Guaranteed accurate fuzzy controllers for monotone functions

Abstract In this work, a general purpose fuzzy controller which allows the fuzzy set ZE to be used anywhere in decision tables is proposed to handle the class of monotone functions. For guaranteed convergence and accuracy, the rules on the selection of fuzzy sets based on the defuzzification method mean-of-inversion (MOI) are given are proved. Such a guideline can relieve the users' burden on testing accuracy after design. In addition, these imposed restrictions on the selection of fuzzy sets are not unusual in the design of fuzzy controllers. Thus, the optimization on convergence speed is possible for the proposed fuzzy controller in various applications.

[1]  Madan M. Gupta,et al.  Energetistic stability of fuzzy dynamic systems , 1985, IEEE Transactions on Systems, Man, and Cybernetics.

[2]  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..

[3]  Kazuo Tanaka,et al.  Fuzzy stability criterion of a class of nonlinear systems , 1993, Inf. Sci..

[4]  G. Rizzotto,et al.  Automatic synthesis, analysis and implementation of a fuzzy controller , 1993, [Proceedings 1993] Second IEEE International Conference on Fuzzy Systems.

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

[6]  Chen Laijiu,et al.  Study on stability of fuzzy closed-loop control systems , 1993 .

[7]  Andrew H. Sung,et al.  The application of fuzzy logic to JPEG , 1994 .

[8]  Kazuo Tanaka,et al.  Stability analysis and design of fuzzy control systems , 1992 .

[9]  Cheng-Juei Wu,et al.  A general purpose fuzzy controller for monotone functions , 1996, IEEE Trans. Syst. Man Cybern. Part B.

[10]  E. H. Mamdani,et al.  Twenty years of fuzzy control: experiences gained and lessons learnt , 1993, [Proceedings 1993] Second IEEE International Conference on Fuzzy Systems.

[11]  Juan Luis Castro,et al.  Fuzzy logic controllers are universal approximators , 1995, IEEE Trans. Syst. Man Cybern..

[12]  J. Buckley Sugeno type controllers are universal controllers , 1993 .

[13]  Constantin V. Negoita,et al.  On Fuzzy Systems , 1978 .

[14]  S. Farinwata,et al.  Stability analysis of the fuzzy logic controller designed by the phase portrait assignment algorithm , 1993, [Proceedings 1993] Second IEEE International Conference on Fuzzy Systems.

[15]  Guang-Chyan Hwang,et al.  A stability approach to fuzzy control design for nonlinear systems , 1992 .

[16]  M. Braae,et al.  Theoretical and linguistic aspects of the fuzzy logic controller , 1979, Autom..

[17]  Gregory K. Wallace,et al.  The JPEG still picture compression standard , 1991, CACM.

[18]  Andrew H. Sung,et al.  An ART network with fuzzy control for image data compression , 1994, Proceedings of 1994 IEEE 3rd International Fuzzy Systems Conference.

[19]  D. Dutta Majumder,et al.  Application of circle criteria for stability analysis of linear SISO and MIMO systems associated with fuzzy logic controller , 1984, IEEE Transactions on Systems, Man, and Cybernetics.