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This paper presents an educational library to be used with the MATLAB/Simulink package from the Mathworks company for the design of fuzzy controllers. This free library, named FlouLib, has its foundations in a clear representation of the fuzzy interfaces (fuzzification, inference, defuzzification). First, Mamdani-type conventional fuzzy logic controllers are presented, including when rulebases are chained. Then, from the modal equivalence principle, advanced Takagi-Sugeno fuzzy controllers are introduced especially those relying on input-output linearization techniques. Examples, all available in FlouLib demos, are used to show the potentialities of FlouLib for control engineering curricula.