FUNCTIONAL MODELING AND CALCULATION OF THE DYNAMICS OF CONTINUOUS AND DISCRETE NONLINEAR SYSTEMS

The construction of the mathematical models of nonlinear dynamical systems within the framework of the «black box» principle is considered, when the input-output mapping of an object with the application of multidimensional polynomials and neural networks is described. The functional models of nonlinear compensators for power amplifiers and the results of their comparative analysis are presented. An algorithm for the analytical calculation of the dynamics of nonlinear non-autonomous electrical circuits with lumped parameters is proposed. The conditions for obtaining the descriptions of the existing equations solutions for nonlinear non-autonomous dynamic circuits in a closed analytical form are determined. The specifics of the implementation and the required efficiency of the algorithm are determined by the application of generalized functions, the generalized Laplace transform, the Laurent series and the Taylor series. The algorithm is illustrated with an example of the analytical calculation of the nonlinear electrical circuit dynamics.

Authors: Yu. A. Bychkov, E. B. Solovyeva, S. V. Scherbakov

Direction: Electrical Engineering

Keywords: Nonlinear model, dynamic system, analytical-numerical method, neural network, nonlinear compensator

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