Design of Fuzzy Gain Schedulers

The design of a Takagi-Sugeno fuzzy controller (TSFC) is possible only if a Takagi-Sugeno fuzzy model (TSFM) of the open loop nonlinear system under control is provided. A survey of the relevant publications in this field reveals that a TSFM is either given for granted, or is identified on the basis of input-output data. Thus, it remains an open question how a TSFC can be designed in a systematic manner, given an open loop nonlinear model described in terms of differential equations. Another aspect of TSFC which has received almost no attention is related to its robust performance. The major problem here is to find the stability margins of the closed loop model with respect to unknown disturbances.

[1]  R. Palm,et al.  Sliding mode fuzzy control , 1992, [1992 Proceedings] IEEE International Conference on Fuzzy Systems.

[2]  Kazuo Tanaka,et al.  Successive identification of a fuzzy model and its applications to prediction of a complex system , 1991 .

[3]  C. A. Desoer,et al.  Nonlinear Systems Analysis , 1978 .

[4]  Wilson J. Rugh,et al.  Analytical Framework for Gain Scheduling , 1990, 1990 American Control Conference.

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

[6]  S. M. Smith,et al.  Self-tuning of a fuzzy logic controller using a cell state space algorithm , 1990, 1990 IEEE International Conference on Systems, Man, and Cybernetics Conference Proceedings.

[7]  Mu-Chun Su,et al.  Rule extraction using a novel class of fuzzy degraded hyperellipsoidal composite neural networks , 1995, Proceedings of 1995 IEEE International Conference on Fuzzy Systems..

[8]  M. Sugeno,et al.  Fuzzy modeling and control of multilayer incinerator , 1986 .

[9]  Kazuo Tanaka,et al.  Concept of stability margin for fuzzy systems and design of robust fuzzy controllers , 1993, [Proceedings 1993] Second IEEE International Conference on Fuzzy Systems.

[10]  Wilson J. Rugh,et al.  Gain scheduling for H-infinity controllers: a flight control example , 1993, IEEE Trans. Control. Syst. Technol..

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

[12]  R. Babuška,et al.  A new identification method for linguistic fuzzy models , 1995, Proceedings of 1995 IEEE International Conference on Fuzzy Systems..

[13]  Euntai Kim,et al.  A new approach to the identification of a fuzzy model , 1999, Fuzzy Sets Syst..

[14]  Weiping Li,et al.  Applied Nonlinear Control , 1991 .

[15]  M. Sugeno,et al.  Structure identification of fuzzy model , 1988 .

[16]  P. Khargonekar,et al.  Stability robustness bounds for linear state-space models with structured uncertainty , 1987 .