“…From these considerations, in this paper, under unknown input, a second sliding mode differentiator making the parameter α variable according to the noise is proposed. Note that adaptive schemes of sliding mode controllers exist in the literature ( [15], [16], [17], [21], [22], [23], [24], [25], [26], [27]) but to our best of knowledge, there is no results yet in the literature dealing with a variable exponent of higher order sliding mode differentiators schemes. For schemes of differentiators with variables gains, see the works of [2] and [11].…”