数学与计算机科学 |
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基于三角形模糊数的非线性T-S模糊系统的峰值点和分量半径优化 |
王宏志1, 陶玉杰1, 王贵君2 |
1. 通化师范学院 数学学院, 吉林 通化 134002; 2. 天津师范大学 数学科学学院, 天津 300387 |
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Optimizations of peak points and branch radius of nonlinear T-S fuzzy system based on triangular fuzzy numbers |
WANG Hongzhi1, TAO Yujie1, WANG Guijun2 |
1. School of Mathematics, Tonghua Normal University, Tonghua 134002, Jilin Province, China; 2. School of Mathematics Sciences, Tianjin Normal University, Tianjin 300387, China |
[1] TAKAGI T,SUGENO M. Fuzzy identification of system and its applications to modeling and control[J].IEEE Transactions on Systems,Man and Cybern,1985,15:116-132. [2] YING H,DING Y S,LI S K, et al. Comparison of necessary conditions for typical Takagi-Sugeno and Mamdani fuzzy systems as universal approximator[J].IEEE Transactions on Systems,Man and Cybernetics:A,1999,29(5):508-514. [3] ZENG K,ZHANG N R,XU W L. A comparative study on sufficient conditions for Takagi-Sugeno fuzzy system as universal approximator[J].IEEE Transactions on Fuzzy Systems,2000,8(6):773-780. [4] 曾珂,张乃尧,徐文立.线性 T-S模糊系统作为通用逼近器的充分条件[J].自动化学报, 2001, 27(5):606-612. ZENG Ke, ZHANG Naiyao, XU Wenli.Sufficient condition for linear T-S fuzzy systems universal approximator[J]. Acta Automatica Sinica, 2001,27(5): 606-612. [5] 刘普寅, 李洪兴. 广义模糊系统对于可积函数的逼近性[J].中国科学: E辑, 2000, 30 (5):413-423. LIU Puyin, LI Hongxing. Approximation of generalized fuzzy systems to integrable functions[J].Science in China: Ser E, 2000, 30(5):413-423. [6] LIU P Y,LI H X. Analyses for Lp (μ)-norm approximation capability of the generalized Mamdani fuzzy systems[J].Information Sciences,2001,138(2): 195-210. [7] 刘福才,马丽叶,邵静,等.一类非线性T-S模糊系统的通用逼近性[J].自动化与仪器仪表,2007,129(1):8-15. LIU Fucai,MA Liye,SHAO Jing, et al. Universal approximation of a class of nonlinear T-S fuzzy system [J]. Automation & Instrumentation, 2007,129(1):8-15. [8] 王贵君, 段晨霞. 广义分层混合模糊系统及其泛逼近性[J]. 控制理论与应用[HTSS], 2012,29 (5):673-680. WANG Guijun,DUAN Chenxia.Generalized hierarchical hybrid fuzzy system and its universal approximation[J]. Control Theory and Application, 2012,29(5):673-680. [9] 王贵君, 李晓萍, 隋晓琳. 广义Mamdani模糊系统依K-积分模的泛逼近性及其实现过程[J].自动化学报, 2014, 40(1):143-148. WANG Guijun, LI Xiaoping,SUI Xiaolin. Universal approximation and its realize process of generalized Mamdani fuzzy system in K-integral norms[J].Acta Automatica Sinica,2014,40(1):143-148. [10] 彭维玲.基于剖分模糊系统输入空间的多维分片线性函数的构造及逼近[J].系统科学与数学,2014,34(3):340-351. PENG Weiling. Structure and approximation of a multidimensional piecewise linear function based on the input space of subdivision fuzzy systems[J]. System Science and Mathematical Sciences,2014,34(3): 340-351. [11] 王宏志,陶玉杰,王贵君.基于网格分片线性函数构造的非齐次线性T-S模糊系统的逼近性分析[J].系统科学与数学,2015,35(11):1276-1290. WANG Hongzhi,TAO Yujie,WANG Guijun. Approximation analysis of nonhomogeneous linear T-S fuzzy system based on grid piecewise linear function structure[J].System Science and Mathematical Sciences, 2015,35(11):1276-1290. [12] 陶玉杰,王宏志,王贵君.Kp-积分模意义下广义Mamdani模糊系统逼近性能及其实现[J].电子学报,2015,43(11):2284-2291. TAO Yujie, WANG Hongzhi, WANG Guijun. Approximation ability and its realization of the generalized Mamdani fuzzy system in the sense of Kp-integral norm[J].Acta Electronica Sinica,2015,43(11):2284-2291. [13] 张国英,王贵君.基于三角形模糊化的非线性T-S模糊系统对p-可积函数的逼近性[J].浙江大学学报:理学版,2015,42(9):537-541. ZHANG Guoying,WANG Guijun.Approximation capability of nonlinear T-S fuzzy system based on triangular fuzzifier to p-integrable functions[J].Journal of Zhejiang University:Science Edition,2015,42(9):537-541. [14] 王立新.模糊系统与模糊控制教程[HTSS][M].北京:清华大学出版社,2003. WANG Lixin. A Course in Fuzzy Systems and Control[M]. Beijing:Tsinghua University Press,2003. |
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