{"title":"Finite-time fault-tolerant consensus control for multiple solar sail formation flying around heliocentric inclined elliptic displaced orbits","authors":"Lei Liu, Jinguo Liu, Xin Zhang","doi":"10.1007/s42064-025-0272-6","DOIUrl":null,"url":null,"abstract":"<div><p>This paper studies solar sail heliocentric inclined elliptic displaced orbits (HIEDOs) with the application of reflectivity control devices (RCDs). In the solar sail HIEDO, the angle between the line from the Sun to the focus and the elliptic orbital plane is variable. A novel method is given to solve the sail attitude angles and the state of RCDs to achieve HIEDOs. Furthermore, this paper analyzes the problem of multiple solar sail formation flying (MSSFF) around HIEDOs, which consists of a chief and multiple deputies. The chief moves in an HIEDO and does not need to obtain the information from the deputies. The deputies need to receive the information from the chief, and an undirected connected graph is adopted to represent the information exchange structure between the deputies. Considering the convergence speed and reliability of the solar sail formation system, an innovative finite-time fault-tolerant distributed coordinated control scheme is devised. Under this control scheme, the deputies can consistently converge to the expected solar sail formation configuration within a finite time, even in the presence of the actuator effectiveness faults within a certain range. Finally, an example is used to verify the validity of the designed control scheme.</p><div><figure><div><div><picture><source><img></source></picture><span>The alternative text for this image may have been generated using AI.</span></div></div></figure></div></div>","PeriodicalId":52291,"journal":{"name":"Astrodynamics","volume":"10 2","pages":"219 - 237"},"PeriodicalIF":8.1000,"publicationDate":"2026-03-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Astrodynamics","FirstCategoryId":"1087","ListUrlMain":"https://link.springer.com/article/10.1007/s42064-025-0272-6","RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"ASTRONOMY & ASTROPHYSICS","Score":null,"Total":0}
引用次数: 0
Abstract
This paper studies solar sail heliocentric inclined elliptic displaced orbits (HIEDOs) with the application of reflectivity control devices (RCDs). In the solar sail HIEDO, the angle between the line from the Sun to the focus and the elliptic orbital plane is variable. A novel method is given to solve the sail attitude angles and the state of RCDs to achieve HIEDOs. Furthermore, this paper analyzes the problem of multiple solar sail formation flying (MSSFF) around HIEDOs, which consists of a chief and multiple deputies. The chief moves in an HIEDO and does not need to obtain the information from the deputies. The deputies need to receive the information from the chief, and an undirected connected graph is adopted to represent the information exchange structure between the deputies. Considering the convergence speed and reliability of the solar sail formation system, an innovative finite-time fault-tolerant distributed coordinated control scheme is devised. Under this control scheme, the deputies can consistently converge to the expected solar sail formation configuration within a finite time, even in the presence of the actuator effectiveness faults within a certain range. Finally, an example is used to verify the validity of the designed control scheme.
The alternative text for this image may have been generated using AI.
期刊介绍:
Astrodynamics is a peer-reviewed international journal that is co-published by Tsinghua University Press and Springer. The high-quality peer-reviewed articles of original research, comprehensive review, mission accomplishments, and technical comments in all fields of astrodynamics will be given priorities for publication. In addition, related research in astronomy and astrophysics that takes advantages of the analytical and computational methods of astrodynamics is also welcome. Astrodynamics would like to invite all of the astrodynamics specialists to submit their research articles to this new journal. Currently, the scope of the journal includes, but is not limited to:Fundamental orbital dynamicsSpacecraft trajectory optimization and space mission designOrbit determination and prediction, autonomous orbital navigationSpacecraft attitude determination, control, and dynamicsGuidance and control of spacecraft and space robotsSpacecraft constellation design and formation flyingModelling, analysis, and optimization of innovative space systemsNovel concepts for space engineering and interdisciplinary applicationsThe effort of the Editorial Board will be ensuring the journal to publish novel researches that advance the field, and will provide authors with a productive, fair, and timely review experience. It is our sincere hope that all researchers in the field of astrodynamics will eagerly access this journal, Astrodynamics, as either authors or readers, making it an illustrious journal that will shape our future space explorations and discoveries.