A model of synthesis of control of the system of reproduction is considered. Models of management of the economic system of reproduction use various effects of external influences, expressed in changes in the structure of its technological core. When some surplus of production resources is available, purposeful changes in output are reversible and can occur in one cycle of reproduction. When the reserve of production resources is exhausted, the increase in production assets takes place over several cycles of reproduction. This process has different characteristics from a reversible process. Changes in the structure of final consumption also cause irreversible changes in the process of reproduction. We should have in mind these features in our model for management of the restructuring of the technological basis. The goals of management are to succeed in productivity and sustainability of the reproduction system. The specificity of these models lies in the fact that the response of the system depends on the output volumes of industries, the increase of final consumption, and the surplus of production resources. With a purposeful change of control parameters within the framework of the model of an integrated development fund, the productivity of the system can reach the maximum value (the productivity potential). Changes in the structure of final consumption accompany the changes in production capacities of the system. Influences of this type lead to irreversible changes in the structure of the reproductive system. In addition, starting with a certain amount of consumption, its productivity potential begins to increase. Our purpose in this article is to investigate the methods of synthesis of structural control of the reproductive system’s technological basis under reversible and irreversible transformations of the reproduction system.