模糊系统与模糊控制简介分析.ppt

2021/2/21 * 模糊系统的通用逼近能力 充分条件 Functional equivalence between radial basis function networks and fuzzy inference systems Jang, J.-S.R.; Sun, C.-T. Neural Networks, IEEE Transactions on , Volume: 4 Issue: 1 , Jan. 1993 Page(s): 156 -159 2021/2/21 * 模糊系统的通用逼近能力 充分条件: Fuzzy systems are universal approximators Wang, L.-X. Fuzzy Systems, 1992., IEEE International Conference on , 1992 Page(s): 1163 -1170 2021/2/21 * 模糊系统的通用逼近能力 充分条件: General Takagi-Sugeno fuzzy systems are universal approximators Ying, H. Fuzzy Systems Proceedings, 1998. IEEE World Congress on Computational Intelligence., The 1998 IEEE International Conference on , Volume: 1 , 1998 Page(s): 819 -823 vol.1 2021/2/21 * 模糊系统的通用逼近能力 充分条件: Approximation of Functions and Their Derivative Functions by SISO Linear T-S Fuzzy Systems. Zeng Ke, Zhang Naiyao and Xu Wenli The 3rd WCICA, Hefei, June, 2000, Vol.3: 1836-1839 2021/2/21 * 模糊系统的通用逼近能力 必要条件需要回答的问题: 实现给定精度的逼近性,最小配置是什么 2021/2/21 * 模糊系统的通用逼近能力 必要条件: Necessary conditions on minimal system configuration for general MISO Mamdani fuzzy systems as universal approximators Yongsheng Ding; Hao Ying; Shihuang Shao Systems, Man and Cybernetics, Part B, IEEE Transactions on , Volume: 30 Issue: 6 , Dec. 2000 Page(s): 857 -864 2021/2/21 * 模糊系统的通用逼近能力 必要条件: Typical Takagi-Sugeno and Mamdani fuzzy systems as universal approximators: necessary conditions and comparison Hao Ying; Yongsheng Ding; Shaokuan Li; Shihuang Shao Fuzzy Systems Proceedings, 1998. IEEE World Congress on Computational Intelligence., The 1998 IEEE International Conference on , Volume: 1 , 1998 Page(s): 824 -828 vol.1 2021/2/21 * 模糊系统的通用逼近能力 必要条件: 输入变量的划分不能少于被逼近函数的极点个数 无论函数形式多复杂,只要极点很少的函数用模糊系统逼近很有利 无论函数形式多简单,只要极点很多的函数用模糊系统逼近很不利 2021/2/21 * 模糊系统的通用逼近能力 其它问题: 模糊系统通用逼近的误差界 如何选取相关参数以便更好地逼近 满足精度要求减少模糊规则的方法 满足精度要求寻找最小规则数 给定规则数寻找最佳逼近精度 等等 2021/2/21 * 模糊控制器的结构分析 主要内容: 模糊控制器的数学表达式 模糊控制器与传统的控制方法比较 模糊控制器各设计参数对控制结构的影响 2021/2/21 * 模糊控制器的结构分析 模糊控制器两种基本类型: Mamdani型 T-S型 其中 为语言变量,