Обобщение структурных свойств наблюдаемости и идентификации в задачах навигационно-баллистического обеспечения управления космическими аппаратами

Abstract

The paper focuses on the application of the introduced original properties of measuring tasks in the practice of navigation and ballistic support of spacecraft control. Based on the presentation of mathematical models of dynamic and measuring systems, as well as on the uncertainty of the considered quantities, a classification of measuring tasks is given. The methods of statistical and confluent analysis of parametric identification of complex dynamic objects, which are essentially special cases of the structural observability property, are investigated. The paper gives a classical mathematical formulation of the measuring task, and shows that the traditional study of the considered characteristic properties of such tasks for emergency situations is insufficient. At the same time, the task of the technological cycle of navigation-ballistic support for determining the parameters of spacecraft motion should be presented as an object-system task — a tool for solving. Such measuring tasks are proposed to be characterized by generalized structural properties. In this paper, we studied the application of generalized observability and generalized identification to the practical tasks of navigation and ballistic support of spacecraft control. As a result, we proposed an algorithm for checking generalized observability and identification in measuring tasks. Findings of research show that the machinery of the theory of ultra-operators and ultra-systems is effective for the study of such tasks when using the information derivative