Numerical analytical simulation technique for nonlinear feedback systems

Authors

  • N. D. Pirogova Rostov State Transport University, Russian Federation

DOI:

https://doi.org/10.3103/S073527271305004X

Keywords:

feedback system, simulation method, transfer function, Taylor transform, differential transformation, nonlinear system, Volterra series, Maclaurin series

Abstract

A simulation method for nonlinear inertial feedback systems has been proposed. It involves the presenting of each functional block of the system in the form of a set of nonlinear transfer functions. Nonlinear transfer functions of the system as a whole are determined by using the differential Taylor transformations.

References

PIROGOVA, N.D. Determination of transfer functions of nonlinear systems using the transfer functions of component blocks. Radiotekhnika, n.10, p.51-56, 2009.

BUSSGANG, J.; ERMAN, L.; GRAHAM, J.W. Analysis of nonlinear systems with multiple inputs. TIIER, v.62, n.8, p.56-82, 1974.

BOGDANOVICH, B.M. Nonlinear Distortions in Receiver-Amplifier Devices. Moscow: Svyaz’, 1980. 279 p. [in Russian].

DANILOV, L.V.; MATKHANOV, P.N.; FILIPPOV, E.S. Theory of Nonlinear Electric Circuits. Moscow: Energoatomizdat, 1990. 256 p. [in Russian].

VOLKOV, E.A.; NECHES, I.O.; PIROGOVA, N.D. Simulation of radio-receiving channels on the basis of Volterra series. Radiotekhnika, n.8–9, p.25-27, 1993.

PUKHOV, G.E. Differential Transformations of Functions and Equations. Kyiv: Naukova Dumka, 1980. 420 p. [in Russian].

VOLKOV E.A. AND PIROGOVA, N.D. Simulation of radio-receiving feedback channels. Radiotekhnika, n.3, p.17-21, 1992.

Published

2013-05-01

Issue

Section

Research Articles