Robust Algorithms for Formation Flying Reconfiguration

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Dr. Gianmarco Radice
Dr. Gianmarco Radice
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Tao Yang
Tao Yang Ph.D, Ohio State University
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Weihua Zhang
Weihua Zhang
α University of Glasgow University of Glasgow

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Robust Algorithms for Formation Flying Reconfiguration

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Abstract

Over the last 20 years spacecraft formation flying has been the subject of numerous research activities due to the advantages offered when compared with large, complex, single purpose satellites. With the obvious advantages of increased functionality and enhanced reliability, come however, also substantial challenges in the maintenance and reconfiguration of the spacecraft formation. The present paper addresses these problems by proposing two approaches that can be mathematically validated thus making it attractive for safety critical applications such as proximity operations. The first approach hinges on the implementation of pursuit algorithms first studied by French scientist Pierre Bouguer in the 18th century. The proposed approach separates the control law into two distinct stages: planar movement control and orthogonal displacement suppression. The second approach relies on the use of motion camouflage which is a hunting technique widely used in the natural world that allows a predator to approach a prey while appearing to remain stationary. A number of different scenarios are presented and the two approaches implemented within them. Numerical results shows that both methods are robust to dynamical uncertainties and do ensure the correct reconfiguration manoeuvres.

References

14 Cites in Article
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  3. Staffan Persson,Sytze Veldman,Per Bodin (2009). PRISMA—A formation flying project in implementation phase.
  4. E Gill,P Sundaramoorthy,J Bouwmeester,B Zandbergen,R Reinhard (2010). Formation flying within a constellation of nano-satellites: The QB50 mission.
  5. P Lamy,S Vivès,L Damé,S Koutchmy (2008). New perspectives in solar coronagraphy offered by formation flying: from PROBA-3 to Cosmic Vision.
  6. R Sandau (2010). Status and Trends of Small Satellite Missions for Earth Observation.
  7. Raymond Kristiansen,Per Nicklasson (2009). Spacecraft formation flying: A review and new results on state feedback control.
  8. Insu Chang,Sang-Young Park,Kyu-Hong Choi (2009). Decentralized coordinated attitude control for satellite formation flying via the state-dependent Riccati equation technique.
  9. S Kamran,K Kumar (2010). Formation Control at the Sun-Earth L2 Libration point Using Solar Radiation Pressure.
  10. B Kumar,A Hg,K Yoshihara,A De Ruiter (2011). Differential Drag as a Means of Spacecraft Formation Control.
  11. Feng Wang,Xueqin Chen,Antonios Tsourdos,Brian White,Yunhua Wu (2011). Nonlinear relative position control of precise formation flying using polynomial eigenstructure assignment.
  12. Hyo‐sung Ahn,Kevin Moore,Yangquan Chen (2010). Trajectory‐keeping in satellite formation flying via robust periodic learning control.
  13. A Bernhart (1959). Polygons of Pursuit.
  14. Akiko Mizutani,Javaan Chahl,Mandyam Srinivasan (2003). Motion camouflage in dragonflies.

Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

How to Cite This Article

Dr. Gianmarco Radice. 2012. \u201cRobust Algorithms for Formation Flying Reconfiguration\u201d. Global Journal of Research in Engineering - D: Aerospace Science GJRE-D Volume 12 (GJRE Volume 12 Issue D1): .

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Journal Specifications

Crossref Journal DOI 10.17406/gjre

Print ISSN 0975-5861

e-ISSN 2249-4596

Version of record

v1.2

Issue date

February 25, 2012

Language
en
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Over the last 20 years spacecraft formation flying has been the subject of numerous research activities due to the advantages offered when compared with large, complex, single purpose satellites. With the obvious advantages of increased functionality and enhanced reliability, come however, also substantial challenges in the maintenance and reconfiguration of the spacecraft formation. The present paper addresses these problems by proposing two approaches that can be mathematically validated thus making it attractive for safety critical applications such as proximity operations. The first approach hinges on the implementation of pursuit algorithms first studied by French scientist Pierre Bouguer in the 18th century. The proposed approach separates the control law into two distinct stages: planar movement control and orthogonal displacement suppression. The second approach relies on the use of motion camouflage which is a hunting technique widely used in the natural world that allows a predator to approach a prey while appearing to remain stationary. A number of different scenarios are presented and the two approaches implemented within them. Numerical results shows that both methods are robust to dynamical uncertainties and do ensure the correct reconfiguration manoeuvres.

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Robust Algorithms for Formation Flying Reconfiguration

Dr. Gianmarco Radice
Dr. Gianmarco Radice University of Glasgow
Tao Yang
Tao Yang
Weihua Zhang
Weihua Zhang

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