中南大学学报（自然科学版）2012，Vol.43Issue(8)：3046-3052,7.
变论域模糊控制器的万能逼近性及其逼近条件
Universal approximation properties of fuzzy controllers with variable universe of discourse and their approximation conditions
摘要
Abstract
By tuning universe of discourse online using a set of contraction-expansion nonlinear factors, the amount of initial rules was reduced greatly on fuzzy controllers with variable universe of discourse, and the control accuracy was improved significantly at the control points of expectation. First, the approximation error of these fuzzy controllers was proved to be convergent, which suggested that they were universal approximators in the whole time domain. At the same time, they were pointed out to be approximators with second order accuracy. Next, a sufficient condition was given to use these fuzzy controllers as approximators under the prearranged accuracy. Finally, a numerical example was also given to illustrate the real effect of these fuzzy controllers on the approximation of nonlinear functions. The results show that the given requirements are met fully, and that fuzzy controllers based on variable universe of discourse increases by 87.4%, compared with conventional fuzzy controllers on approximation accuracy.关键词
模糊控制器/变论域/万能逼近器/充分逼近条件Key words
fuzzy controllers/variable universe of discourse/universal approximators/sufficient approximation condition分类
信息技术与安全科学引用本文复制引用
龙祖强,梁昔明,阎纲..变论域模糊控制器的万能逼近性及其逼近条件[J].中南大学学报（自然科学版）,2012,43(8):3046-3052,7.基金项目
国家自然科学基金资助项目(61074069) （61074069）
湖南省科技计划项目(2011FJ309) （2011FJ309）
衡阳师范学院科学基金启动项目(11B40) （11B40）
