GEOMETRIC MODELS AND METHODS IN CONTROL AND DIAGNOSTICS OF COMPLEX SYSTEMS

Tverdokhlebov Vladimir Aleksandrovich, doctor of technical sciences, professor, senior researcher, Institute of Precision Mechanics and Control of Russian Academy of Sciences (440028, 24b Rabochia street, Saratov, Russia), tverdokhlebovva@list.ru

519.713

In solving of control and diagnosing problems of functioning of complex man-machine systems have difficulties related to the large amount of formed аnd analyzed information, related to using the apparatus of continuous numerical mathematics for reporting and analysis of heterogeneous data (numeric, logical, character). The article describes the models and methods for constructing geometric images of automaton mappings defining processes in the system, considered the properties of geometric images of automaton mappings, are shown features of the control and diagnosis of complex systems. In addition, are shown embodiment of the decomposition process in general functioning of a complex system to a basic processes and derivatives thereof. Based on the analysis of the features of control and diagnosis of complex systems concluded that the solution of problems of control and diagnosing required to consider streams of automaton states changes used as a model of system. Thereby are presented the developed classification of streams of changes of states of automatons, which is the model of workable system and a system containing defects of selected for analysis set of defects. To justify the main conclusions is used the theorem, in which the evidence contained in the papers, on which specified link.

system, automaton, control, diagnosing, experiment, automaton mapping, geometric image.