改进变论域模糊控制及其在混沌系统中的应用  

Improved Variable Universe Fuzzy Control and Its Application in Chaotic System

作　　者：路永坤[1,2] 夏超英[1] 

机构地区：[1]天津大学电气与自动化工程学院,天津300072 [2]天津科技大学自动化学院,天津300222

出　　处：《天津大学学报》2010年第8期749-754,共6页Journal of Tianjin University(Science and Technology)

摘　　要：针对一类变论域自适应模糊控制,提出改进控制器.在稳定设计中,重新推导了完整的变论域模糊控制器观测误差方程,并给出了鲁棒控制项表达式.自组织结构算法中有关减规则和替换规则的方法,不仅考虑了当前输入与模糊子集的距离,还考虑了冗余信息.通过李亚普诺夫函数连续性分析得知,自组织结构算法并不影响变论域模糊控制器的稳定性.所提出的控制方案被应用到Chua's混沌系统中.同原控制器比较,仿真结果表明改进控制方案对跟踪性能有改善作用.In order to improve the stability design and attenuate the effect of fuzzy approximation error,an improved control scheme was proposed for variable universe adaptive fuzzy control.Firstly,a complete observable error equa-tion was derived during the stability design,and a robust control term was proposed.Then,a method for deleting rule and replacing rule was proposed in self-structuring algorithm based on both the distance between fuzzy subsets and current input and the redundant information of fuzzy subsets.Furthermore,with the continuity analysis of Lyapunov function,it is known that the stability of variable fuzzy controller is not influenced by online self-structuring algorithm.Finally,the proposed control scheme was applied to the Chua＇s chaotic system.The simulation results show that,compared with the original variable universe fuzzy control,the improved control scheme has the improved tracking performance.

关 键 词：变论域自适应模糊控制 观测误差方程 鲁棒控制项 自组织结构算法 模糊子集 混沌系统 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]