A family of new regulators based on second order sliding mode

A family of a new type of nan-linear regulators in proposed. A system feedbacked by the regulator generates a vector field which exists not only in the fiber bundle of a sliding surface but also in the second order jet foliation over the surface. Advantage of the developed designing procedure consists of using only a value of a function connected with the sliding surface. The method has been applied to design a measuring device for derivatives of some signals.