Stability Analysis of the Simplest Takagi-Sugeno Fuzzy Control System Using Circle Criterion

In this paper, a sufficient condition is derived to guarantee the globally asymptotic stability of the simplest Takagi-Sugeno (T-S) fuzzy control system based on the circle criterion. Two numerical examples are given to demonstrate how to use this condition in analyzing the T-S fuzzy control systems. Performance comparisons are also made between the simplest T-S fuzzy controller and linear compensators.

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