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From this point of view, to reduce this influence it is more suitable to operate with a small inductance value. As the load voltage has to change regarding a sinusoid law, let (21) to be analyzed around the maximum values of the sinusoid waveform. C . U M . ( ±1 ) (22) Where in (22) the positive sign is for the positive half period and the negative one – for the negative half period. After taking in consideration the practically used values of L and C (scores microhenrys and microfarads), the frequency of the supply source voltage ( f = 50 or 60 Hz ) and its maximum value U M ( ≈ 311 or 156V ) , it is obvious that the influence of the last two terms could be neglected.

3, 1993, pp. M. Q. (1996). Indirect implementations of sliding-mode control law in buck-type converters, Proceedings of the IEEE Applied Power Electronics Conference and Exposition, pp. 111–115, Vol. 1, March, 1996 Palm, R. (1992). Sliding mode fuzzy control, Proceedings of the IEEE international conference on fuzzy systems, San Diego CA pp. K. (1998). ; Winfield, A. & Melhuish, C. (2003). Fuzzy sliding mode control for discrete nonlinear systems. Transactions of China Automation Society, Vol. 22, No.

23. The normalized control surface of the proposed FSMC, corresponding to the Rule Base given in table 5, is presented in Fig. 24. Such surface shows clearly the nonlinear characteristic of the proposed fuzzy control law. N Z P 1 0 -1 -0,5 0 0,5 1 S Fig. 21. Surface S membership functions N Z 1 0 -1 -0,2 0 0,2 • S Fig. 22. Surface change S membership functions P 1 19 Sliding Mode Control and Fuzzy Sliding Mode Control for DC-DC Converters Fig. 23. Output singletons S S N Z P P Z PM PB Z NM Z PM N NB NM Z Table 5.

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