Among the most significant system properties of such complex technical objects as man-machine complexes, it should be noted the possibility of unauthorized actions of operators or control personnel in subjectively difficult situations. During operation, these properties determine the need to consider the area of potential situations of control of man-machine complexes that were not provided for by the developers during the design.Traditionally, this problem arises at the stage of the operation of the complexes, when situations of the system functioning unforeseen by the developers arise from time to time. Further, they form the basis of projects for the modernization or improvement of this type of equipment. The purpose of this work is to consider the constructive conceptual apparatus, methods of analysis, including formal means of identifying and assessing the functional redundancy of organizational structures of operational management systems and to develop principles for its use to ensure the homeostaticity of group activities of operators in conditions of negative influence of environmental factors. The article systematizes the basic concepts and definitions of homeostasis of group activity of operators of control groups of modern man-machine complexes. On the basis of the set-theoretic model, the conditions for increasing the stability of the activity of a group of operators in conditions of the negative impact of external factors are determined. The set-theoretical analysis of the functionally redundant organizational structure of operational management systems carried out in the article makes it possible to determine the conditions and mechanisms for expanding the area of homeostasis of the functioning of the organizational structures of control systems, the implementation of which is associated with the methods of coordinating and motivational influence on operators, improving the structure of their information and functional interactions and substitutions (emulation) of the functions of the operators of the degrading control group.