Research for Reducing Dimension on a T-S Fuzzy Controller

To treat the difficulties in the design of MIMO fuzzy controller, which arise as high dimensional rule-bases and the acquirement of the membership functions and rules. Based on the importance of each input is different, a multi-dimensional controller is decomposed into a lot of one-dimensional controller that is presented in this paper. The total number of rules is drastically decreased. For an inverted pendulum, The simulation results show the controller has better dynamic performance and stability than the conventional MIMO fuzzy controller.

[1]  James M. Tien,et al.  On a fuzzy-neural hierarchical controller with a self-generating knowledge base , 1996, 1996 IEEE International Conference on Systems, Man and Cybernetics. Information Intelligence and Systems (Cat. No.96CH35929).

[2]  Jianqiang Yi,et al.  Upswing and stabilization control of inverted pendulum system based on the SIRMs dynamically connected fuzzy inference model , 2001, Fuzzy Sets Syst..

[3]  Wu Bac.  Review of Fuzzy PID Control Techniques and Some Important Issues , 2001 .

[4]  Wang Haiqing.  The Design of a Novel Hierarchical Multivariable Fuzzy Controller , 2001 .

[5]  Katsuhisa Furuta,et al.  Control of unstable mechanical system Control of pendulum , 1976 .

[6]  William S. Levine,et al.  Nonlinear controller for an inverted pendulum having restricted travel , 1995, Autom..

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

[8]  Katsuhisa Furuta,et al.  Swing up control of inverted pendulum , 1991, Proceedings IECON '91: 1991 International Conference on Industrial Electronics, Control and Instrumentation.

[9]  Jun Zhou,et al.  Hierarchical fuzzy control , 1991 .

[10]  Byoungho Lee,et al.  Fuzzy rule base derivation using neural network-based fuzzy logic controller by self-learning , 1993, Proceedings of IECON '93 - 19th Annual Conference of IEEE Industrial Electronics.