Sliding-Mode Control for Track of Swarm Behavior

  • Xuezhi Mao
  • Yong Xu
  • Jianping Liu
  • Xiaoyun Yue
Part of the Advances in Intelligent and Soft Computing book series (AINSC, volume 78)


The sliding-mode control method based on reaching law is proposed for swarm systems to eliminate chattering, which makes the agents of swarm get to an expectant trajectory and track it. This paper gives the definite control law by using the upper and lower bounds instead of uncertainties. Simulation further shows well the effectiveness.


Swarm sliding-mode control tracking control reaching law 


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  1. 1.
    Chen, S.M.: Review of the modeling and control of swarm behaviors. Computer Engineering & Science 7, 102–105 (2007)Google Scholar
  2. 2.
    Gazi, V., Passino, K.M.: Stability analysis of swarms in an environment with an attractant/repellent profile. In: Proceedings of American Control Conference, pp. 1819–1824 (2002)Google Scholar
  3. 3.
    Gazi, V., Passino, K.M.: A class of attraction/repulsion functions for stable swarm aggregations. International Journal of Control 18, 1567–1579 (2004)CrossRefMathSciNetGoogle Scholar
  4. 4.
    Gazi, V., Passino, K.M.: Stability analysis of swarms. IEEE Trans. on Automatic Control 4, 692–697 (2003)CrossRefMathSciNetGoogle Scholar
  5. 5.
    Liu, B., Chu, T.G., Wang, L., et al.: Collective motion of a class of social foraging swarms. Chaos, Solitons and Fractals 38, 277–292 (2008)zbMATHCrossRefMathSciNetGoogle Scholar
  6. 6.
    Chu, T.G., Wang, L., Chen, T.W., et al.: Complex emergent dynamics of anisotropic swarms: Convergence vs oscillation. Chaos, Solitons and Fractals 30, 875–885 (2006)zbMATHCrossRefMathSciNetGoogle Scholar
  7. 7.
    Shi, H., Wang, L., Chu, T.G.: Swarm behavior of Multi-agent systems. Journal of Control Theory and Applications 4, 301–318 (2004)MathSciNetGoogle Scholar
  8. 8.
    Chu, T.G., Wang, L., Chen, T.W.: Self-organized motion in anisotropic swarms. Journal of Control Theory and Applications 1, 77–81 (2003)CrossRefMathSciNetGoogle Scholar
  9. 9.
    Han, J., Li, M., Guo, L.: Soft control on collective behavior of a group of autonomous agents by a shill agent. Journal of Systems Science and Complexity 1, 54–62 (2006)CrossRefMathSciNetGoogle Scholar
  10. 10.
    Mao, X.Z., Xu, Y., Wang, Y.: Soft control for swarm systems based on attraction and repulsion functions. In: 2009 Second International Conference on Intelligent Networks and Intelligent Systems, pp. 4–7 (2009)Google Scholar
  11. 11.
    Gazi, V.: Swarm aggregations using artificial potentials and sliding mode control. In: Proceedings of IEEE Conference on Decision and Control, pp. 2041–2046 (2003)Google Scholar
  12. 12.
    Pan, F.C., Chen, X.B., Li, L.: Soft control of swarms system. Control and Decision 8, 953–956 (2008)Google Scholar
  13. 13.
    Cheng, D.Z., Chen, H.F.: From Swarm to Social Behavior Control. Science & Technology Review 8, 4–7 (2004)Google Scholar
  14. 14.
    Wang, Y., Ma, L.L.: The research status and prospects of variable structure control. Journal of Shenyang Institute of Aeronautical Engineering 3, 47–50 (2002)MathSciNetGoogle Scholar
  15. 15.
    Xu, Y., Chen, Z.Q., Yuan, Z.Z.: Global sliding-mode variable structure control for delta operator formulated systems. Control and Decision 6, 686–688, 693 (2005)Google Scholar
  16. 16.
    Gao, W.B.: Theory and Design Method for Variable Structure Control. Science Press, Beijing (1996)Google Scholar
  17. 17.
    Slotine, J.E., Li, W., Cheng, D.Z.: Applied Nonlinear Control. China Machine Press, Beijing (2006) (translation)Google Scholar
  18. 18.
    Xue, D.Y.: Computer Aided Control Systems Design Using MATLAB Language, 2nd edn. Tsinghua University Press, Beijing (2006)Google Scholar
  19. 19.
    Liu, J.K.: MATLAB Simulation for Sliding Mode Control. Tsinghua University Press, Beijing (2005)Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  • Xuezhi Mao
    • 1
    • 2
  • Yong Xu
    • 2
  • Jianping Liu
    • 1
  • Xiaoyun Yue
    • 1
  1. 1.College of Mathematics and Information Technology, Institute of Mathematics and Systems ScienceHebei Normal University of Science and TechnologyHebei QinhuangdaoChina
  2. 2.School of ScienceHebei University of TechnologyTianjinChina

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