基于多分辨率分析的T-S模糊系统及其函数逼近

Fifth World Congress on Intelligent Control and Automation (IEEE Cat. No.04EX788) Pub Date : 2004-06-15 DOI:10.1109/WCICA.2004.1340566

Hui Wang, Jian Xiao

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引用次数: 7

摘要

受小波变换多分辨率分析理论的启发，提出了一种用于非线性函数逼近的新型T-S模糊系统。模糊规则的前分量由频率因子构成，后分量由T-S模糊子系统构成。T-S模糊子系统的模糊隶属函数是由多分辨率尺度函数生成的。然后，分析了模糊系统的函数逼近。随后，基于b样条尺度函数的多分辨率特性，提出了模糊系统的结构识别算法。仿真结果表明，该模糊系统能有效逼近非线性函数，模糊隶属函数具有可解释性和多分辨率特性。

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T-S fuzzy system based on multi-resolution analysis and its function approximation

Inspired by the theory of multi-resolution analysis of wavelet transform, a novel T-S fuzzy system was proposed for approximating nonlinear function. The ante-components of the fuzzy rules are constructed based on the frequency factors, while the consequent parts of the fuzzy rules are consisted of T-S fuzzy subsystems. The fuzzy membership functions of T-S fuzzy subsystems are generated from multi-resolution scale functions. Then, the function approximation of the fuzzy system is analyzed. Subsequently, based on the multi-resolution property of B-spline scale function, a structure identification algorithm of the fuzzy system is proposed. Simulation results show that the fuzzy system is efficient in the approximation of nonlinear function and its fuzzy membership functions have interpretability and multi-resolution characteristic.

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Fifth World Congress on Intelligent Control and Automation (IEEE Cat. No.04EX788)

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