Abstract
A problem concerned with studying of dynamics of angular motion of large space structures and flexible spacecraft was considered. It stems from the need to take into account multiple elastic modes when analyzing and designing their control systems. It was proposed to seek a solution to this problem, which is especially noticeable when modeling processes with high-frequency oscillations, on the way to replacing the precise solution of the equations of these motions by an approximate solution, that is, to determine a relatively low-frequency envelope of the precise solution, which allows one to extend the step of integration and, therefore, reduce the time of modeling. Two approaches to estimating the envelop were proposed, and their efficiencies were compared by the example of modeling angular stabilization of the flexible satellite with five elastic modes.
Similar content being viewed by others
REFERENCES
Rutkovskii, V.Yu. and Sukhanov, V.M., Large Space Structures: Models, Methods of Study, and Principles of Control, II, Avtom. Telemekh., 1996, no. 8, pp. 55–66.
Gregory, C.Z., Jr., Reduction of Large Flexible Spacecraft Models Using Internal Balancing Theory, J. Guidance, Control, Dynamics, 1984.
Chen, J.C., Analytical Model Accuracy Requirement for Structural Dynamic Systems, J. Spacecraft, Rockets, 1984, vol. 21, no. 4, pp. 366–373.
Rutkovsky, V.Yu., Sukhanov, V.M., and Dodds S.J., Nonexciting Control by Orientation of Flexible Space Vehicles, 14th IFAC Symp. on Automatic Control in Aerospace, Seoul, 1998.
Silaev, A.V., Studying the Envelope of Elastic Oscillations of the Flexible Spacecraft under Discrete Control Action, Tr. Mezhdunar. nauch.-tekhn. seminara “Sovremennye tekhnologii v zadachakh upravleniya, avtomatiki i obrabotki informatsii" (Proc. Int. Seminar “Modern Technologies in the Problems of Control, Automation, and Information Processing"), Alushta, 1998, pp. 382–384.
Silaev, A.V., Algorithm to Estimate the Envelope of Elastic Oscillations of the Flexible Spacecraft under Discrete Control Action, Tr. Mezhdunar. nauch.-tekhn. seminara “Sovremennye tekhnologii v zadachakh upravleniya, avtomatiki i obrabotki informatsii" (Proc. Int. Seminar “Modern Technologies in the Problems of Control, Automation, and Information Processing"), Alushta, 1999, pp. 368–370.
Sukhanov, V.M. and Glumov, V.M., Method of Quasienvelope in the Problems of Approximate Study of Oscillations of Nonlinear Dynamic Systems, Tr. V Mezhdunar. seminara “Ustoichivost' i kolebaniya nelineinykh sistem upravleniya" (Proc. V Int. Seminar “Stability and Oscillations of Nonlinear Control Systems"), Moscow: Inst. Probl. Upravlen., 1998, pp. 32–33.
Bogolyubov, N.N. and Mitropol'skii, Yu.A., Asimptoticheskie metody v teorii nelineinykh kolebanii (Asymptotic Methods in the Theory of Nonlinear Oscillations), Moscow: Nauka, 1974.
Borisov, V.G., Ermilova, T.V., and Sukhanov, V.M., Estimation of the Coordinates of the Modal-Physical Model of Flexible Spacecraft, in Integrirovannye bortovye kompleksy (Integrated Onboard Systems), Moscow: Voen. Vozd. Ing. Akad., 1996, pp. 186–207.
Kharchenkov, G.G. and Shubin, A.B., A Method for Identification of the Parameters of Flexible Space Structure and an Algorithm of its Program Control, Tr. III Mezhdunar. simpoz. “Intellektual'nye sistemy” (Proc. III Int. Symp. “Intelligent Systems”), Pupkov, K.A., Ed., Moscow: TVK, 1998, pp. 96–98.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Silaev, A.V., Sukhanov, V.M. Methods of Estimating the Envelope of Elastic Oscillations of the Flexible Spacecraft. Automation and Remote Control 63, 587–600 (2002). https://doi.org/10.1023/A:1015126114663
Issue Date:
DOI: https://doi.org/10.1023/A:1015126114663