Abstract:The problem addressed in this paper is the online differentiation of a signal/function that possesses a continuous but not necessarily differentiable derivative. In the realm of (integer) high-order sliding modes, a continuous differentiator provides the exact estimation of the derivative f˙(t), of f(t), by assuming the boundedness of its second-order derivative, f¨(t), but it has been pointed out that if f˙(t) is casted as a Hölder function, then f˙(t) is continuous but not necessarily differentiable, and as … Show more
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