DESIGN AND APPROXIMATION CAPABILITIES ANALYSIS OF TIME-VARIANT FUZZY SYSTEMS

被引：0

作者：

Wang, Degang ^{[1
]}

Song, Wenyan ^{[2
]}

Li, Hongxing ^{[1
]}

机构：

[1] Dalian Univ Technol, Fac Elect Informat & Elect Engn, Dalian 116023, Peoples R China

[2] Dongbei Univ Finance & Econ, Dept Quantitat Econ, Dalian 116025, Peoples R China

来源：

INTERNATIONAL JOURNAL OF INNOVATIVE COMPUTING INFORMATION AND CONTROL | 2011年 / 7卷 / 03期

基金：

中国国家自然科学基金; 中国博士后科学基金;

关键词：

Time-variant fuzzy system; Variable weighted interpolating modeling method; Universal approximators; Nonlinear systems; SUFFICIENT CONDITIONS;

D O I：

暂无

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

In this paper, the design and analysis for a class of time-variant fuzzy systems are investigated. Firstly, a novel modeling method for time-variant fuzzy system, called variable weighted interpolating modeling (VWIM)method is proposed. It is pointed out that the time-variant fuzzy systems constructed by VWIM method can be represented by some interpolation functions. Then, VWIM method is applied to the nonlinear dynamic systems modeling. It is proved that time-variant fuzzy systems based on VWIM method are universal approximators to a class of nonlinear systems. And, the approximation error bounds for various classes of time-variant fuzzy systems are established. Finally, a simulation example is provided to demonstrate how to utilize a time-variant fuzzy system to approximate a given nonlinear system with arbitrary precision.

引用

页码：1121 / 1132

页数：12

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