Formation flying along elliptical orbit using attractive sets of optimal control

Motoki Yamane, Mai Bando, Shinji Hokamoto

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

This paper proposes a new method of optimal trajectory design for formation flying along an elliptical orbit. Under linearized assumptions and a quadratic performance index, the optimal cost is quadratic in the initial state. Attractive sets of optimal control are defined as contours of the optimal cost based on linear quadratic regulator theory. It describes a set of all initial states to reach a desired state by a given cost. By solving the optimal control problem for TH equations, the optimal cost is obtained as a time-periodic function. This paper develops the attractive set for a time-periodic system and procedure to draw the attractive set is shown. The advantage of using attractive sets for optimal trajectory design is that it can determine the optimal initial state immediately. The various shape of the periodic orbit and the attractive sets are demonstrated by weight parameters of optimal control theory.

Original languageEnglish
Title of host publication68th International Astronautical Congress, IAC 2017
Subtitle of host publicationUnlocking Imagination, Fostering Innovation and Strengthening Security
PublisherInternational Astronautical Federation, IAF
Pages7186-7194
Number of pages9
ISBN (Print)9781510855373
Publication statusPublished - Jan 1 2017
Event68th International Astronautical Congress: Unlocking Imagination, Fostering Innovation and Strengthening Security, IAC 2017 - Adelaide, Australia
Duration: Sep 25 2017Sep 29 2017

Publication series

NameProceedings of the International Astronautical Congress, IAC
Volume11
ISSN (Print)0074-1795

Other

Other68th International Astronautical Congress: Unlocking Imagination, Fostering Innovation and Strengthening Security, IAC 2017
CountryAustralia
CityAdelaide
Period9/25/179/29/17

Fingerprint

elliptical orbits
formation flying
optimal control
Orbits
costs
cost
Costs
trajectory
Trajectories
trajectories
linear quadratic regulator
periodic functions
time functions
control theory
Time varying systems
Control theory
orbits

All Science Journal Classification (ASJC) codes

  • Aerospace Engineering
  • Astronomy and Astrophysics
  • Space and Planetary Science

Cite this

Yamane, M., Bando, M., & Hokamoto, S. (2017). Formation flying along elliptical orbit using attractive sets of optimal control. In 68th International Astronautical Congress, IAC 2017: Unlocking Imagination, Fostering Innovation and Strengthening Security (pp. 7186-7194). (Proceedings of the International Astronautical Congress, IAC; Vol. 11). International Astronautical Federation, IAF.

Formation flying along elliptical orbit using attractive sets of optimal control. / Yamane, Motoki; Bando, Mai; Hokamoto, Shinji.

68th International Astronautical Congress, IAC 2017: Unlocking Imagination, Fostering Innovation and Strengthening Security. International Astronautical Federation, IAF, 2017. p. 7186-7194 (Proceedings of the International Astronautical Congress, IAC; Vol. 11).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Yamane, M, Bando, M & Hokamoto, S 2017, Formation flying along elliptical orbit using attractive sets of optimal control. in 68th International Astronautical Congress, IAC 2017: Unlocking Imagination, Fostering Innovation and Strengthening Security. Proceedings of the International Astronautical Congress, IAC, vol. 11, International Astronautical Federation, IAF, pp. 7186-7194, 68th International Astronautical Congress: Unlocking Imagination, Fostering Innovation and Strengthening Security, IAC 2017, Adelaide, Australia, 9/25/17.
Yamane M, Bando M, Hokamoto S. Formation flying along elliptical orbit using attractive sets of optimal control. In 68th International Astronautical Congress, IAC 2017: Unlocking Imagination, Fostering Innovation and Strengthening Security. International Astronautical Federation, IAF. 2017. p. 7186-7194. (Proceedings of the International Astronautical Congress, IAC).
Yamane, Motoki ; Bando, Mai ; Hokamoto, Shinji. / Formation flying along elliptical orbit using attractive sets of optimal control. 68th International Astronautical Congress, IAC 2017: Unlocking Imagination, Fostering Innovation and Strengthening Security. International Astronautical Federation, IAF, 2017. pp. 7186-7194 (Proceedings of the International Astronautical Congress, IAC).
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