On Methods for Modeling Controlled Dynamics in Stabilization Problems

Automatic devices make up the vast maj ority of technological equipment in modern production. To obtain an output product of appropriate quality, the most complex program control algorithms can be implemented in actuators, including those found by mathematical control theory methods. Stable given operating mode implementation for controlled systems is ensured by its stabilization. In mathematical control theory, rigorous methods have been developed for solving stabilization problems; the effectiveness of their practical application is determined by the adequacy of the mathematical model of the control object used. The article outlines the main approaches to building models with a discussion of their required accuracy. Specific examples of solving stabilization problems for certain technical systems classes with different orders models of accuracy are given.