The up-to-date air filtration and ionization systems and units for premises, buildings and constructions have been analyzed. The peculiarities of mathematical modeling with the results of numerical and experimental research of electrostatic systems and units, distributed and autonomous, are presented. The peculiarities of discrete models of objects under research in the operator form are given. The computing algorithms, the numerical modeling software environment structure and the functioning peculiarities of automatic control local systems of electrostatic objects as part of automated dispatch control system have been developed.