Математическое моделирование интервальнозаданной системы управления движением искусственного спутника Земли в среде MatLab

Abstract

The article discusses the features of studying complex intervals-given systems. An approach of point approximation of intermediate systems based on key matrices is proposed. Based on the proposed approach, a group of point matrices is obtained and, accordingly, a group of objects with conditions for applying the decomposition procedure, for which the conditions for studying dynamic properties, such as controlled and controlled for them, are set. The developed theoretical apparatus is designed for motion control systems of an artificial satellite of the Earth, for which a model is developed, represented by a system of differential equations with intervals, the key matrix method is applied and a fourpoint model is obtained. Modeling schemes were created for each process in the MatLab environment, modeling characteristics were obtained. A description of a multi-link system consisting of several movable models manufactured at the Center for Space Technology and Microgravity (ZARM) of the University of Bremen (Germany) is given. A mathematical model of the motion of this system has been created. The results of mathematical modeling of a motion control algorithm that ensures the movement of system elements along a given trajectory are presented. Several configurations of the system, ways of interaction of its elements are considered, the dependence of the system parameters on the motion parameters is investigated, the control accuracy is investigated.