Abstract
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.
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References
Tsypkin, Ya.Z., Osnovy teorii avtomaticheskikh sistem (Fundamentals of the Theory of Automatic Systems), Moscow: Nauka, 1977. Translated under the title Grundlagen der Theorie automatischer Systeme, Berlin: VEB Verlag Technik, 1981.
Ryzhevskii, A.G. and Shabanov, D.V., Avtomatizatsiya kontrolya formy monoimpul’snykh signalov (Automated Monitoring of the Form of Monopulse Signals), Moscow: Energoatomizdat, 1986.
Emel’yanov, S.V., Izbrannye trudy (Selected Works), Moscow: Mosk. Gos. Univ., 2009, vol. 1.
Maistrenko, A.V., Svetlakov, A.A., and Starovoitov, N.V., Digital Differentiation of Signals Using Multipoint Methods in the Systems of Automatic Process Control, Dokl. TUSURa, 2009, no. 2(20), pp. 83–88.
Glinchenko, A.S., Tsifrovaya obrabotka signalov. Ch. 1, 2. Uch. pos. (Digital Signal Processing. P. 1 and 2. Textbook), Krasnoyarsk: Krasnoyar. Gos. Tekh. Univ., 2001.
Patrickeyev, I.A., Stepanov, R.A., and Frick, P.G., Wavelet Differentiation of Noisy Signals, Numer. Methods Programm., 2005, vol. 6, pp. 35–42.
Kalachev, M.G. and Petrovskii, A.M., Multiple Differentiation of a Signal with Bounded Spectrum, Autom. Remote Control, 1972, vol. 33, no 3, part 1, pp. 371–376.
Emel’yanov, S.V., Afanas’ev, A.P., and Tarasov, A.S., Signal Restoration by Multiple Integration, Dokl. Ross. Akad. Nauk, 2014, vol. 456, no. 2, pp. 155–158.
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Original Russian Text © S.V. Emel’yanov, A.P. Afanas’ev, 2015, published in Avtomatika i Telemekhanika, 2015, No. 12, pp. 27–42.
This paper was recommended for publication by B.T. Polyak, a member of the Editorial Board
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Emel’yanov, S.V., Afanas’ev, A.P. Signal differentiation in automatic control systems. Autom Remote Control 76, 2110–2123 (2015). https://doi.org/10.1134/S0005117915120024
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DOI: https://doi.org/10.1134/S0005117915120024