Advertisement

Dynamical Synchronous Control of Chaos Motor Systems in Complex Network with Small-World Topology

  • Zhaoyun GengEmail author
  • Yuan Gao
  • Ning Zhao
Part of the Advances in Intelligent and Soft Computing book series (AINSC, volume 133)

Abstract

Identical permanent magnet synchronous motor (PMSM) systems, with chaotic characteristics, are selected as nodes to construct a linearly coupled small-world dynamical network. The synchronous control for coupled PMSM network is studied. Synchronous condition of pinning control linearly coupled network is deducted, and the status equations of pinned network is presented to realize synchronous control of PMSM network. Controller is applied to adjust the direct- and quadrature-axis stator voltage. Simulation results show that complex dynamical network with the small-world model can be synchronous controlled to the equilibrium point via a few linear feedback controllers. In contrast with the nearest-neighbor coupled network, synchronous control of the motor network with the small-world topology is adjustable, highly efficient and low cost. The research results provide a important way for experimental study and the engineering design of motor network to improve synchronous control performance and lessen cost.

Keywords

permanent magnet synchronous motor small-world network synchronous control non-smooth-air-gap 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Chen, J.H., Chau, K.T., Chan, C.C.: Chaos in Voltage-Mode Controlled Dc Drive System. Int. J. Electr. 86, 857–874 (1999)CrossRefGoogle Scholar
  2. 2.
    Zhu, J.J., Chang, Y., Chen, G.R.: Complex dynamics in permanent-magnet synchronous motors model. Chaos, Solitons and Fractals 22, 831–848 (2004)MathSciNetCrossRefGoogle Scholar
  3. 3.
    Wei, D.Q., Luo, X.S., Wang, B.H., Fang, J.Q.: Robust adaptive dynamic surface control of chaos in permanent magnet synchronous motor. Phys. Lett. A 363, 71–77 (2007)CrossRefGoogle Scholar
  4. 4.
    Zhang, Q.L., Qiu, Z.Z.: Network control system. Science Press, Beijing (2007)Google Scholar
  5. 5.
    Strogatz, S.H.: Exploring complex network. Nature 410, 268–276 (2001)CrossRefGoogle Scholar
  6. 6.
    Watts, D.J., Strogatz, S.H.: Collective Dynamics of Small-World network. Nature (London), 393–440 (1998)Google Scholar
  7. 7.
    Barabasi, A.-L., Albert, R.: Emergence of Scaling in Random network. Science 286, 509–512 (1999)MathSciNetCrossRefGoogle Scholar
  8. 8.
    Albert, R., Barabasi, A.: Statistical Mechanics of Complex network. Reviews of Modern Physics 74, 47–97 (2002)MathSciNetzbMATHCrossRefGoogle Scholar
  9. 9.
    Wang, X.F., Chen, G.: Pinning control of scale-free dynamical network. Physica A 310, 521–531 (2002)MathSciNetzbMATHCrossRefGoogle Scholar
  10. 10.
    Li, X., Wang, X.F., Chen, G.: Pinning a complex dynamical network to its equilibrium. IEEE Transactions on Circuits and Systems-I 51, 2074–2087 (2004)MathSciNetCrossRefGoogle Scholar
  11. 11.
    Yang, Z.Q., Liu, Z.L., Chen, Z.Q., et al.: Controlled synchronization of complex network with different kinds of nodes. J. Control Theory Appl. 6, 11–15 (2008)MathSciNetzbMATHCrossRefGoogle Scholar
  12. 12.
    Wang, X.F., Chen, G.: Synchronization in Scale-Free Dynamical network: Robustness and Fragility. IEEE Transactions on Circuits and Systems I 49, 54–66 (2002)CrossRefGoogle Scholar

Copyright information

© Springer-Verlag GmbH Berlin Heidelberg 2012

Authors and Affiliations

  1. 1.Dept. of Electronic Information and Control EngineeringGuangXi University of TechnologyLiuzhouChina

Personalised recommendations