| 线性T-S模糊系统作为通用逼近器的充分条件 |
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| 引用本文： | 曾珂,张乃尧,徐文立.线性T-S模糊系统作为通用逼近器的充分条件[J].自动化学报,2001,27(5):606-612. |
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| 作者姓名： | 曾珂 张乃尧 徐文立 |
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| 作者单位： | 1.清华大学自动化系,北京 |
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| 基金项目： | 国家自然科学基金 ( 69774 0 1 5 )，清华大学基础研究基金 ( 2 0 0 0 1 30 0 4 )，信息学院基础研究基金资助 |
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| 摘 要： | 作为模糊系统理论研究和实际应用的基础,对模糊系统通用逼近性的研究已经取得了
很大的进展,但是只有为数不多的文献研究了模糊系统作为通用逼近器的充分条件.提出了线
性T-S模糊系统以任意精度一致逼近紧致集上任意连续实函数的一个充分条件,并给出了数值
示例.该示例表明提出的充分条件明显优于现有的其它结果.
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| 关 键 词： | T-S模糊系统 通用逼近 充分条件 |
| 收稿时间： | 1999-2-3 |
| 修稿时间： | 1999年2月3日 |
Sufficient Condition for Linear T-S Fuzzy Systems as Universal Approximators |
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| ZENG Ke,ZHANG Nai-Yao,XU Wen-Li.Sufficient Condition for Linear T-S Fuzzy Systems as Universal Approximators[J].Acta Automatica Sinica,2001,27(5):606-612. |
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| Authors: | ZENG Ke ZHANG Nai-Yao XU Wen-Li |
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| Affiliation: | 1.Department of Automation,Tsinghua University,Beijing |
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| Abstract: | As the basis of theoretical research and pratical applications of fuzzy systems, studies on fuzzy systems as universal approximators have achieved great progress. However, only a few papers in the literature have investigated sufficient conditions for fuzzy systems as universal approximators. This paper presents a new sufficient condition under which the linear T S fuzzy systems can uniformly approximate any real continuous functions defined on a compact set to any degree of accuracy. Numerical examples demonstrate that our result is obriously better than currently available results. |
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| Keywords: | T-S fuzzy systems universal approximation sufficient condition |
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