Abstract

A sufficient stability condition in the frequency domain is presented for a type of muti-rules proportional Takagi-Sugeno (T-S) fuzzy control system by using the technique of loop transformation and the circle criterion. This condition can be utilized to geometrically analyze the global asymptotical stability of such T-S fuzzy control system. Two numerical examples are given to illustrate how to use this condition to analyze the T-S fuzzy control systems.

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