Chaos control with unknown parameter of attitude motion of perturbed spacecraft

Jia Fei-Lei; Xu Wei; Li Heng-Nian; Hou Li-Qiang

doi:10.7498/aps.62.100503

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Abstract

The Euler's dynamical equation which describes the attitude motion of a perturbed rigid spacecraft is studied. A series of chaos systems is found from Euler's dynamical equation by selecting different parameter matrixes of perturbed torque. Based on the Lyapunov function, adaptive controller is designed such that the chaos control of unknown parameters of this system is accomplished, the state variables go to any appointed equilibrium points, and the unknown parameters are estimated simultaneously. Finally, the Newton-Leipnik system as an example is considered here to demonstrate the proposing technique. Simulation results show the feasibility and efficiency of this method.

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Authors and contacts

1.
State Key Laboratory of Astronautic Dynamics, Xi’an 710043, China;
2.
Xi'an Satellite Control Center, Xi'an 710043, China;
3.
Northwestern Polytechnical University, School of Science, Xi'an 710072, China

References

[1]	Ott E, Grebogi C, Yorke J A 1999 Phys. Rev. Lett. 64 1179
[2]	Sun J T 2004 Math. Comput. Simulat. 64 669
[3]	Yu H J, Liu Y Z, Peng J H 2004 Phys. Rev. E 69 066203
[4]	Hwang C, Chow H, Wang Y 1996 Physica D 92 65
[5]	Peng C C, Chen C L 2008 Chaos, Solitons and Fractals 37 598
[6]	Leipnik R B, Newton T A 1981 Phys. Lett. A 86 63
[7]	Zhou F Q, Kong L Y 2007 J. Astronaut. 28 1515 (in Chinese) [周凤岐, 孔令云 2007 宇航学报 28 1515]
[8]	Chen L Q, Liu Y Z 1998 Acta Mech. Sin. 30 363 (in Chinese) [陈立群, 刘延柱 1998 力学学报 30 363]
[9]	Zhou F Q, Kong L Y 2007 Acta Aeronaut. Astronaut. Sin. 28 1443 (in Chinese) [周凤岐, 孔令云 2007 航空学报 28 1443]

Cited By

[1]	Ott E, Grebogi C, Yorke J A 1999 Phys. Rev. Lett. 64 1179
[2]	Sun J T 2004 Math. Comput. Simulat. 64 669
[3]	Yu H J, Liu Y Z, Peng J H 2004 Phys. Rev. E 69 066203
[4]	Hwang C, Chow H, Wang Y 1996 Physica D 92 65
[5]	Peng C C, Chen C L 2008 Chaos, Solitons and Fractals 37 598
[6]	Leipnik R B, Newton T A 1981 Phys. Lett. A 86 63
[7]	Zhou F Q, Kong L Y 2007 J. Astronaut. 28 1515 (in Chinese) [周凤岐, 孔令云 2007 宇航学报 28 1515]
[8]	Chen L Q, Liu Y Z 1998 Acta Mech. Sin. 30 363 (in Chinese) [陈立群, 刘延柱 1998 力学学报 30 363]
[9]	Zhou F Q, Kong L Y 2007 Acta Aeronaut. Astronaut. Sin. 28 1443 (in Chinese) [周凤岐, 孔令云 2007 航空学报 28 1443]

Catalog

Vol. 62, Issue 10 - 2013-05-20

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