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	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

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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.

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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.",

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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.

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Y2 - 12 October 2015 through 16 October 2015

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

Abstract

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All Science Journal Classification (ASJC) codes

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