B样条函数在模糊系统中的应用  

The application of B-spline functions in fuzzy systems

作　　者：谭彦华[1,2] 李洪兴[2] 马秀娟[1] 陈秀引[1] 

机构地区：[1]河北工业大学理学院,天津300130 [2]大连理工大学电子信息与电气工程学部,辽宁大连116024

出　　处：《控制理论与应用》2013年第11期1445-1456,共12页Control Theory & Applications

基　　金：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)

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.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.

关 键 词：B样条模糊系统 模糊系统 泛逼近性 模糊控制 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]