Yukhimchuk M. Mathematical Modeling of Automatic systems with logical control devices.

Object of research- the processes in automatic systems with variable parameters, which concerns the logical control devices, in terms of parametric perturbations; objective of work is to ensure sustainable functioning of managers with logical devices in uncontrolled changes in their parameters based on new and improved modeling of such systems, methods of research: regulations and methods of control theory to develop a method of automatic modeling system managers logical devices, methods of harmonic analysis to determine the coefficients of harmonic linearization methods for stability analysis of relay systems for automatic analysis methods to assess the stability of automatic control systems with logical managers devices, position and vibration theory methods for determining the parameters of oscillations automatic system managers with logical devices estimation theory to study the adequacy of the developed models. Scientist results: first simulation method developed automated systems control logical devices, for the first time the analytical expressions for calculating the coefficients of harmonic linearization equation logic controller, first developed method for assessing the impact of uncontrolled parametric perturbations on the stability of automatic systems with logical device control, improved method for stability analysis of systems with logical device control. Practical results - the technique of modeling and analysis of automatic systems with logical device managers for example, automatic fire extinguishing systems used in rail transport, the algorithm research of automatic systems managers logical devices, which includes the effect of uncontrolled parametric perturbations system, developed a computer program for Modeling nonlinear systems with logical devices managers to determine regions of stability of such systems taking into account parametric perturbations during the design, operation and diagnostics. Degree of implementation - the main results established on the South Western Railway and the learning process Vinnytsia National Technical University. Scope (branch) of use- automatic process control systems.