| 引用本文: | 谭彦华,李洪兴.小波方法光顺的B样条模糊系统及其应用[J].控制理论与应用,2013,30(10):1239~1245.[点击复制] |
| TAN Yan-hua,LI Hong-xing.B-spline fuzzy systems faired by wavelet method and its applications[J].Control Theory and Technology,2013,30(10):1239~1245.[点击复制] |
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| 小波方法光顺的B样条模糊系统及其应用 |
| B-spline fuzzy systems faired by wavelet method and its applications |
| 摘要点击 2070 全文点击 1855 投稿时间：2013-01-27 修订日期：2013-03-27 |
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| DOI编号 10.7641/CTA.2013.30082 |
| 2013,30(10):1239-1245 |
| 中文关键词 模糊系统 小波光顺 B样条小波 小波分解 |
| 英文关键词 fuzzy systems wavelet-based fairing method B-spline wavelet wavelet decomposition |
| 基金项目 国家自然科学基金资助项目(61074044, 61104038, 61374118); 国家“973”计划资助项目(2009CB320602). |
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| 中文摘要 |
| 为了减少不准确数据对模糊系统的影响, 本文利用准均匀B样条小波方法光顺了B样条模糊系统. 首先将B样条模糊系统的多分辨率表示转化为准均匀B样条函数的多分辨率表示, 接着利用准均匀B样条小波分解方法对相应的准均匀B样条函数进行分解就得到了一系列光顺性逐渐增强、规则个数逐渐减少的模糊系统, 即基于小波方法的光顺B样条模糊系统. 最后, 仿真结果表明, 小波方法光顺的B样条模糊系统构造的模糊控制器在改善原来B样条模糊系统构造的模糊控制器性能的同时, 大大提高了原来控制器的运行效率. |
| 英文摘要 |
| The B-spline fuzzy systems (B-FSs) are faired by using the quasi-uniform B-spline wavelet decomposition method to reduce adverse effects of the inaccurate data. First, the multi-resolution of B-FSs is transformed to the multiresolution of quasi-uniform B-splines; and then, the corresponding quasi-uniform B-splines are decomposed by using the quasi-uniform B-spline wavelet method to produce a series of fuzzy systems with gradually increasing fairness and gradually decreasing number of rules. Those fuzzy systems are called faired B-spline fuzzy systems by wavelet method. Simulation results show that fuzzy controllers constructed from faired B-FSs by wavelet method surpass in performances the fuzzy controllers by the original B-FSs, while consuming considerably less running time. |