摘要
首先针对双输入单输出模糊系统提出了一种模糊变换方法,指出这种模糊变换不仅与单输入和单输出模糊系统有密切的联系,而且利用这种模糊变换构造的模糊系统具有很好的泛逼近性.然后将这种模糊变换应用到模糊推理建模法中,导出了所研究的模糊系统的微分方程模型和状态空间模型,从而给出了一种新的模糊推理建模法.理论分析和仿真实验均表明:利用模糊变换构造的微分方程对所研究的模糊系统具有很好的泛逼近性.
In this paper, we puts forward a fuzzy transformation method for double-input-single-output fuzzy system, and points out that not only this fuzzy transformation has intimate connections with single-input-single-output fuzzy systems, but also the fuzzy system constructed with this fuzzy transformation has good universal approximation. By applying the fuzzy transformation to the fuzzy reasoning modeling method, we establish a new fuzzy reasoning modeling method and derive the differential equation model and the state-space model for the system which is studied. The theoretical analysis and simulate experiment show that the dif- ferential equations based on fuzzy transformation have good universal approximation.
出处
《电子学报》
EI
CAS
CSCD
北大核心
2013年第4期674-680,共7页
Acta Electronica Sinica
基金
国家自然科学基金(No.90818025
No.61074044)
关键词
模糊控制
模糊变换
泛逼近性
HX方程
状态空间模型
fuzzy control
fuzzy transformation
universal approximation
differential equations
state space model
