REVERSE ENGINEERING OF NONLINEAR SYSTEMS USING ANALYTICAL NETWORKS
DOI:
https://doi.org/10.31471/1993-9981-2020-2(45)-109-118Keywords:
analytical network, genetic algorithm, neural network, electronic systemAbstract
A method for the synthesis of numerical models based on analytical networks for nonlinear systems of
increased complexity using their known input and output signals taken synchronously is proposed. The functioning of the proposed analytical networks is based on the use of a modified genetic algorithm and a library of blocks of constant functionality. Genotype structure and mutation algorithms are proposed for describing an analytical
network. In addition, methods for modeling complex non-linear systems using the Volterra, Wiener-Hammerstein series, adaptive filters, non-linear model of an autoregressive moving average with exogenous inputs, neural networks and genetic algorithms are considered, and the main problems that arise when using these models are identified. A
practical example of the possibility of using the analytical network is shown on the example of the resynthesis of a
sound synthesizer. A typical diagram of such a synthesizer is described. A possible scheme of a re-synthesized system based on an analytical network that is functionally as similar as possible to desired system is considered. The possibility of automatically constructing a numerical model of the reaction of a nonlinear mechanical system to input
disturbances using known input and output signals recorded synchronously is shown. The main difficulties of the
resynthesis of complex systems for sound reproduction are considered - the influence of psychoacoustic phenomena on the perception of synthesis results and the need to ensure high fidelity for obtaining adequate results are shown.
The structure of typical blocks of the analytical network is proposed, which should include typical conversions used in digital signal processing, arithmetic and logical operations, correlation and comparison blocks, hysteresis components, and in addition, typical possible standard blocks of a system that undergoes resynthesis.
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