Applications of Fuzzy Pattern Recognition to Function Mapping and Controller Design

ABSTRACTA novel mathematical tool to construct fuzzy mapping from multiple inputs to single output, for a given finite set of training data, is introduced. In contrast to available heuristic partition methods, the algorithm uses fuzzy pattern recognition theory to provide a systematic approach for the selection of discrete fuzzy bases functions from which suitable, continuous fuzzy bases functions may be obtained. Applications of the proposed method to system identification and controller design are presented.

[1]  Donald Gustafson,et al.  Fuzzy clustering with a fuzzy covariance matrix , 1978, 1978 IEEE Conference on Decision and Control including the 17th Symposium on Adaptive Processes.

[2]  James C. Bezdek,et al.  Pattern Recognition with Fuzzy Objective Function Algorithms , 1981, Advanced Applications in Pattern Recognition.

[3]  Jerry M. Mendel,et al.  Fuzzy basis functions: comparisons with other basis functions , 1995, IEEE Trans. Fuzzy Syst..

[4]  Noam Chomsky Language and Problems of Knowledge , 1987 .

[5]  Fuzzy identification with clustering methods of rules' construction , 1996, Proceedings of SOUTHEASTCON '96.

[6]  W. Pedrycz,et al.  Construction of fuzzy models through clustering techniques , 1993 .

[7]  R.J. Hathaway,et al.  Switching regression models and fuzzy clustering , 1993, IEEE Trans. Fuzzy Syst..

[8]  H. Nomura,et al.  A Self-Tuning Method of Fuzzy Reasoning By Genetic Algorithm , 1993 .

[9]  Y.F. Li,et al.  Development of fuzzy algorithms for servo systems , 1989, IEEE Control Systems Magazine.

[10]  Allen G. Lindgren,et al.  Optimal synthesis of second-order state-space structures for digital filters , 1979 .

[11]  Michio Sugeno,et al.  A fuzzy-logic-based approach to qualitative modeling , 1993, IEEE Trans. Fuzzy Syst..

[12]  Yinghua Lin,et al.  A new approach to fuzzy-neural system modeling , 1995, IEEE Trans. Fuzzy Syst..

[13]  Jiing-Yih Lai,et al.  On The Development Of A Fuzzy Model-based Controller For Robotic Manipulators , 1992, Proceedings of the IEEE/RSJ International Conference on Intelligent Robots and Systems.

[14]  Madan M. Gupta,et al.  Fuzzy Computing: Theory, Hardware, and Applications , 1988 .

[15]  Yoshiteru Nakamori,et al.  Hyperellipsoidal Clustering Method for Building Fuzzy Models , 1993 .

[16]  Y. Nakamori,et al.  Identification of Fuzzy Prediction Models Through Hyperellipsoidal Clustering , 1994, IEEE Trans. Syst. Man Cybern. Syst..

[17]  Lotfi A. Zadeh,et al.  Fuzzy Sets , 1996, Inf. Control..

[18]  Ebrahim H. Mamdani,et al.  A linguistic self-organizing process controller , 1979, Autom..

[19]  L X Wang,et al.  Fuzzy basis functions, universal approximation, and orthogonal least-squares learning , 1992, IEEE Trans. Neural Networks.

[20]  R. Gorez,et al.  A fuzzy clustering method for the identification of fuzzy models for dynamic systems , 1994, Proceedings of 1994 9th IEEE International Symposium on Intelligent Control.

[21]  Michio Sugeno,et al.  Fuzzy identification of systems and its applications to modeling and control , 1985, IEEE Transactions on Systems, Man, and Cybernetics.

[22]  Lotfi A. Zadeh,et al.  Outline of a New Approach to the Analysis of Complex Systems and Decision Processes , 1973, IEEE Trans. Syst. Man Cybern..