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Distributed Fixed-time Attitude Synchronization Control for Multiple Rigid Spacecraft

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  • Control Theory and Applications
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Abstract

This paper investigates the distributed fixed-time attitude synchronization control problem for multiple rigid spacecraft system with external disturbances. Based on sliding-mode estimators, the authors remove the requirement of neighbours’ input control information. Using the fixed-time-based terminal sliding mode, the distributed adaptive control laws are developed to guarantee the attitude tracking errors converge to the regions in fixed time independent of initial conditions, and adaptive laws are employed to deal with external disturbances. Finally, numerical simulations are presented to illustrate the performance of the proposed controllers.

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References

  1. J. Y. Tien, J. M. Srinivasan, L. E. Young, and G. H. Purcell, “Formation acquisition sensor for the terrestrial planet Ander (TPF) mission,” Proc. of the 2004 IEEE Aerospace Conference, pp. 2680–2690, 2004.

    Google Scholar 

  2. W. H. Kang and H. Yen, “Coordinated attitude control of multisatellite systems,” International Journal of Robust and Nonlinear Control, vol. 12, pp. 185–205, 2002.

    Article  Google Scholar 

  3. D. V. Dimarogonas, P. Tsiotras, and K. J. Kyriakopoulos, “Leader-follower cooperative attitude control of multiple rigid bodies,” Systems & Control Letters, vol. 58, no. 6, pp. 429–435, June 2009.

    Article  MathSciNet  MATH  Google Scholar 

  4. A. Abdessameud and A. Tayebi, “Attitude synchronization of a group of spacecraft without velocity measurements,” IEEE Trans, on Automatic Control, vol. 54, no. 11, pp. 2642–2648, November 2009.

    Article  MathSciNet  MATH  Google Scholar 

  5. A. M. Zou, K. D. Kumar, and Z. G. Hou, “Attitude coordination control for a group of spacecraft without velocity measurements,” IEEE Trans, on Control Systems Technology, vol. 20, no. 5, pp. 1160–1174, September 2012.

    Article  Google Scholar 

  6. A. Abdessameud, A. Tayebi, and I. G. Polushin, “Attitude synchronization of multiple rigid bodies with communication delays,” IEEE Trans, on Automatic Control, vol. 57, no. 9, pp. 2405–2411, September 2012.

    Article  MathSciNet  MATH  Google Scholar 

  7. A. M. Zou and K. D. Kumar, “Neural network-based distributed attitude coordination control for spacecraft formation flying with input saturation,” IEEE Trans, on Neural Networks and Learning Systems, vol. 23, no. 7, pp. 1155–1162, July 2012.

    Article  Google Scholar 

  8. Z. Zhu, Y. Xia, and M. Fu, “Attitude stabilization of rigid spacecraft with finite-time convergence,” International Journal of Robust and Nonlinear Control, vol. 21, no. 6, pp. 686–702, April 2011.

    Article  MathSciNet  MATH  Google Scholar 

  9. K. Lu and Y. Xia, “Adaptive attitude tracking control for rigid spacecraft with finite-time convergence,” Automatica, vol. 49, no. 12, pp. 3591–3599, December 2013.

    Article  MathSciNet  MATH  Google Scholar 

  10. E. D. Jin and Z. W. Sun, “Robust controllers design with finite time convergence for rigid spacecraft attitude tracking control,” Aerospace Science and Technology, vol. 12, no. 4, pp. 324–330, June 2008.

    Article  MATH  Google Scholar 

  11. H. Liang, Z. Sun, and J. Wang, “Finite-time attitude synchronization controllers design for spacecraft formations via behavior-based approach,” Proceedings of the Institution of Mechanical Engineers Part G: Journal of Aerospace Engineering, vol. 227, no. 11, pp. 1737–1753, November 2013.

    Article  Google Scholar 

  12. H. Liang, Z. Sun, and J. Wang, “Robust decentralized attitude control of spacecraft formations under time-varying topologies, model uncertainties and disturbances,” Acta Astronautica, vol. 81, no. 2, pp. 445–455, December 2012.

    Article  Google Scholar 

  13. X. Yu and Z. Man, “Fast terminal sliding-mode control design for nonlinear dynamical systems,” IEEE Trans, on Circuits and Systems I, vol. 49, no. 2, pp. 261–264, February 2002.

    Article  MathSciNet  MATH  Google Scholar 

  14. A. M. Zou and K. Kumar, “Distributed attitude coordination control for spacecraft formation flying,” IEEE Trans, on Aerospace Electronic Systems, vol. 48, no. 2, pp. 1329–1346, April 2012.

    Article  Google Scholar 

  15. L. Yang and J. Y. Yang, “Nonsingular fast terminal slidingmode control for nonlinear dynamical systems,” International Journal of Robust and Nonlinear Control, vol. 21, no. 16, pp. 1865–1879, November 2011.

    Article  MathSciNet  MATH  Google Scholar 

  16. S. H. Yu, X. H. Yu, B. Shirinzadeh, and Z. H. Man, “Continuous finite-time control for robotic manipulators with terminal sliding mode,” Automatica, vol. 41, no. 11, pp. 1957–1964, November 2005.

    Article  MathSciNet  MATH  Google Scholar 

  17. L. Zhao and Y. M. Jia, “Decentralized adaptive attitude synchronization control for spacecraft formation using nonsingular fast terminal sliding mode,” Nonlinear Dynamics, vol. 78, no. 4, pp. 2779–2794, December 2014.

    Article  MATH  Google Scholar 

  18. A. Polyakov, “Nonlinear feedback design for fixed-time stabilization of linear control systems,” IEEE Trans, on Automatic Control, vol. 57, no. 8, pp. 2106–2110, August 2012.

    Article  MathSciNet  MATH  Google Scholar 

  19. L. Ma, S. Wang, H. Min, Y. Liu, and S. Liao, “Distributed finite-time attitude dynamic tracking control for multiple rigid spacecraft,” IET Control Theory & Applications, vol. 9, no. 17, pp. 2568–2573, November 2015.

    Article  MathSciNet  Google Scholar 

  20. P. C. Huges, Spacecraft Attitude Dynamics, Wiley, Hoboken, 1986.

    Google Scholar 

  21. H. Schaub, M. R. Akella, and J. L. Junkins, “Adaptive control of nonlinear attitude motions realizing linear closed loop dynamics,” Journal of Guidance Control and Dynamics, vol. 24, no. 1, pp. 95–100, January-February 2001.

    Article  Google Scholar 

  22. J. J. E. Slotine and M. D. D. Benedetto, “Hamiltonian adaptive control of spacecraft,” IEEE Trans, on Automatic Control, vol. 35, no. 7, pp. 848–852, July 1990.

    Article  MathSciNet  MATH  Google Scholar 

  23. A. F. Filippov, Differential Equations with Discontinuous Right-Hand Sides, Kluwer Academic, New York, 1988.

    Book  MATH  Google Scholar 

  24. C. Song, S. J. Kim, S. H. Kim, and H. S. Nam, “Robust control of the missile attitude based on quaternion feedback,” Control Engineering Practice, vol. 14, no. 7, pp. 811–818, July 2006.

    Article  Google Scholar 

  25. Z. Y. Zuo and L. Tie, “A new class of finite-time nonlinear consensus protocols for multi-agent systems,” International Journal of Control, vol. 87, no. 2, pp. 363–370, February 2014.

    Article  MathSciNet  MATH  Google Scholar 

  26. Z. Y. Zuo, “Non-singular fixed-time terminal sliding mode control of non-linear systems,” IET Control Theory & Applications, vol. 9, no. 4, pp. 545–552, February 2015.

    Article  MathSciNet  Google Scholar 

  27. S. Parsegov, A. Polyakov, and P. Shcherbakov, “Nonlinear fixed-time control protocol for uniform allocation of agents on a segment,” Proc. of the 51st Conf. Decision and Control, pp. 7732–7737, 2012.

    Google Scholar 

  28. K. F. Lu and Y. Q. Xia, “Finite-time attitude stabilization for rigid spacecraft,” International Journal of Robust and Nonlinear Control, vol. 25, no. 1, pp. 32–51, January 2015.

    MathSciNet  MATH  Google Scholar 

  29. M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions: with Formulas, Graphs, and Mathematical Tables, Dover, New York, 1972.

    MATH  Google Scholar 

  30. J. J. Fu and J. Z. Wang, “Fixed-time coordinated tracking for second-order multi-agent systems with bounded input uncertainties,” Systems & Control Letters, vol. 93, pp. 1–12, July 2016.

    Article  MathSciNet  MATH  Google Scholar 

  31. S. Y. Khoo, L. H. Xie, and Z. H. Man, “Robust finite-time consensus tracking algorithm for multirobot systems,” IEEE Trans, on Mechatronics, vol. 14, no. 2, pp. 219–228, April 2009.

    Article  Google Scholar 

  32. W. Ren, “Distributed attitude alignment in spacecraft formation flying,” International Journal of Adaptive Control and Signal Processing, vol. 21, no. 2–3, pp. 95–113, March-April 2007.

    Article  MathSciNet  MATH  Google Scholar 

  33. J. K. Zhou, Q. L. Hu, and M. I. Friswell, “Decentralized finite time attitude synchronization control of satellite formation flying,” Journal of Guidance Control and Dynamics, vol. 36, no. 1, pp. 185–195, January-February 2015.

    Article  Google Scholar 

  34. H. B. Du and S. H. Li, “Finite-time attitude stabilization for a spacecraft using homogeneous method,” Journal of Guidance Control and Dynamics, vol. 35, no. 3, pp. 740–748, May-June 2012.

    Article  Google Scholar 

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Authors and Affiliations

  1. Center for Control Theory and Guidance Technology, Harbin Institute of Technology, 2 Yi Kuang Street, Nan Gang District, Harbin, 150001, China

    Wei-Shun Sui, Guang-Ren Duan, Ming-Zhe Hou & Mao-Rui Zhang

Authors
  1. Wei-Shun Sui
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  2. Guang-Ren Duan
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  3. Ming-Zhe Hou
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  4. Mao-Rui Zhang
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Corresponding author

Correspondence to Wei-Shun Sui.

Additional information

Recommended by Associate Editor Chang Kyung Ryoo under the direction of Editor Duk-Sun Shim. This paper was supported by the Major Program of National Natural Science Foundation of China under Grant Numbers 61690210 and 61690212; the National Natural Science Foundation of China 61333003; the Self-Planned Task (NO.SKLRS201716A) of State Key Laboratory of Robotics and System (HIT).

Wei-Shun Sui received his B.S. degree in Electrical Engineering from Northeast Forestry University in 2012. Currently, he is a Ph.D. student in the School of Astronautics at Harbin Institute of Technology. His research interests include spacecraft coordination control, adaptive control, and sliding-mode control.

Guang-Ren Duan received his Ph.D. degree in control systems theory in 1989 from Harbin Institute of Technology, China. From 1989 to 1991, he was a postdoctoral researcher at Harbin Institute of Technology, where he became a professor of control systems theory in 1991. He visited the University of Hull, UK, and the University of Sheffield, UK from December 1996 to October 1998 and worked at the Queen’s University of Belfast, UK from October 1998 to October 2002. Since August 2000, he has been elected as specially employed professor at Harbin Institute of Technology sponsored by the Cheung Kong Scholars Program of the Chinese government. He is currently the director of the Center for Control Theory and Guidance Technology at Harbin Institute of Technology. He is a chartered engineer in the UK, a senior member of IEEE and a fellow of IEE. His research interests include robust control, eigenstructure assignment, descriptor systems, missile autopilot design, and spacecraft control.

Ming-Zhe Hou received his B.S. and Ph.D. degrees in Control Science and Engineering from Harbin Institute of Technology, in 2005 and 2011, respectively. Since 2017, he has become an associate professor at Harbin Institute of Technology. His research interests include nonlinear filtering and control, aircraft guidance and control.

Mao-Rui Zhang received his Ph.D. degree in Control Theory and Application from Harbin Institute of Technology, China, 1998. He carried out postdoctoral research at Israel Institute of Technology from 2005 to 2007. He is currently a professor at the School of Astronautics, Harbin Institute of Technology. His main research interests are optimal control, time-delay control and special electro-hydraulic servo system control.

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Sui, WS., Duan, GR., Hou, MZ. et al. Distributed Fixed-time Attitude Synchronization Control for Multiple Rigid Spacecraft. Int. J. Control Autom. Syst. 17, 1117–1130 (2019). https://doi.org/10.1007/s12555-017-0717-7

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  • DOI: https://doi.org/10.1007/s12555-017-0717-7

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