- PII
- S30345502S0023420625050023-1
- DOI
- 10.7868/S3034550225050023
- Publication type
- Article
- Status
- Published
- Authors
- Volume/ Edition
- Volume 63 / Issue number 5
- Pages
- 471-481
- Abstract
- Methods for synthesizing control of the relative motion of a group of spacecraft are considered. The main goal is to develop a control strategy that compensates for the disintegration of the group caused by relative orbital drift. The control design employs techniques based on various types of graphs to describe satellite interactions. A proof is provided demonstrating the feasibility of eliminating relative satellite drift using a method based on directed graphs. The resulting algorithm is adapted to scenarios where one or more spacecraft in the group may malfunction. To derive the control in such cases, a modified version of the Raft protocol for achieving consensus in multi-agent systems is used. In addition to analytical derivations and the general methodology, the work presents results from numerical simulations.
- Keywords
- Date of publication
- 07.01.2026
- Year of publication
- 2026
- Number of purchasers
- 0
- Views
- 32
References
- 1. Mesbahi M., Egerstedt M. Graph theoretic methods in multiagent networks. Princeton University Press, 2010. 424 p.
- 2. Monakhova U., Ivanov D., Mashtakov Y. et al. Communication area estimation for decentralized control of nanosatellites swarm // Acta Astronautica. 2023. V. 211. P. 49–59. https://doi.org/10.1016/j.actaastro.2023.06.003
- 3. Дадашев Р.Р., Шестаков С.А. Методика управления группой спутников на основе коммуникационных графов // Препринты ИПМ им. М.В. Келдыша. 2022. № 90. С. 1–31. https://doi.org/10.20948/prepr-2022-90
- 4. Clohessy W.H., Wiltshire R.S. Terminal Guidance System for Satellite Rendezvous // J. Aerospace Sciences. 1960. V. 27. Iss. 9. P. 653–658. https://doi.org/10.2514/8.8704
- 5. Fischer M.J., Lynch N.A., Paterson M.S. Impossibility of distributed consensus with one faulty process // J. Association for Computing Machinery. 1985. V. 32. Iss. 2. P. 374–382. https://doi.org/10.1145/3149.214121
- 6. Lamport L. The part-time parliament // ACM Transactions on Computer Systems. 1998. V. 16. Iss. 2. P. 133–169. https://doi.org/10.1145/279227.279229
- 7. Lamport L. Lower bounds for asynchronous consensus // Distributed Computing. 2006. V. 19. Iss. 2. P. 104–125. https://doi.org/10.1007/s00446-006-0155-x
- 8. Oki B.M., Liskov B.H. Viewstamped replication: a general primary copy // Proc. 7th annual ACM Symposium on Principles of distributed computing – PODC'88. 1988. P. 8–17. https://doi.org/10.1145/62546.62549
- 9. Skeen D. A Quorum-Based Commit Protocol // Proc. 6th Berkeley Workshop. 1982. P. 69–80.
- 10. Junqueira F.P., Reed B.C., Serafini M. Zab: High-performance broadcast for primary-backup systems // IEEE/IFIP 41st International Conference on Dependable Systems & Networks (DSN). 2011. P. 245–256. https://doi.org/10.1109/DSN.2011.5958223
- 11. Ongaro D., Ousterhout J. In search of an understandable consensus algorithm // USENIX Annual Technical Conference (USENIX ATC 14). 2014. P. 305–319. https://doi.org/10.5555/2643634.2643666
- 12. Tariverdi A., Torresen J. Rafting Towards Consensus: Formation Control of Distributed Dynamical Systems. 2023. https://doi.org/10.48550/arXiv.2308.10097
