Stability analysis of the simplest t-s fuzzy control system using the off-axis circle criterion

In this paper, on the basis of the off-axis circle criterion, a sufficient condition with simple graphical explanations is derived to guarantee the global asymptotic stability of the simplest Takagi-Sugeno (T-S) fuzzy control system. Two numerical examples are given to demonstrate how to use this criterion in analyzing the T-S fuzzy control systems.

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