Abstract
Pyrometallurgical processes, such as copper concentrate smelting, are pivotal to the metallurgical industry. Effectively managing these processes necessitates a comprehensive understanding of thermal and material flow dynamics. This paper outlines the development of a mathematical model and control algorithm for the Vanyukov smelting process. The proposed solution aims to optimize operational regimes and improve production efficiency. The study explores the synthesis of models and algorithms for a hybrid system grounded in the analysis and processing of extensive data collected at the Balkhash Copper Smelter. Mathematical modeling techniques and research findings are presented, including transfer function construction and simulations utilizing various controllers.