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Industrial Automatic Control Systems and Controllers

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Improving the Energy Efficiency of Gold Enrichment Processes Using Echo-State Networks
Litvinov S.N.

The purpose of this study is to develop an approach for improving the energy efficiency of gold beneficiation processes using Echo
State Networks (ESN), a promising class of reservoir computing. The relevance of the work stems from the need to reduce specific energy
consumption at gold processing plants, where technological processes exhibit high inertia, nonlinearity, and transport delays of up to 3–5
minutes. Traditional automation systems based on PID controllers fail to provide optimal control under ore quality fluctuations, leading
to excess energy consumption of 10–20 percent. Scientific novelty lies in substantiating the feasibility of ESN for energy-efficient control of
grinding, classification, and flotation processes in gold ore processing. We propose a novel hybrid automation system architecture where
the ESN acts as an adaptive predictive corrector for base PID loops, with a prediction horizon equal to the transport delay. Methodology
includes mathematical modeling of the mill-hydrocyclone-flotation process train, ESN training using ridge regression, and comparative
analysis of prediction accuracy and energy efficiency. Simulation results demonstrate a 12–15 percent reduction in mill drive power
consumption and an 8–10 percent reduction in flotation reagent consumption, achieved through improved prediction of technological
indicators. The normalized root mean square error of hydrocyclone over flow size prediction for ESN was 0.12, twice as good as that
of a linear ARXmodel. Practical significance lies in creating an algorithmic foundation for hybrid industrial control systems based on
programmable logic controllers supporting embedded artificial intelligence technology. Limitations include the need for careful tuning of
reservoir hyperparameters, including reservoir size, spectral radius, and input scaling.
Keywords: echo state networks, reservoir computing, energy efficiency, gold beneficiation, automated control systems, industrial
controllers, edge AI, hybrid control, time series prediction.


DOI: 10.25791/asu.6.2026.1668

Pp. 45-54.

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