MULTICRITERIA OPTIMIZATION IN CONTROL OF A CHEMICAL-TECHNOLOGICAL SYSTEM FOR PRODUCTION OF BENZENE WITH FUZZY INFORMATION

Abstract

The relevance of the research is caused by the need to solve effectively the problems of controlling the operating modes of chemical-technological systems, which are multi-criteria, characterized by the uncertainty and fuzziness of the initial information. Since real chemical-technological systems in production are multi-criteria and often work in the conditions of unclear initial information, formalization and effective solution of such problems in a fuzzy environment is very important and relevant for science and production. The main aim of the research is to develop a method for constructing mathematical models of chemical-technological systems based on available information of various kinds (theoretical, statistical, expert, fuzzy information); get multicriteria optimization problem statement to control such systems and develop a heuristic approach to its solution; also, to test the results obtained in practice for construction of mathematical models of chemical-technological system for benzene production and the control modes of its operation in a fuzzy environment. Objects: complex chemical-technological systems with the example of a technological plant for production of benzene, which are described by a vector of criteria and characterized by unclear initial information. Methods: methods of system analysis and fuzzy sets theories, methods of mathematical modeling and multi-criteria choice, experimental statistical methods for developing mathematical models. Results. The authors have proposed the method for developing mathematical models of chemical-technological systems based on available information of various types, including initial fuzzy information. The new tasks of control of the chemical technological systems in the conditions of fuzziness of the initial information obtained by modifications of various compromise schemes for working in a fuzzy environment. The tasks of multicriteria optimization in controlling technological system are reduced to multicriteria problems of fuzzy mathematical programming and based on modifying the principles of maximin and Pareto optimality, heuristic algorithm for solving the formulated problem of optimal control is developed. These results are realized in practice in constructing mathematical models of the main aggregates of the chemical-technological system for production of benzene and in setting and solving the task of controlling the operating modes of this system in a fuzzy environment. Analysis and comparison of the obtained results allow drawing a conclusion about the effectiveness of the proposed approach to solving control problems on the basis of models in conditions of indistinct initial information.

Keywords

• chemical-technological system
• mathematical modeling
• fuzzy information
• principles of optimality
• benzene
• heuristic algorithm
• tasks control of operating modes