In this study, the optimal control for the operation of pressure-swing batch distillation for acetone production in an open-mode double-column configuration is researched. The goal of this study is to investigate the optimal control functioning of the combined scheme, composed of both batch rectifier and batch stripper, in "dwelling" between pressures of atmosphere and high pressure allowed the industrial practice. Some important thermodynamic conditions are introduced in the optimal control problem definition, as an operational constraint(s) to avoid column overpressurizing/overheating at any moment of the operation, since the latter is a key for safety operation(s). Most importantly, the results show that the optimal control structure depends on the working pressure. All in one, for the very first time a cyclic operation as an optimal control reflux policy of long-time researched azeotropic mixture is developed. Table , shows a list of studies on the optimal control for homogeneous systems in discontinuous and/or semi-continuous mode for pressure-swing distillation.