The paper provides a brief description of cognitive management, which opens up unique opportunities for the effective management of enterprises in modern complex and unstable conditions. The problems of commercializing this promising paradigm are discussed. It is pointed out that the main, critical one of these problems is due to the lack of developed engineering of cognitive management. A conceptual framework for solving this problem is proposed, based on the convergence of the ideas and methods of the “cognitive school” and the empirical experience gained in knowledge engineering. The results of using the conceptual framework in four research projects of different industry orientations, with different internal conditions and different dynamics of the external environment are presented. The engineering prospects of the proposed framework are discussed in terms of the commercialization of the cognitive school identified by H. Mintzberg, B. Ahlstrand and D. Lampel 30 years ago.