeno fuzzy control system using circle criterion

In this paper, we present two sufficient conditions in the frequency domain for the global stability analysis of the simplest Takagi–Sugeno (T–S) fuzzy control system, based on the circle criterion and its graphical interpretation. These conditions are significant in graphically designing the simple...

Full description

Saved in:
Bibliographic Details
Published in:Information sciences 2007-10, Vol.177 (20), p.4387-4409
Main Authors: Ban, Xiaojun, Gao, X.Z., Huang, Xianlin, Vasilakos, A.V.
Format: Article
Language:English
Subjects:
Circle criterion
Frequency response methods
Proportional controller
Stability analysis
Takagi–Sugeno fuzzy controller
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this paper, we present two sufficient conditions in the frequency domain for the global stability analysis of the simplest Takagi–Sugeno (T–S) fuzzy control system, based on the circle criterion and its graphical interpretation. These conditions are significant in graphically designing the simplest T–S fuzzy controller in the frequency domain. Four numerical examples are provided to demonstrate the efficiency of our two frequency domain-based conditions. Furthermore, this T–S fuzzy controller and the linear proportional controllers are also compared. It is concluded that the simplest T–S fuzzy controller can outperform the linear proportional controllers in a noisy environment with external disturbances.
ISSN:0020-0255
1872-6291
DOI:10.1016/j.ins.2007.03.014