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A robust H control approach for a class of networked control systems with sampling jitter and packet-dropout

  • Control Theory
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Abstract

This paper is concerned with the robust H control problem for a class of networked control systems (NCSs) with sampling jitter, short time-varying delays and packet-dropouts. By considering state feedback controller, the close-loop NCS is described as a discrete-time linear switched system model with uncertainties. Based on the linear matrix inequality (LMI) approach, a robust H condition is proposed to solve the H stability and stabilization problems for the considered NCS. An illustrative example is provided to demonstrate the effectiveness of the proposed theoretical results.

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References

  1. D. C. Ding, “Stabilization of linear systems over networks with bounded packet loss and its use in model predictive control,” Automatica, vol. 47, no. 11, pp. 2526–2533, 2011.

    Article  MATH  MathSciNet  Google Scholar 

  2. D. Yue, Q. L. Han, and C. Peng, “State feedback controller design of networked control systems,” Proc. of the IEEE International Conference on Control Applications, pp. 242–247, 2004.

    Google Scholar 

  3. W. A. Zhang and L. Yu, “A robust control approach to stabilization of networked control systems with short time-varying delays,” Acta Automatica Sinica, vol. 36, no. 1, pp. 87–91, 2010.

    Article  MATH  MathSciNet  Google Scholar 

  4. R. Luck and A. Ray, “An observer-based compensator for distributed delays,” Automatica, vol. 26, no. 5, pp. 903–908, 1990.

    Article  MATH  Google Scholar 

  5. S. S. Hu and Q. X. Zhu, “Stochastic optimal control and analysis of stability of networked control systems with long delay,” Automatica, vol. 39, no. 11, pp. 1877–1884, 2003.

    Article  MATH  MathSciNet  Google Scholar 

  6. P. L. Tang and C.W. de Silva, “Compensation for transmission delays in an ethernet-based control network using variable-horizon predictive control,” IEEE Trans. on Control Systems Technology, vol. 14, no. 4, pp. 707–718, 2006.

    Article  Google Scholar 

  7. H. J. Gao, T. W. Chen, and J. Lam, “A new delay system approach to network-based control,” Automatica, vol. 44, no. 1, pp. 39–52, 2008.

    Article  MATH  MathSciNet  Google Scholar 

  8. Y. Song and M. Fei, “Robust H8 control of discrete switched system with time delay,” Applied Mathematics and Computation, vol. 205, no. 1, pp. 159–169, 2008.

    Article  MATH  MathSciNet  Google Scholar 

  9. S. Ibrir, “Stability and robust stabilization of discrete-time switched systems with time-delays: LMI approach,” Applied Mathematics and Computation, vol. 205, no. 2, pp. 570–578, 2008.

    Article  MathSciNet  Google Scholar 

  10. C. H. Lien, J. D. Chen, and K. W. Yu, “Robust delay-dependent H8 control for uncertain switched time-delay systems via sampled-data state feedback input,” Computers & Mathematics with Applications, vol. 64, no. 5, pp. 1187–1196, 2012.

    Article  Google Scholar 

  11. H. B. Li, H. J. Yang, F. Sun, and Y. Q. Xia, “A network-bound-dependent stabilization method of networked control systems,” Automatica, vol. 49, no. 8, pp. 2561–2566, 2013.

    Article  MathSciNet  Google Scholar 

  12. L. S. Hu, T. Bai, and P. Shi, “Sampled-data control of networked linear control systems,” Automatica, vol. 43, no. 5, pp. 903–911, 2007.

    Article  MATH  MathSciNet  Google Scholar 

  13. M. Garcia-Rivera and A. Barreiro, “Analysis of networked control systems with drops and variable delays,” Automatica, vol. 43, no. 12, pp. 2054–2059, 2007.

    Article  MATH  MathSciNet  Google Scholar 

  14. H. Lin and P. J. Antsaklis, “Stability and persistent disturbance attenuation properties for a class of networked control systems: switched system approach,” International Journal of Control, vol. 78, no. 18, pp. 1447–1456, 2005.

    Article  MATH  MathSciNet  Google Scholar 

  15. P. Seiler and R. Sengupta, “An H8 approach to networked control,” IEEE Trans. on Automatic Control, vol. 50, no. 3, pp. 356–364, 2005.

    Article  MathSciNet  Google Scholar 

  16. S. Xu and C. Yang, “H8 state feedback control for discrete singular systems,” IEEE Trans. on Automatic Control, vol. 45, no. 7, pp. 1405–1409, 2000.

    Article  MATH  Google Scholar 

  17. W. A. Zhang and L. Yu, “Modelling and control of networked control systems with both networkinduced delay and packet-dropout,” Automatica, vol. 44, no. 12, pp. 3206–3210, 2008.

    Article  MATH  MathSciNet  Google Scholar 

  18. W. A. Zhang and L. Yu, “Output feedback stabilization of networked control systems with packet dropouts,” IEEE Trans. on Automatic Control, vol. 52, no. 9, pp. 1705–1710, 2007.

    Article  Google Scholar 

  19. W. H. Fan, H. Cai, and Q. W. Chen, “Stability of networked control systems with time-delay,” Kongzhi Lilun yu Yingyong/Control Theory & Applications (China), vol. 21, no. 6, pp. 880–884, 2004.

    MATH  Google Scholar 

  20. Y. J. Pan, H. J. Marquez, and T. Chen, “Stabilization of remote control systems with unknown time varying delays by LMI techniques,” International Journal of Control, vol. 79, no. 7, pp. 752–763, 2006.

    Article  MATH  MathSciNet  Google Scholar 

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Correspondence to Chang-Chun Hua.

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Hua, CC., Yu, SC. & Guan, XP. A robust H control approach for a class of networked control systems with sampling jitter and packet-dropout. Int. J. Control Autom. Syst. 12, 759–768 (2014). https://doi.org/10.1007/s12555-013-0351-y

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  • DOI: https://doi.org/10.1007/s12555-013-0351-y

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