基于过半可信原则的三I算法模糊控制器及其响应能力

Fuzzy Controllers for Triple I Algorithm Based on Principle of Over-half Reliability and Their Ability to Respond

给出了49个模糊蕴涵算子基于过半可信原则的三I算法的表达式,在此基础上详细讨论这49个模糊蕴涵算子基于过半可信原则三I算法构成的单输入单输出和双输入单输出模糊控制器,并分析了它们的响应能力.结果表明:在这49个模糊蕴涵算子中,只有一个模糊蕴涵算子基于过半可信原则三I算法构成的模糊控制器具有函数的泛逼近性;另有一个模糊蕴涵算子基于过半可信原则三I算法构成的模糊控制器近似为拟合函数;44个模糊蕴涵算子基于过半可信原则三I算法构成的模糊控制器只具有阶跃响应能力;3个模糊蕴涵算子基于过半可信原则三I算法构成的模糊控制器为未定型.

In this paper, the representative formulas of triple I algorithm based on principle of over-half reliability for 49 fuzzy implication operators are given. Under triple I algorithm based on principle of over-half reliability, single-input singleoutput and double-input single-output fuzzy controllers constructed by these fuzzy implication operators and their response ability are discussed. The conclusions show that in these fuzzy implication operators, only one of them forms fuzzy controller being universal approximator to continuous function, another of them forms fuzzy controller being regarded approximately as fitted function, forty-four fuzzy implication operators Of them form fuzzy controllers with only step response ability, the rest three fuzzy implication operators construct fuzzy controllers being regarded as indefinite forms.