Application of limit fuzzy controllers to stability analysis.

*(English)*Zbl 0764.93055Summary: We propose a method to examine the stability of fuzzy control systems. It is based on the limit law of fuzzy controllers constructed from regular fuzzy rules. The main idea is to use Lyapunov functions for the system with limit laws to examine the stability of the system with fuzzy controllers. This method is particularly useful when the system and the limit law are both linear. It is applied to an inverted pendulum system. Two cases with and without friction are considered. Simulation results and the analysis confirm certain experimental and theoretical results already reported.

##### MSC:

93C42 | Fuzzy control/observation systems |

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\textit{F. Bouslama} and \textit{A. Ichikawa}, Fuzzy Sets Syst. 49, No. 2, 103--120 (1992; Zbl 0764.93055)

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