Higher order sliding mode control of formation flying satellites with J2 perturbation

Yafei Li; Xiangdong Liu; Yuzhi Xiao

Higher order sliding mode control of formation flying satellites with J₂ perturbation

Yafei Li, Xiangdong Liu, Yuzhi Xiao

School of Automation

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

Abstract

It is very important to design the relative orbital controller which is robust to the J₂ perturbation and other bounded disturbances for the formation flying satellites. The relative motion with J₂ perturbation and other bounded disturbances is firstly modeled accurately, and the description is not only applicable to the circular reference orbit, but also to the elliptical reference orbit. Then, a higher order sliding mode controller is presented for the relative motion, which is based on the free variable transformation, Lyapunov transformation and the analysis of the boundedness of some J₂ perturbation terms, and the convergences of the position error and velocity error for the formation are derived. Simulation results demonstrate the effectiveness of the method.

Original language	English
Title of host publication	Proceedings of the 32nd Chinese Control Conference, CCC 2013
Publisher	IEEE Computer Society
Pages	643-648
Number of pages	6
ISBN (Print)	9789881563835
Publication status	Published - 18 Oct 2013
Event	32nd Chinese Control Conference, CCC 2013 - Xi'an, China Duration: 26 Jul 2013 → 28 Jul 2013

Publication series

Name	Chinese Control Conference, CCC
ISSN (Print)	1934-1768
ISSN (Electronic)	2161-2927

Conference

Conference	32nd Chinese Control Conference, CCC 2013
Country/Territory	China
City	Xi'an
Period	26/07/13 → 28/07/13

Keywords

Higher Oder Sliding Mode Control
Relative Motion

Cite this

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title = "Higher order sliding mode control of formation flying satellites with J2 perturbation",

abstract = "It is very important to design the relative orbital controller which is robust to the J2 perturbation and other bounded disturbances for the formation flying satellites. The relative motion with J2 perturbation and other bounded disturbances is firstly modeled accurately, and the description is not only applicable to the circular reference orbit, but also to the elliptical reference orbit. Then, a higher order sliding mode controller is presented for the relative motion, which is based on the free variable transformation, Lyapunov transformation and the analysis of the boundedness of some J2 perturbation terms, and the convergences of the position error and velocity error for the formation are derived. Simulation results demonstrate the effectiveness of the method.",

keywords = "Higher Oder Sliding Mode Control, Relative Motion",

author = "Yafei Li and Xiangdong Liu and Yuzhi Xiao",

year = "2013",

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language = "English",

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address = "United States",

note = "32nd Chinese Control Conference, CCC 2013 ; Conference date: 26-07-2013 Through 28-07-2013",

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Higher order sliding mode control of formation flying satellites with J₂ perturbation. / Li, Yafei; Liu, Xiangdong; Xiao, Yuzhi.
Proceedings of the 32nd Chinese Control Conference, CCC 2013. IEEE Computer Society, 2013. p. 643-648 6639509 (Chinese Control Conference, CCC).

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

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T1 - Higher order sliding mode control of formation flying satellites with J2 perturbation

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AU - Liu, Xiangdong

AU - Xiao, Yuzhi

PY - 2013/10/18

Y1 - 2013/10/18

N2 - It is very important to design the relative orbital controller which is robust to the J2 perturbation and other bounded disturbances for the formation flying satellites. The relative motion with J2 perturbation and other bounded disturbances is firstly modeled accurately, and the description is not only applicable to the circular reference orbit, but also to the elliptical reference orbit. Then, a higher order sliding mode controller is presented for the relative motion, which is based on the free variable transformation, Lyapunov transformation and the analysis of the boundedness of some J2 perturbation terms, and the convergences of the position error and velocity error for the formation are derived. Simulation results demonstrate the effectiveness of the method.

AB - It is very important to design the relative orbital controller which is robust to the J2 perturbation and other bounded disturbances for the formation flying satellites. The relative motion with J2 perturbation and other bounded disturbances is firstly modeled accurately, and the description is not only applicable to the circular reference orbit, but also to the elliptical reference orbit. Then, a higher order sliding mode controller is presented for the relative motion, which is based on the free variable transformation, Lyapunov transformation and the analysis of the boundedness of some J2 perturbation terms, and the convergences of the position error and velocity error for the formation are derived. Simulation results demonstrate the effectiveness of the method.

KW - Higher Oder Sliding Mode Control

KW - Relative Motion

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