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JOURNALS // Problemy Upravleniya // Archive

Probl. Upr., 2010 Issue 3, Pages 26–29 (Mi pu29)

Analysis and synthesis of control systems

Nonlinear noise immunity differentiators

S. V. Gulyaeva, A. M. Shubladzea, S. I. Kyznetsovb, A. V. Krotovc, V. R. Olshvanga, V. A. Malakhova

a Institute of Control Sciences, Russian Academy of Sciences
b OAO "Gazprom"
c Head of the department of "Gazavtomatika"

Abstract: The paper proposes the method for solution of a differentiation problem, allowing to receive an estimation derivative Gaussian stationary signals close to optimum by standard deviation criterion if spectral density useful signals and noise are known to within level. Realization of this method with the use of nonlinear dynamic systems organized in a special way is considered. The comparative estimation of quality indicators of results of differentiation nonlinear differentiator, linear and relay differentiators is presented.

Keywords: differentiation, adaptation, optimality, Gaussian noise.

UDC: 681.518.22



© Steklov Math. Inst. of RAS, 2024