ISSN 1991-2927

ACP № 2 (60) 2020

Dynamic Models of Information Processes in Hierarchical Control Systems

Aleksandr Kupriianovich Ivanov, Federal Research-and-Production Center Joint Stock Company ‘Research-and-Production Association ‘Mars’, Doctor of Engineering, Honoured Worker of Science and Engineering of the Ulyanovsk Region; graduated from the Faculty of Physics of Irkutsk State University; finished his postgraduate studies at Bauman Moscow Higher Technical School and his doctoral studies at Ulyanovsk State Technical University; Chief Staff Scientist at Federal Research-and-Production Center Joint Stock Company ‘Research-and-Production Association ‘Mars’; an author of monographs, articles, and the manual in the field of mathematical modeling of hierarchical real-time computer-aided control systems. [e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it. ]A. Ivanov

Dynamic Models of Information Processes in Hierarchical Control Systems 000_1.pdf

The dynamic model of situation coverage and control planning processes was constructed on the basis of unified numeration of the hierarchical control system objects. The differential equation system describing information processes was generated for each object of the system. Analytical solutions were obtained for three lower levels of a hierarchy while situation covering and for three upper levels while control planning. Analytical solutions represent dependencies of information resources volumes on time, information processing speed, and initial data volume. The model constructing is based on the condition of information resources volume conservation in case of any transformations. The real ability of the analytical solution of differential equations for objects of all levels is shown. The results of the information processes calculations in two-level systems are considered. The constructed models allow to hold investigations of certain properties of a system promptly and without significant costs in different situations. For examples, such models allow to estimate the control cycle time while changing speed of information processing on objects. On the stages of design, the use of models gives an opportunity to formalize and automate the search of optimal project solutions and provides improvement in quality and losses in cost.

Hierarchical control systems, information processes, differential models.

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