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 language | English |
|---|---|
| Title of host publication | 68th International Astronautical Congress, IAC 2017 |
| Subtitle of host publication | Unlocking Imagination, Fostering Innovation and Strengthening Security |
| Publisher | International Astronautical Federation, IAF |
| Pages | 7186-7194 |
| Number of pages | 9 |
| ISBN (Print) | 9781510855373 |
| Publication status | Published - Jan 1 2017 |
| Event | 68th International Astronautical Congress: Unlocking Imagination, Fostering Innovation and Strengthening Security, IAC 2017 - Adelaide, Australia Duration: Sep 25 2017 → Sep 29 2017 |
Publication series
| Name | Proceedings of the International Astronautical Congress, IAC |
|---|---|
| Volume | 11 |
| ISSN (Print) | 0074-1795 |
Other
| Other | 68th International Astronautical Congress: Unlocking Imagination, Fostering Innovation and Strengthening Security, IAC 2017 |
|---|---|
| Country | Australia |
| City | Adelaide |
| Period | 9/25/17 → 9/29/17 |
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All Science Journal Classification (ASJC) codes
- Aerospace Engineering
- Astronomy and Astrophysics
- Space and Planetary Science
Cite this
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 proceeding › Conference contribution
}
TY - GEN
T1 - Formation flying along elliptical orbit using attractive sets of optimal control
AU - Yamane, Motoki
AU - Bando, Mai
AU - Hokamoto, Shinji
PY - 2017/1/1
Y1 - 2017/1/1
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85051445928&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85051445928&partnerID=8YFLogxK
M3 - Conference contribution
AN - SCOPUS:85051445928
SN - 9781510855373
T3 - Proceedings of the International Astronautical Congress, IAC
SP - 7186
EP - 7194
BT - 68th International Astronautical Congress, IAC 2017
PB - International Astronautical Federation, IAF
ER -