| B样条函数在模糊系统中的应用 |
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| 引用本文： | 谭彦华,李洪兴,马秀娟,陈秀引. B样条函数在模糊系统中的应用[J]. 控制理论与应用, 2013, 30(11): 1445-1456 |
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| 作者姓名： | 谭彦华 李洪兴 马秀娟 陈秀引 |
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| 作者单位： | 河北工业大学 理学院; 大连理工大学电子信息与电气工程学部,大连理工大学电子信息与电气工程学部,河北工业大学 理学院,河北工业大学 理学院 |
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| 基金项目： | 国家自然科学基金资助项目(61074044, 61104038, 61374118); 国家“973”计划项目课题资助项目(2009CB320602). |
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| 摘 要： | 模糊系统的设计可看成是一类函数逼近问题, 从而可以利用数值逼近的方法来设计模糊系统. 本文将B样条函数引入到模糊系统的设计中, 构造了两类多输入单输出的B样条模糊系统, 并证明了它们均能逼近函数及其导函数. 仿真结果表明, 将两类B样条模糊系统应用到模糊系统建模和模糊控制器设计是可行的, 且在大多数情形下, 第1类B样条模糊系统的性能优于本文提到的其他模糊系统.
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| 关 键 词： | B样条模糊系统 模糊系统 泛逼近性 模糊控制 |
| 收稿时间： | 2012-05-18 |
| 修稿时间： | 2013-07-24 |
The application of B-spline functions in fuzzy systems |
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| TAN Yan-hu,LI Hong-xing,MA Xiu-juan and CHEN Xiu-yin. The application of B-spline functions in fuzzy systems[J]. Control Theory & Applications, 2013, 30(11): 1445-1456 |
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| Authors: | TAN Yan-hu LI Hong-xing MA Xiu-juan CHEN Xiu-yin |
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| Affiliation: | School of Sciences, Hebei University of Technology; Faculty of Electronic Information and Electrical Engineering, Dalian University of Technology,Faculty of Electronic Information and Electrical Engineering, Dalian University of Technology,School of Sciences, Hebei University of Technology,School of Sciences, Hebei University of Technology |
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| Abstract: | The design of a fuzzy system can be considered as a function approximation problem. Thus, fuzzy systems can be designed by using numerical approximation methods. In this paper, the B-spline function is introduced to design fuzzy systems, and two classes of multiple-input-single-output (MISO) B-spline fuzzy systems (B-FSs) are constructed, both of which can approximate functions and their derivatives simultaneously. Simulation results show that it is feasible to use B-FSs for fuzzy system modeling and fuzzy controller design. In most cases, the first classes of B-FSs outperform the other fuzzy systems mentioned in this paper. |
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| Keywords: | B-spline fuzzy system fuzzy system universal approximation fuzzy control |
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