Design of sliding mode controllers for formation flying along unstable periodic orbits in CR3BP

Hamidreza Nemati; Mai Bando; Shinji Hokamoto

Design of sliding mode controllers for formation flying along unstable periodic orbits in CR3BP

Hamidreza Nemati, Mai Bando, Shinji Hokamoto

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

This paper studies a control law to stabilize the orbital motion in the vicinity of an unstable equilibrium point and periodic orbits in the circular-restricted three-body problem (CR3BP). Since the libration point orbits especially around collinear points are highly unstable, time-delay in sensor and/or acutor might cause instability. In this paper, we derive a continuous sliding mode controller (Cont. SMC) to achieve robust fuel-efficient periodic motion based upon a new Lyapunov function to smooth the control input. Then, the total velocity change is investigated to reach and maintain a halo orbit in the Sun-Earth CR3BP. Simulation results show that the proposed Cont. SMC has good performance and robustness in the presence of unmodeled time-delay.

Original language	English
Title of host publication	66th International Astronautical Congress 2015, IAC 2015: Space - The Gateway for Mankind's Future
Publisher	International Astronautical Federation, IAF
Pages	5866-5879
Number of pages	14
Volume	8
ISBN (Electronic)	9781510818934
Publication status	Published - 2015
Event	66th International Astronautical Congress 2015: Space - The Gateway for Mankind's Future, IAC 2015 - Jerusalem, Israel Duration: Oct 12 2015 → Oct 16 2015

Other

Other	66th International Astronautical Congress 2015: Space - The Gateway for Mankind's Future, IAC 2015
Country/Territory	Israel
City	Jerusalem
Period	10/12/15 → 10/16/15

All Science Journal Classification (ASJC) codes

Space and Planetary Science
Aerospace Engineering
Astronomy and Astrophysics

Cite this

Design of sliding mode controllers for formation flying along unstable periodic orbits in CR3BP. / Nemati, Hamidreza; Bando, Mai ; Hokamoto, Shinji.

66th International Astronautical Congress 2015, IAC 2015: Space - The Gateway for Mankind's Future. Vol. 8 International Astronautical Federation, IAF, 2015. p. 5866-5879.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Nemati, H, Bando, M & Hokamoto, S 2015, Design of sliding mode controllers for formation flying along unstable periodic orbits in CR3BP. in 66th International Astronautical Congress 2015, IAC 2015: Space - The Gateway for Mankind's Future. vol. 8, International Astronautical Federation, IAF, pp. 5866-5879, 66th International Astronautical Congress 2015: Space - The Gateway for Mankind's Future, IAC 2015, Jerusalem, Israel, 10/12/15.

@inproceedings{af6001c9f6dc4333af35f0630114ce6a,

title = "Design of sliding mode controllers for formation flying along unstable periodic orbits in CR3BP",

abstract = "This paper studies a control law to stabilize the orbital motion in the vicinity of an unstable equilibrium point and periodic orbits in the circular-restricted three-body problem (CR3BP). Since the libration point orbits especially around collinear points are highly unstable, time-delay in sensor and/or acutor might cause instability. In this paper, we derive a continuous sliding mode controller (Cont. SMC) to achieve robust fuel-efficient periodic motion based upon a new Lyapunov function to smooth the control input. Then, the total velocity change is investigated to reach and maintain a halo orbit in the Sun-Earth CR3BP. Simulation results show that the proposed Cont. SMC has good performance and robustness in the presence of unmodeled time-delay.",

author = "Hamidreza Nemati and Mai Bando and Shinji Hokamoto",

year = "2015",

language = "English",

volume = "8",

pages = "5866--5879",

booktitle = "66th International Astronautical Congress 2015, IAC 2015: Space - The Gateway for Mankind's Future",

publisher = "International Astronautical Federation, IAF",

note = "66th International Astronautical Congress 2015: Space - The Gateway for Mankind's Future, IAC 2015 ; Conference date: 12-10-2015 Through 16-10-2015",

}

TY - GEN

T1 - Design of sliding mode controllers for formation flying along unstable periodic orbits in CR3BP

AU - Nemati, Hamidreza

AU - Bando, Mai

AU - Hokamoto, Shinji

PY - 2015

Y1 - 2015

N2 - This paper studies a control law to stabilize the orbital motion in the vicinity of an unstable equilibrium point and periodic orbits in the circular-restricted three-body problem (CR3BP). Since the libration point orbits especially around collinear points are highly unstable, time-delay in sensor and/or acutor might cause instability. In this paper, we derive a continuous sliding mode controller (Cont. SMC) to achieve robust fuel-efficient periodic motion based upon a new Lyapunov function to smooth the control input. Then, the total velocity change is investigated to reach and maintain a halo orbit in the Sun-Earth CR3BP. Simulation results show that the proposed Cont. SMC has good performance and robustness in the presence of unmodeled time-delay.

AB - This paper studies a control law to stabilize the orbital motion in the vicinity of an unstable equilibrium point and periodic orbits in the circular-restricted three-body problem (CR3BP). Since the libration point orbits especially around collinear points are highly unstable, time-delay in sensor and/or acutor might cause instability. In this paper, we derive a continuous sliding mode controller (Cont. SMC) to achieve robust fuel-efficient periodic motion based upon a new Lyapunov function to smooth the control input. Then, the total velocity change is investigated to reach and maintain a halo orbit in the Sun-Earth CR3BP. Simulation results show that the proposed Cont. SMC has good performance and robustness in the presence of unmodeled time-delay.

UR - http://www.scopus.com/inward/record.url?scp=84994291724&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84994291724&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:84994291724

VL - 8

SP - 5866

EP - 5879

BT - 66th International Astronautical Congress 2015, IAC 2015: Space - The Gateway for Mankind's Future

PB - International Astronautical Federation, IAF

T2 - 66th International Astronautical Congress 2015: Space - The Gateway for Mankind's Future, IAC 2015

Y2 - 12 October 2015 through 16 October 2015

ER -

Design of sliding mode controllers for formation flying along unstable periodic orbits in CR3BP

Abstract

Other

All Science Journal Classification (ASJC) codes

Other files and links

Fingerprint

Cite this