In this paper, a complete analysis of discrete sliding mode control for DC-DC power converters in general is presented; this analysis include the reaching condition, the proof of the existence condition of the sliding mode and stability condition. In addition, a design example for the buck converter is presented. The control scheme proposed eliminates the main problems of the sliding mode control. The presence of a digital filter reduces the settling time. Some simulation results show the digital filter effect and an overvoltage reduction at start up with a ramp reference instead of step reference.
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