Stability Analysis of a Type of T-S Fuzzy Control Systems Using Off-Axis Circle Criterion

Abstract

In this paper, based on the off-axis circle criterion, a sufficient condition with a simple graphical explanation is derived to analyze the global asymptotic stability of a type of Takagi-Sugeno (T-S) fuzzy control systems in case of different constant reference inputs. Three numerical examples are given to demonstrate how to use the proposed method in analyzing the T-S fuzzy control systems.

Keywords

• T-S fuzzy control systems
• stability analysis
• circle criterion
• off-axis circle criterion