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Vol.5 , No. 1, Publication Date: Jan. 18, 2018, Page: 15-23
 under measurements, and we carry out identification of attitude control system using discrete measurements. Main task is determination of the approximating functions in analytical form and constructing the mathematical model of motion. For finding the analytical functions which describe motion of rigid body about centre of mass, the method of trained models is used. It is shown that presented algorithms of data processing reconstruct continuous functions under discrete measurements with minimal error. Also, we have demonstrated the possibilities of designed method and its advantages for the solving the problems of identification of physical processes and technical systems. Our mathematical instruments can successfully be used for analyses of onboard systems of spacecraft. As an example, the problem of identification of attitude control system using result of measurements is studied in detail for multi-modular spacecraft. The problem of exact identification of a controlled motion (including a method of control) and determination of numerical values of main parameters of control algorithm at the regime of a programmed turn has been solved. High-precision reconstruction of actual controlled motion of a spacecraft allows us to make identification of attitude system with big reliability. Designed techniques demonstrate better characteristics. Mathematical technology, described in this article, was used in official reports on analysis of onboard control system of spacecraft motion (including multi-modular orbital station).&picture=http://www.aascit.org/aascit/decorators/img/journal/921.jpg)
| [1] | Mikhail Valer'evich Levskii, Department of Ballistics and Navigation, Research Institute of Space Systems, Korolev, Russia. |
In this paper, we reconstruct the functions describing angular motion of rigid body (in particular, spacecraft) under measurements, and we carry out identification of attitude control system using discrete measurements. Main task is determination of the approximating functions in analytical form and constructing the mathematical model of motion. For finding the analytical functions which describe motion of rigid body about centre of mass, the method of trained models is used. It is shown that presented algorithms of data processing reconstruct continuous functions under discrete measurements with minimal error. Also, we have demonstrated the possibilities of designed method and its advantages for the solving the problems of identification of physical processes and technical systems. Our mathematical instruments can successfully be used for analyses of onboard systems of spacecraft. As an example, the problem of identification of attitude control system using result of measurements is studied in detail for multi-modular spacecraft. The problem of exact identification of a controlled motion (including a method of control) and determination of numerical values of main parameters of control algorithm at the regime of a programmed turn has been solved. High-precision reconstruction of actual controlled motion of a spacecraft allows us to make identification of attitude system with big reliability. Designed techniques demonstrate better characteristics. Mathematical technology, described in this article, was used in official reports on analysis of onboard control system of spacecraft motion (including multi-modular orbital station).
Keywords
Approximating Function, Method of Trained Models, Measurements, Pattern Model, Discrepancy
Reference
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