This project focuses on the modelling of industrial equipment and regulators based on the analysis of process data from an industrial partner, as well as the design of fundamental models based on material and enthalpy balances. The modelled equipment consists of a polymerization reactor for the production of polypropylene and a heat exchanger. Both devices are temperature-controlled. Since the dynamics of the reactor are fast and the process is unstable, the identification of equipment models cannot be performed without the presence of active control. This refers to modelling based on process data (stochastic approach) and physicochemical characteristics (deterministic approach). Both approaches are actively used in practice, and through statistical analysis of the obtained data, we will be able to verify the correctness of the setting of process regulators, including their subsequent improvement without the need to intervene in real devices. In this project, we use a wide range of approaches to modelling industrial equipment and processes, including proposals for their functional improvement. The goal of designing a precise mathematical model of the reactor, exchanger, and their regulators is to create a tool for setting and designing regulator constants that will increase the safety, efficiency, profitability, and competitiveness of the controlled equipment. The acquired results will be tested in laboratory conditions and on data from our industrial partner - Slovnaft, a.s., Bratislava. The results of the project will be made available to the general public in the form of open-source software packages, as well as available to process engineers and operators in industry.