Article

Cover

Title

Optimal deployment of the spoke of a largesized transformable reflector according to the hierarchy of criteria

Authors

S.A. Kabanov, D.S. Kabanov

Organization

Baltic State Technical University «VOENMEH» named after D. F. Ustinov
Saint Petersburg, Russian Federation

Abstract

The article discusses the process of controlling the angular motion of the spoke of a large-sized space-based reflector, taking into account bending vibrations. Currently, large antennas are actively used for receiving and transmitting data. When launching large structures into space, the problem arises of reliably deployment the spokes, since they are packed in a small volume to be able to be installed in a launch vehicle. Due to the possibility of various abnormal situations, such as jamming of elements, engagement of the net, it is necessary to re-deployment the antenna. Therefore, it is important to develop control algorithms that can reliably solve the problems of direct and reverse motion. In the process of deployment and bringing together the elements of the reflector, various deformations appear in the structure. When the antenna spokes are brought together, lateral oscillations make the largest contribution to the oscillatory of the transient process. Currently, elastically deformed elements are used to deployment large-sized reflectors, and a control program is also used. This prevents the control from being adjusted when the deployment conditions change. The paper investigates the possibility of minimizing the vibrations of a structure during its deployment by using optimal control algorithms in real time. The forward and reverse motion of the antenna elements is performed by means of a two-criteria hierarchy optimization. The results of numerical simulation of the optimal rotation of the reflector spoke are presented. The proposed algorithm allows you to choose the optimal control in emergency situations for various types of large reflectors.

Keywords

mathematical model, rotational motion, modeling of the process of deployment the spoke, large-sized transformable reflector, sequential optimization algorithm.

References

[1] Li B., Qi X., Huang H., Xu W. Modeling and analysis of deployment dynamics for a novel ring mechanism // Acta Astronautica, 2016, vol. 120, pp. 59–74.

[2] Hongjian W., Qiyan H., Min Y., Dehai Zh., Xingchao D., Yang L., Xue Ch. Multi-frequency dual polarisation radiometer common aperture antenna feeding system // IET Microwaves Antennas & Propagation, 2018, vol. 12, no. 11, pp. 1765–1770.

[3] Siriguleng B., Zhang W., Liu T., Liu Y. Z. Vibration modal experiments and modal interactions of a large space deployable antenna with carbon fiber material and ring-truss structure // Engineering Structures, 2020, vol. 207, pp. 148–153.

[4] Wang H. J. Multifrequency Spaceborne Deployable Radiometer Antenna Designs // IEEE Aerospace and Electronic Systems Magazine, 2020, vol. 35, no. 5, pp. 28–35.

[5] Polyanskii I. S., Arkhipov N. S., Misyurin S. Yu. O reshenii problemy optimal'nogo upravleniya adaptivnoj mnogoluchevoj zerkal'noj antennoj [On solving the optimal control problem] // Automation and Remote Control, 2019, no. 1, pp. 83–100. (In Russian)

[6] Yangmin X., Hang S., Alleyne A. G., Yang B. Feedback Shape Control for Deployable Mesh Reflectors Using Gain Scheduling Method // Acta Astronautica, 2016, vol. 121, pp. 241–255.

[7] Dewalque P., Collette J.-P., Bruls O. Mechanical behaviour of tape springs used in the deployment of reflectors around a solar panel // Acta Astronautica, 2016, vol. 123, pp. 271–282.

[8] Ramachandran S., Neve M. J., Sowerby K. W. Millimetre wave antenna deployment in a single room environment // IEEE Aerospace and Electronic Systems Magazine, 2018, vol. 12, no. 15, pp. 2390–2394.

[9] Rahmat-Samii Ya., Manohar V., Kovitz J. M., Hodges R., Freebury G., Peral E. Development of Highly Constrained 1 m Ka-Band Mesh Deployable Offset Reflector Antenna for Next Generation CubeSat Radars // IEEE Aerospace and Electronic Systems Magazine, 2019, vol. 67, no. 10, pp. 6254–6266.

[10] Tserodze S., Prowald J. S., Chkhikvadze K., Nikoladze M., Muchaidze M. Latest modification of the deployable space reflector structure with V-folding bars // CEAS Space Journal: An Official Journal of the Council of European Aerospace Societies, 2020, vol. 12, no. 2, pp. 163–169.

[11] Space Mechanisms Lessons Learned Study. Available at: https://www1.grc.nasa.gov/research-and-engineering/space-mechanisms-project/ (accessed 11.04.2021).

[12] Kabanov S. A., Mitin F. V. Optimization of the stages of deploying a large-sized space-based reflector // Acta Astronautica, 2020, vol. 176, pp. 717–724.

[13] Kabanov S. A., Mitin F. V. Optimizaciya processov raskrytiya i sozdaniya formy transformiruemogo reflektora kosmicheskogo bazirovaniya [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, pp. 283–302. (In Russian)

[14] Kabanov S. A. Upravlenie na prognoziruushih modelyah [Controling systems based on predictive models]. St. Petersburg, St. Petersburg State University Publishing House, 1997, 200 p. (In Russian)

[15] Kabanov S. A., Zimin B. A., Mitin F. V. Razrabotka i analiz matematicheskih modelej raskrytiya podvizhnyh chastej transformiruemyh kosmicheskih konstrukcij. CHast' I [Development and Research of Mathematical Models of Deployment of Mobole Parts of Transformable Space Construction. Part I] // Mekhatronika, Avtomatizatsiya, Upravlenie, 2020, vol. 21, no. 1, pp. 51–64. (In Russian)

[16] Krasovskij A. A. Spravochnik po teorii avtomaticheskogo upravlenija [Handbook on the theory of automatic control]. Moscow, Nauka, 1987, 712 p. (In Russian)

[17] Malushev V. V., Krasilshikov M. N., Karlov V. I. Optimizaciya nablyudeniya i upravleniya letatel'nyh apparatov [Optimization of surveillance and control of aircraft]. Moscow, Mashinostroenie, 1989, 312 p. (In Russian)

For citing this article

Kabanov S.A., Kabanov D.S. Optimal deployment of the spoke of a largesized transformable reflector according to the hierarchy of criteria // Spacecrafts & Technologies, 2021, vol. 5, no. 4, pp. 191-197. doi: 10.26732/j.st.2021.4.02

This Article is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0).