Optimal control of deployment of the spoke of a transformable reflector in the presence of disturbances

Optimal control of deployment of the spoke of a transformable reflector in the presence of disturbances

Автор: Kabanov S.A., Kabanov D.S., Nikulin E.N., Mitin F.V.

Журнал: Siberian Aerospace Journal @vestnik-sibsau-en

Рубрика: Informatics, computer technology and management

Статья в выпуске: 4 vol.23, 2022 года.

Бесплатный доступ

Currently, the development of large-sized space structures and, in particular, transformable reflectors is actively developing. A feature of these devices is a small volume during transportation and large dimensions in the expanded working condition. Therefore, it is important to carry out a reliable and smooth deployment, adjust the shape of the active radio-reflecting surface with a given accuracy, and adjust the orbital position. In outer space, the system is constantly exposed to radiation, there is a large temperature difference in near-Earth orbit, there is a solar wind, which mainly affects the radiation pattern. In this paper, the process of deployment of the reflector spokes in the presence of disturbances and measurement errors is considered. The solution to the problem is presented using the separation theorem. To estimate the parameters of the system in the presence of measurement noise, the Kalman filter is applied. Its performance is shown at various values of the noise intensity. A random process such as white noise was selected as external disturbances and measurement noises. The control problem is solved using the optimal control algorithm according to the hierarchy of target criteria. The possibility of minimizing energy costs by means of interval switching on of measuring sensors is shown. The results of numerical simulation are presented.

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Sequential optimization algorithm, large-size transformable reflector, optimal filtration, mathematical model, modeling

Короткий адрес: https://sciup.org/148329655

IDR: 148329655   |   DOI: 10.31772/2712-8970-2022-23-4-602-614

Список литературы Optimal control of deployment of the spoke of a transformable reflector in the presence of disturbances

  • Puig L., Barton A., Rando N. A review on large deployable structures for astrophysics missions. Acta Astronautica. 2019, Vol. 67(1), P. 12–26.
  • Polyanskij I. S., Arhipov N. S., Misyurin S. Yu. [On the solution of the problem of optimal control of an adaptive multi-beam reflector antenna]. Avtomat. i telemekh. 2019, No. 1, P. 83–100 (In Russ.).
  • Vlasov A. Yu., Amel'chenko N. A., Pasechnik K. A., Titov M. A., Serzhantova M. V. [Static and modal analysis of the power construction of the precision large-sized antenna reflector from polymer composite materials]. Siberian Journal of Science and Technology. 2017, No. 4, P. 897–901 (In Russ.).
  • Nie R., He B., Zhang L. Deployment dynamics modeling and analysis for mesh reflector antennas considering the motion feasibility. Nonlinear Dyn. 2018, Vol. 91, P. 549–564.
  • Thomson M. W. The AstroMesh Deployable Reflector. IUTAM-IASS Symposium on Deployable Structures: Theory and Applications, 2000, P. 435–446.
  • Li P., Liu C., Tian Q., Hu H., Song Y. Dynamics of a deployable mesh reflector of satellite antenna: form finding and modal analysis. J Comput. Nonlinear Dyn. 2016, Vol. 11(4), P. 549–564.
  • Reznik S. V., Chubanov D. E. [Large-sized transformable space antenna reflector made оf composite materials dynamic modeling process]. RUDN Journal of Engineering Researches. 2018, Vol. 19(4), P. 411–425 (In Russ.).
  • Bakulin V. N., Borzyh S. V. [Modeling the dynamics of the process of deployment large-sized transformable space structures]. Izvestiya vysshih uchebnyh zavedenij. Aviacionnaya tekhnika. 2020, No. 4, P. 50–56 (In Russ.).
  • Berns V. A., Levin V. E., Krasnorutsky D. A., Marinin D. A., Zhukov E. P., Malenkova V. V., Lakiza P. A. [Development of a calculation and experimental method for modal analysis of large transformable space structures]. Spacecrafts & Technologies, 2018, Vol. 2, No. 3, P. 125–133 (In Russ.).
  • Huang H., Cheng Q., Zheng L., Yang Y. Development for petal-type deployable solid-surface reflector by uniaxial rotation mechanism. Acta Astronautica. 2021, No. 178, P. 511–521.
  • Ishkov V. N. [Solar geoeffective phenomena: Action on the near-earth outer space and the possibility of the forecast]. Slozhnye sistemy. 2012, No. 4 (5), P. 21–41 (In Russ.).
  • Mihalyaev B. B., Derteev S. B., Lagaev I. Yu., Osmonov T. T. [Vliyanie solnechnoj aktivnosti na magnitosferu Zemli]. Aktual'nye problemy sovremennoj fiziki i matematiki. trudy. 2017, P. 92–97 (In Russ.).
  • Kabanov S. A., Mitin F. V. Optimization of the Processes of Deploymentand Shape Generationfor a Transformable Space-Based Reflector. Journal of Computer and Systems Sciences International, 2021, Vol. 60, No. 2, P. 283–302.
  • Kabanov S. A., Kabanov D. S. Deployment the Spoke of a Large-Sized Transformable Refl ector Using a Sequential Optimization Algorithm. Mekhatronika, Avtomatizatsiya, Upravlenie. 2021; Vol. 22(8), P. 433–441 (In Russ.).
  • Kabanov S. A., Kabanov D. S., Nikulin E. N., Mitin F. V. Optimal control of deployment of the spoke of a transformable reflector in the presence of disturbance. Siberian Aerospace Journal. 2021, Vol. 22, No. 4, P. 649–659.
  • Malyshev V. V., Krasil'shchikov M. N., Karlov V. I. Optimizaciya nablyudeniya i upravleniya letatel'nyh apparatov [Optimization of surveillance and control of aircraft]. Moscow, Mashinostroenie Publ., 1989, 312 p. (In Russ.).
  • Kabanov D. S. Optimal control of a stochastic system with the correction of observation intervals. Sistemnyy analiz, upravlenie i navigaciya. Moscow, MAI Publ., 2022, P. 119–120.
  • Kabanov S. A., Kabanov D. S., Nikulin E. N., Mitin F. V. Optimal control of deployment of the spoke of a transformable reflector in the presence of disturbance. Sistemnye analiz, upravlenie i navigaciya. Moscow, MAI Publ., 2022, P. 117–118.
  • Spravochnik po teorii avtomaticheskogo upravleniya. [Handbook on the theory of automatic control.]. Ed. by A. A. Krasovskiy. Moscow, Nauka Publ., 1987, 712 p. (In Russ.).
  • Mikroprivod. Seriya phySPACE dlja raboty v kosmose, diametr 19–125 mm [Microdrive. phySPACE Space Series, 19–125 mm diameter]. Available at: http://www.microprivod.ru/catalog/ phytron/seriya-vssspase-dlya-rabotyi-v-kosmose,diametr-19-125-mm.html (accessed: 31 August 2022) (In Russ.).
  • LIR-MA208E. Absoljutnyy uglovoy yenkoder [LIR-MA208E. Absolute rotary encoder]. Available at: https://skbis.ru/catalog/rotary/absolute-rotary-encoders/lir-ma208e (accessed: 31 August 2022) (In Russ.).
  • Kabanov S. A. Optimizaciya dinamiki sistem pri deystvii vozmushcheniy [Optimization of the dynamics of systems under the action of disturbances]. Moscow, Fizmatlit Publ., 2008, 200 p.
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