The robability-time model functioning of the hierarchical system management of heterogeneous territorial placed objects

Abstract

Background. At the current level of hierarchical systems’ development, the direction of the network method for forming control objects is actively developing. In particular, such objects are considered heterogeneous territorial placed control objects (TPCO), the tasks of which are: monitoring the external environment, delivery of goods by mobile robots, elimination of the consequences of emergency situations, etc. The problem of organizing the management of a formed TPCO network, the elements of which are initially heterogeneous and belong to different ergatic systems, is urgent and complex. The object of the research is the functional structure of the control system (CS) of the TPCO. The subject of the research is the method of constructing a probabilistic-time model of the functioning of a hierarchical control system (HCS) by different geographically distributed objects. The aim of the study is to obtain the integral and differential laws of the distribution of the time of message delivery from the unified information space (UIS) to the TPCO network based on the exponential and normal laws of information processing in successive phases. Materials and methods. In the course of the research, a probabilistic-time model of the functioning of the TPCO HCS is constructed on the basis of probability theory and the theory of hierarchical systems. Results. A probabilistic-time model of the HCS for TPCO control is developed. New mathematical dependences are proposed for the integral and differential distribution laws of the time of message delivery from the UIS to the TPCO network based on the exponential and normal laws of information processing in successive phases. Conclusions. The probabilistic-time model allows the developer to reasonably approach the setting of the parameters of the HCS during its synthesis, based on the required time of message delivery to the TPCO network with a given probability.

Keywords

• probabilistic-temporal model
• hierarchical control system
• control law
• territoryal placed control objects