The methods of adaptive management of a smart enterprise are considered, and approaches to the management of the enterprise are defined, which, due to the monitoring of the surrounding environment and the forecast of the consequences of the implementation of management decisions, ensures the effective management of the enterprise in conditions of increasing instability of the external environment. The main characteristics of smart production are highlighted, including intelligent response, operational assets, adaptability, information availability, collection and processing of information in real time. A basic four-level structure of a smart enterprise management system using weak signals has been developed, which, due to the combination of the global Internet, wireless networks with transmitters, executive mechanisms and the external environment, ensures the collection, storage and processing of data and management of the enterprise in real time. A program has been developed for evaluating the signals of the surrounding environment, calculating the integrated signal of influence on the smart enterprise.