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L2-stability and the related design concept for SISO linear system associated with fuzzy logic controller

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3 Author(s)
Ray, K.S. ; Electr. Commun. Sci. Unit, Indian Stat. Inst., Calcutta, India ; Ghosh, A.M. ; Majumder, D.D.

A hybrid (fuzzy and nonfuzzy) design concept has been proposed for the linear single-input single-output (SISO) system associated with fuzzy logic controllers. In the present design techniques, the concept of L2-stability and its graphical interpretation, i.e. the circle criterion, are used. Thus the use of the classical Nyquist locus and the gain-phase chart are brought into the picture. The drawbacks of the L2-stability/circle criterion are indicated and overcome. In the present design technique, which is graphical in nature, the designer is given a feel for the system. Examples are provided to illustrate the application of hybrid controller's structure for the synthesis of the linear SISO system associated with the fuzzy logic controller.

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Systems, Man and Cybernetics, IEEE Transactions on  (Volume:SMC-14 ,  Issue: 6 )