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Design of modified PD algorithm to control angular motion of large space structure

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Abstract

Consideration was given to the design of an algorithm to control orientation of the large space structure (LSS) in the presence of infralow (less than 0.01Hz) frequencies of elastic oscillations exerting considerable influence on the quality of transients due to closeness of the LSS eigenfrequencies to the frequency of control of the object’s “rigid” motion. Procedure for designing a modified PD-algorithm for orientation of the LSS with infralow frequencies of elastic structural oscillations was described. Methods were proposed for calculation of the coefficients of additional components of the modified algorithm and determination of the LSS eigenfrequency boundary to the right of which the orientation control system is robust to the deviations of the object frequencies or inaccuracy of their definition. Some examples of mathematical modeling of the processes of the relay gyroforce control of LSS orientation using the proposed algorithm were given.

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References

  1. Krutova, I.N. and Sukhanov, V.M., Dynamic Features of Flexible Spacecraft Control in Process of Its Transformation into a Large Space Structure, Avtom. Telemekh., 2008, no. 5, pp. 41–56.

  2. Thematical issue “Large Space Structures: Dynamics of Control” from the materials of the American Institute of Aeronautics and Astronautics, Aerokosmicheskaya Tekhnika, 1985, vol. 3, no. 6.

  3. Titov, B.A., V’yuzhanin, V.A., and Dmitriev, V.V., Formirovanie dinamicheskikh svoistv uprugikh kosmicheskikh apparatov (Forming Dynamic Characteristics of the Elastic Spacecraft), Moscow: Mashinostroenie, 1995.

    Google Scholar 

  4. Sinyakov, A.N., Sistemy upravleniya uprugimi podvizhnymi ob”ektami (Control System for Elastic Moving Objects), Leningrad: Leningr. Gos. Univ., 1981.

    Google Scholar 

  5. Degtyarev, G.M. and Sirazetdinov, T.K., Teoreticheskie osnovy optimal’nogo upravleniya uprugimi kosmicheskimi apparatami (Theoretical Fundamentals of Optimal Control of the Elastic Spacecraft), Moscow: Mashinostroenie, 1986.

    Google Scholar 

  6. Kolesnikov, K.S. and Sukhov, V.N., Uprugii letatel’nyi apparat kak ob”ekt avtomaticheskogo upravleniya (Elastic Flying Vehicle as an Automatic Control Plant), Moscow: Mashinostroenie, 1974.

    Google Scholar 

  7. Popov, V.I. and Yanov, P.O., Control of Elastic Spacecraft Motion about the Center of Mass, in Upravlenie v prostranstve (Control in Space), Moscow: Nauka, 1975, vol. 1.

    Google Scholar 

  8. Rutkovskii, V.Yu. and Sukhanov, V.M., Large Space Structures: Models, Methods of Study, and Principles of Control. I, II, Avtom. Telemekh., 1996, no. 7, pp. 52–65; no. 8, pp. 55–66.

  9. Nurre, G.S., Ryan, R.S., Skofield, H.N., and Sims, J.I., Dynamics and Control of Large Space Structures, J. Guidance, 1984, vol. 77, no. 5, pp. 514–526.

    Article  Google Scholar 

  10. Linder, D.K. and Riechard, K., A Survey of Decentralized Control Techniques for Large Space Structures, in Proc. American Control Conf., Minneapolis, 1987, vol. 2, pp. 982–985.

    Google Scholar 

  11. Woerkom, P.Th.L.M., Synthesis and Survey of Control Laws for Large Flexible Spacecraft, Control-Theory and Advanced Technology, 1993, vol. 9, no. 3, pp. 639–669.

    MathSciNet  Google Scholar 

  12. Junkins, J.L. and Kim, Y., Introduction to Dynamics and Control of Flexible Structures, Washington: American Inst. of Aeronautics and Astronautics, 1993.

    MATH  Google Scholar 

  13. Bekey, I., An Extremely Large Yet Ultra Lightweight Space Telescope and Array (Feasibility Assessment of a New Concept), Bekey Designs, Inc., 1999.

  14. Ermilova, T.V., Sukhanov, V.M., Ermilov, A.S., and Borisov, V.G., Recurrent Estimations of the Coordinates of Angular Motion of the Elastic Spacecraft, Aviakosmicheskoe priborostroenie, 2004, no. 6, pp. 63–68.

  15. Glumov, V.M., Krutova, I.N, and Sukhanov, V.M., Fuzzy Logic-based Adaptive Control System for In-orbit Assembly of Large Space Structures, Avtom. Telemekh., 2004, no. 10, pp. 109–127.

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Original Russian Text © I.N. Krutova, V.M. Sukhanov, 2009, published in Avtomatika i Telemekhanika, 2009, No. 1, pp. 39–50.

This work was supported by the Russian Foundation for Basic Research, project no. 08-08-00512.

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Krutova, I.N., Sukhanov, V.M. Design of modified PD algorithm to control angular motion of large space structure. Autom Remote Control 70, 33–42 (2009). https://doi.org/10.1134/S0005117909010032

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