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Steady-state analysis of a three-term fuzzy controller

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4 Author(s)
Abdelnour, G. ; Sch. of Electr. Eng. & Comput. Sci., Oklahoma Univ., Norman, OK, USA ; Cheung, J.Y. ; Chir-Ho Chang ; Tinetti, G.

The steady-state response of a fuzzy logic controller that uses fuzzy addition as the basis for its decision making process is analyzed mathematically. The nature of the look-up table constructed from fuzzy addition enables the decomposition of the fuzzy controller into three one-dimensional-multilevel relays. Unlike the sinusoidal-input describing function technique, the steady-state response of the closed-loop system is analyzed. The sufficient conditions derived depend on the parameters of the controller and can be used as guidelines to achieve a good step response at steady-state, one that does not lend itself to sustained oscillations or limit cycles

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Systems, Man and Cybernetics, IEEE Transactions on  (Volume:23 ,  Issue: 2 )