Principles of Optimal Control in the Synthesis of Composite Materials

Abstract

It is proposed to use an algorithm for synthesis of composite products with the help of classical optimal control theory, it includes: technical formulation of the problem; development the criteria for optimization; construction mathematical model of the object as a set of partial models. Optimization method is determined after a complete formalization of the problem of synthesizing. It is provided for the possibility of adjusting and simplifying of mathematical problem and its individual elements. Clarification of the formulated technical problem is realized after solving mathematical problem, and iterative process can be repeated until the specified accuracy. It is shown that the synthesis of the material is to convert the object from an initial to a final state under the assumed admissible controls and accepted quality criteria. The approach is illustrated by development of composite materials for radiation protection as multi-purpose complex systems with adjustable characteristics (confirmed the efficiency of the proposed design principles).