Construction and research of the functional graph of the process of managing the flight of the automatic space vehicle

Abstract

Synergetic phenomena arising from the interaction of onboard systems (OS) have a significant impact on the resource support for the flight of an automatic spacecraft (AS) [1]. It is proposed to identify, evaluate and use new qualitative integrative (system) changes due to synergistic phenomena arising in the system due to the property of OS nonclonability [2], in order to rationally use existing and acquire new functional resources. To analyze and study the operation of the OS taking into account phenomena, a transition is made from the decomposition of the structure of the AS as a material object to the decomposition and stratification of the complex process of controlling its flight. In accordance with the decomposition and stratification of a complex process, a hierarchical cognitive map is formed for it in the form of sets of oriented functional graphs distributed over the levels of strata, in each of which physical, energy and informational connections between the processes occurring in the OS are fixed. Using the constructed graphs, a transition is made from a verbal description of the control process to a mathematical one. In this case, functional graphs are transferred to the category of weighted ones, where at the vertices and arcs a functional relationship is established between the consumed resources in the OS and the processes proceeding in them, depending on the input actions [3]. The weights of the vertices of the graphs are proportional to the coefficients characterizing the available flight time for performing the corresponding flight operations. Each element of the set of arcs is set in accordance with the weight of the sets of graphs of binary relations built on the Cartesian product of two sets of control and disturbing influences. In this case, the synergetic factor is taken into account as an additional impact, which is part of the set of disturbing influences. The topological properties of the graph of the complex AS flight control process are determined and analyzed. A description of the process model and its study is carried out.