State estimation for coupled output discrete-time complex network with stochastic measurements and different inner coupling matrices

Regular Papers Control Theory

Abstract

A state estimation problem is studied for a class of coupled outputs discrete-time networks with stochastic measurements, i.e., the measurements are missing and disturbed with stochastic noise. The considered networks are coupled with outputs rather than states, are coupled with different inner coupling matrices rather than identical inner ones. By using Lyapunov stability theory combined with stochastic analysis, a novel state estimation scheme is proposed to estimate the states of discrete-time complex networks through the available output measurements, where the measurements are stochastic missing and are disturbed with Brownian motions which are caused by data transmission among nodes due to communication unreliability. State estimation conditions are derived in terms of linear matrix inequalities (LMIs). A numerical example is provided to demonstrate the validity of the proposed scheme.

Keywords

Complex networks coupled output disturbance missing measurements state estimation 

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References

  1. [1]
    X.-F. Wang and G. Chen, “Synchronization in small-world dynamical networks,” International Journal of Bifurcation and Chaos, vol. 12, no. 1, pp. 187–192, 2002.CrossRefGoogle Scholar
  2. [2]
    A. L. P. Y. Piontti, P. A. Macri, and L. A. Braunstein, “Discrete surface growth process as a synchronization mechanism for scale-free complex networks,” Physical Review E, vol. 76, no. 4, p. 046117, 2007.CrossRefGoogle Scholar
  3. [3]
    Y. Tang and J. A. Fang, “Synchronization of Taka gi-Sugeno fuzzy stochastic delayed complex networks with hybrid coupling,” Modern Physics Letters B, vol. 23, no. 20–21, pp. 2429–2447, 2009.MathSciNetMATHCrossRefGoogle Scholar
  4. [4]
    L. Chen, L. Wu, and S. Zhu, “Synchronization in complex networks by time-varying couplings,” European Physical Journal D, vol. 48, no. 3, pp. 405–409, 2008.CrossRefGoogle Scholar
  5. [5]
    N. Mahdavi and M. B. Menhaj, “A new set of sufficient conditions based on coupling parameters for synchronization of Hopfield chaotic neural networks,” International Journal of Control, Automation, and Systems, vol. 9, no. 1, pp. 104–111, 2011.CrossRefGoogle Scholar
  6. [6]
    M. Chavez, D. U. Hwang, and S. Boccaletti, “Synchronization processes in complex networks,” European Physical Journal-Special Topics, vol. 146, pp. 129–144, 2007.CrossRefGoogle Scholar
  7. [7]
    T. Li, T. Wang, A.-G. Song, and S.-M. Fei, “Exponential synchronization for arrays of coupled neural networks with time-delayed couplings,” International Journal of Control, Automation, and Systems, vol. 9, no. 1, pp. 187–196, 2011.MathSciNetCrossRefGoogle Scholar
  8. [8]
    M. Y. Chen, “Some simple synchronization criteria for complex dynamical networks,” IEEE Trans. on Circuits and Systems Ii-Express Briefs, vol. 53, no. 11, pp. 1185–1189, 2006.CrossRefGoogle Scholar
  9. [9]
    Y. Dai, Y. Z. Cai, and X. M. Xu, “Synchronization criteria for complex dynamical networks with neutral-type coupling delay,” Physica A-Statistical Mechanics and Its Applications, vol. 387, no. 18, pp. 4673–4682, 2008.CrossRefGoogle Scholar
  10. [10]
    Y. Liu, Z. Wang, J. Liang, and X. Liu, “Synchronization and state estimation for discrete-time complex networks with distributed delays,” IEEE Trans. on Systems, Man and Cybernetics — Part B: Cybernetics, vol. 38, no. 5, pp. 1314–1324, 2008.MathSciNetCrossRefGoogle Scholar
  11. [11]
    J. Liang, Z. Wang, and X. Liu, “State estimation for coupled uncertain stochastic networks with missing measurements and time-varying delays: the discrete-time case,” IEEE Trans. on Neural Networks, vol. 20, no. 5, pp. 781–793, 2009.CrossRefGoogle Scholar
  12. [12]
    G. J. Wang, J. D. Cao, and J. Q. Lu, “Outer synchronization between two nonidentical networks with circumstance noise,” Physica A-Statistical Mechanics and Its Applications, vol. 389, no. 7, pp. 1480–1488.Google Scholar
  13. [13]
    X. Q. Wu, W. X. Zheng, and J. Zhou, “Generalized outer synchronization between complex dynamical networks,” Chaos, vol. 19, no. 1, p. 013109, 2009.Google Scholar
  14. [14]
    G. P. Jiang, W. K. S. Tang, and G. R. Chen, “A state-observer-based approach for synchronization in complex dynamical networks,” IEEE Trans. on Circuits and Systems I-Regular Papers, vol. 53, no. 12, pp. 2739–2745, 2006.MathSciNetCrossRefGoogle Scholar
  15. [15]
    C.-X. Fan, G.-P. Jiang, and F.-H. Jiang, “Synchronization between two complex dynamical networks using scalar signals under pinning control,” IEEE Trans. on Circuits and Systems -I: Regular Papers, vol. 57, no. 11, pp. 2991–2998, 2010.MathSciNetCrossRefGoogle Scholar
  16. [16]
    A. Alessandri, C. Cervellera, D. Maccio, and M. Sanguineti, “Optimization based on quasi-Monte Carlo sampling to design state estimators for nonlinear systems,” Optimization, vol. 59, no. 7, pp. 963–984, 2010.MathSciNetMATHCrossRefGoogle Scholar
  17. [17]
    M. Mojiri, D. Yazdani, and A. Bakhshai, “Robust adaptive frequency estimation of three-phase power systems,” IEEE Trans. on Instrumentation and Measurement, vol. 59, no. 7, pp. 1793–1802, 2010.CrossRefGoogle Scholar
  18. [18]
    D. Kang and K. Lansey, “Real-time demand estimation and confidence limit analysis for water distribution systems,” Journal of Hydraulic Engineering-Asce, vol. 135, no. 10, pp. 825–837, 2009.CrossRefGoogle Scholar
  19. [19]
    C. Lin, Z. D. Wang, and F. W. Yang, “Observerbased networked control for continuous-time systems with random sensor delays,” Automatica, vol. 45, no. 2, pp. 578–584, 2009.MathSciNetMATHCrossRefGoogle Scholar
  20. [20]
    F. W. Yang, W. Wang, V. G. Niu, and V. M. Li, “Observer-Based H-infinity control for networked systems with consecutive packet delays and losses,” International Journal of Control Automation and Systems, vol. 8, no. 4, pp. 769–775, 2010.CrossRefGoogle Scholar
  21. [21]
    S. Boyd, L. E. Ghaoui, E. Feron, and V. Balakrishnan, Eds., Linear Matrix Inequalities in System and Control Theory, Society for Industrial and Applied Mathematics, Philadelphia, 1994.MATHGoogle Scholar

Copyright information

© Institute of Control, Robotics and Systems and The Korean Institute of Electrical Engineers and Springer-Verlag Berlin Heidelberg  2012

Authors and Affiliations

  1. 1.College of AutomationNanjing University of Posts & TelecommunicationsNanjingChina
  2. 2.the Centre for Intelligent and Networked SystemsCentral Queensland UniversityRockhamptonAustralia
  3. 3.the School of Information Science and EngineeringEast China University of Science and TechnologyShanghaiChina

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