Abstract
This document presents a method to construct continuous fuzzy controllers that yield finite-time stability of the closed-loop system. The proposed approach allows the user to follow classical design procedures for fuzzy systems without using other finite-time techniques such as sliding modes. The finite-time stability property is a consequence of a special kind of input membership function of the fuzzy inference system.The continuity properties of the fuzzy inference system are studied. Sufficient conditions for the output of the fuzzy inference system to be Lipschitz continuous are stated.A comparison with the asymptotic counterpart of the controller is also presented. The results support the hypothesis that finite-time controllers provide improved robustness to the steady state response.
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