Using of Interval Analysis Algorithms for Technical Systems Optimization Problem Solving

Abstract

The application of interval analysis methods in the mathematical modeling of technical systems and the solution of the optimal control problem makes it possible to take into account the uncertainty in the initial data. A mathematical model of the xylene isomerization process with interval kinetic parameters was developed. On the basis of the Pontryagin maximum principle, the problem of finding the optimum temperature for the process is solved. A computational experiment was performed to find the dependence of the optimal solution on the variation of the kinetic parameters.