模糊控制器通常由模糊化、模糊推理以及清晰化三部分构成,而模糊推理决定了一个由输入论域到输出论域的模糊映射.当模糊映射为常值映射时,任意选择模糊化和去模糊化方式,模糊控制器的输出值不因输入信号变化而改变.本文给出了模糊映射为常值映射的两个充分条件,并将结论从单入单出模糊系统推广到多入单出模糊系统.
A fuzzy controller is usually composed of three parts: fuzzification, fuzzy inference and defuzzification. The fuzzy inference defines a fuzzy mapping from the input universe to the output universe. When the fuzzy mapping is a constant mapping, for any given fuzzification and defuzzification methods, the output of the fuzzy controller will never change with the input value. Two sufficient conditions are proposed under which the fuzzy mapping will remain constant. These conclusions are generalized from the single-input single-output fuzzy system to the multiple-input single-output one.