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Distributed Finite-Time Coordination Control for 6DOF Spacecraft Formation Using Nonsingular Terminal Sliding Mode

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Proceedings of the 2015 Chinese Intelligent Systems Conference

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE))

Abstract

This paper is devoted to the finite-time coordination control problem of 6DOF spacecraft formation with directed networks in the presence of external disturbances, and a distributed control algorithm using nonsingular terminal sliding mode (NTSM) is proposed. Based on Lyapunov methods, it is proved that all the spacecrafts achieve formation flying in finite time, which means the states of all the followers simultaneously converge to the states of the virtual leader. Simulation results are provided to validate the effectiveness of the theoretical analysis.

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References

  1. Zhang Y, Zeng G, Wang Z et al (2008) Thoery and application of distributed satellite system. Sience Press, Beijing (in Chinese)

    Google Scholar 

  2. Scharf D, Hadaegh F, Ploen S (2004) A survey of spacecraft formation flying guidance and control (Part II). In: American Control Conference, pp 2976–2985

    Google Scholar 

  3. Kapila V, Sparks A, Buffington J et al (2000) Spacecraft formation flying: dynamics and control. J Guidance Control Dyn 23(3):561–564

    Article  Google Scholar 

  4. De Queiroz M, Kapila V, Yan Q (2000) Adaptive nonlinear control of multiple spacecraft formation flying. J Guidance Control Dyn 23(3):385–390

    Article  Google Scholar 

  5. Li S, Du H, Shi P (2014) Distributed attitude control for multiple spacecraft with communication delays. IEEE Trans Aerosp Electron Syst 50(3):1765–1773

    Article  Google Scholar 

  6. Zhao L, Jia Y (2014) Decentralized adaptive attitude synchronization control for spacecraft formation using nonsingular fast terminal sliding mode. Nonlinear Dyn 78(4):2279–2294

    Article  MATH  Google Scholar 

  7. Kristiansen R, Nicklasson P, Gravdahl J (2007) Formation modelling and 6DOF spacecraft coordination control. In: American Control Conference, pp 4690–4696

    Google Scholar 

  8. Chung S, Ahsun U, Slotine J (2009) Application of synchronization to formation flying spacecraft: lagrangian approach. J Guidance Control Dyn 32(2):512–526

    Article  Google Scholar 

  9. Min H, Sun F, Wang S et al (2010) Distributed 6DOF coordination control of spacecraft formation with coupling time delay. In: IEEE International Symposium on Intelligent Control, pp 2403–2408

    Google Scholar 

  10. Zhao L, Jia Y (2015) Finite-time attitude tracking control for a rigid spacecraft using time-varying terminal sliding mode techniques. Int J Control 88(6):1150–1162

    Article  MathSciNet  MATH  Google Scholar 

  11. Li S, Du H, Lin X (2011) Finite-time consensus algorithm for multi-agent systems with double-integrator dynamics. Automatica 47(8):1706–1712

    Article  MathSciNet  MATH  Google Scholar 

  12. Hu J, Feng G (2010) Distributed tracking control of leader-follower multi-agent systems under noisy measurement. Automatica 46(8):1382–1387

    Article  MathSciNet  MATH  Google Scholar 

  13. Hardy G, Littlewood J, Polya G (2004) Inequalities, 2nd edn. Beijing World Publishing Corporation, Beijing

    MATH  Google Scholar 

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Acknowledgements

This work was supported by the National Basic Research Program of China (973 Program: 2012CB821200, 2012CB821201) and the NSFC (61134005, 61221061, 61327807).

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Correspondence to Fangya Gao .

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Gao, F., Jia, Y. (2016). Distributed Finite-Time Coordination Control for 6DOF Spacecraft Formation Using Nonsingular Terminal Sliding Mode. In: Jia, Y., Du, J., Li, H., Zhang, W. (eds) Proceedings of the 2015 Chinese Intelligent Systems Conference. Lecture Notes in Electrical Engineering. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-48386-2_21

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  • DOI: https://doi.org/10.1007/978-3-662-48386-2_21

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-48384-8

  • Online ISBN: 978-3-662-48386-2

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