Mathematical software and a fuzzy control algorithm for a bitumen heating process

Developing effective control systems for complex technological processes operating under uncertainty is a pressing issue in the field of mathematical and software engineering for computing systems. This study focuses on the process of heating bitumen during the production of asphalt concrete mixtures, characterized by a large number of interacting variables and nonlinearity. The primary objective of the study is to develop an adaptive control algorithm using fuzzy logic to formalize heuristic rules applied in decision-making. This paper presents the architecture of the mathematical support for this system, which consists of three main modules: an incoming data analysis module, a forecasting module, and a control action generation module. A procedure for situational identification of the system state is described, based on a probabilistic approach using fuzzy sets to handle boundary states and measurement errors. The main result is the development of a set of fuzzy transition matrices that determine the dynamics of changes in the system state under various control actions. The presented algorithm demonstrates the ability to stabilize the bitumen temperature in the target range of 150–170 °C in the presence of external and internal disturbances. The obtained results can be applied to the creation of specialized software for control systems in various industrial facilities.

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