Signal differentiation in automatic control systems

Realization of the traditional approaches to differentiation of signals in the automatic control systems is hindered by the negative effect of gain on the accuracy of differentiation and stability to high-frequency noise. An approach was proposed based on representing the considered signal as a power function with coefficients that are calculated by repeated integration and approximate the derivative of the original signal. At that, the accuracy of differentiation and the level of noise immunity can be improved by using more integrators, rather than increasing the gains.

Presented by the member of Editorial Board: B. T. Polyak