%0 Journal Article
%T Two classes of B-spline fuzzy systems and their applications<br>两类B样条模糊系统及其应用
%A TAN Yan-hu
%A LI Hong-xing
%A XU Ji-xiang
%A <br>谭彦华
%A 李洪兴
%A 许吉祥
%J 控制理论与应用
%D 2011
%I 
%X Fuzzy systems that approximate a given function and its derivatives play an important role in applications. Two classes of B-spline fuzzy systems that employ B-spline functions as the if-part sets are presented. They are universal approximators for a given function and its derivatives. Especially, the first class of B-spline fuzzy systems with the interpolation condition can approximate a function and its derivative respectively with the 2nd order accuracy and the 1st order accuracy in the approximation, The second class of B-spline fuzzy systems with the quasi-interpolation condition can approximate a function and its first and second derivatives with the 2nd order accuracy for all. Finally, a controller based on the two fuzzy systems is designed to realize the stability for a 1st order single inverted pendulum. The simulation results demonstrate the effectiveness and robustness of the controller based on the proposed fuzzy systems.
%K B-spline
%K fuzzy systems
%K approximation accuracy
%K fuzzy control
%K universal approximation<br>B样条
%K 模糊系统
%K 逼近精度
%K 模糊控制
%K 泛逼近性
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=5B3AB970F71A803DEACDC0559115BFCF0A068CD97DD29835&cid=8240383F08CE46C8B05036380D75B607&jid=970898A57DFC021F93AB51667BAED7F7&aid=D94B3FE36EA29190066E5055FA3EDD58&yid=9377ED8094509821&vid=D3E34374A0D77D7F&iid=708DD6B15D2464E8&sid=1CF15D8E59774A81&eid=C48302AEE9AFB6AE&journal_id=1000-8152&journal_name=控制理论与应用&referenced_num=0&reference_num=19