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Survey on the stability of networked control systems

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Abstract

The insertion of the communication network in the feedback control loop makes the analysis and design of a network control system more complex, and induces some issues that degrade the control system’s performance and even cause system instability. The main aspects are focused on the stability analysis of Network Control Systems (NCSs) with network-induced delays, data packet dropouts, and multiple-packet transmission. These issues must be considered in the design of an NCS. This work summarizes the main research results, and remarks on some related handling approaches and techniques. The main purpose of the survey is to present the new research state of NCSs and to point out some fields of future work.

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References

  1. Y. Halevi, A. Ray. Integrated communication and control systems: Part I — Analysis[J]. ASME Journal Dynamic Systems, Measurement Control, 1988, 110(12): 367–373.

    Article  Google Scholar 

  2. J. Nilsson. Real-time control systems with delays[D]. Lund, Sweden: Department of Automatic Control, Lund Institute of Technology, 1998.

    Google Scholar 

  3. R. S. Raji. Smart network for control[J]. IEEE Spectrum, 1994, 31(6): 49–55.

    Article  Google Scholar 

  4. F. Lian, et al. Implementation of networked machine tools in reconfigurable manufacturing systems[M]// 2000 Japan-USA Symposium on Flexible Automation. Michigan, USA: ASME Press, July 2000.

    Google Scholar 

  5. W. Zhang. Stability analysis of networked control systems[D]. Case Western Reserve University, Ohio, USA, 2001.

  6. Q. Li, D.L Mills. Jitter-based delay-boundary prediction of wide-area networks[J]. IEEE/ACM Transactions on Networking, 2001, 9(5): 578–590.

    Article  Google Scholar 

  7. O. Gabel, L. Litz. QoS-adaptive control in NCS with variable delays and packet losses — a heuristic approach[C] // 43rd IEEE Conference on Decision and Control. Atlantis: IEEE Press, December 2001: 1586–1591.

    Google Scholar 

  8. B. Wittenmark, J. Nilsson, M. Torngren. Timing problems in real-time control systems[C] // Proceedings of American Control Conference. Seattle, Washington: IEEE Press, 1995: 2000–2004.

    Chapter  Google Scholar 

  9. J. Nilsson, B. Bernhardsson. LQG control over a Markov communication network[C]// Proceedings of 36th conference on Decision and Control. San Diego, California USA: IEEE Press, December 1997: 4586–4591.

    Chapter  Google Scholar 

  10. J. Nilsson, B. Bernhardsson, B. Wittenmark. Stochastic analysis and control of real-time systems with random time delays[J]. Automatica, 1998, 34(1): 57–64.

    Article  MATH  MathSciNet  Google Scholar 

  11. S. Li, Z. Wang, Y. Sun. Delay-dependent controller design for networked control systems with long time delays: an iterative LMI method[C] // Proceedings of the 5th World Congress on Intelligent Control and Automation. Hangzhou, China: IEEE Press, June 2004: 1338–1342.

    Google Scholar 

  12. J. Wu, F. Deng, J. Gao. Modeling and stability of long random delay networked control systems[C] //In Proceedings of the 4th International Conference on Machine Learning and Cybernetics, Guangzhou, China: IEEE Press, August 2005: 947–952.

    Google Scholar 

  13. Q. Li, et al. LMI-based stability analysis of networked control systems with large time-varying delays[C]// Proceedings of the 2006 IEEE International Conference on Mechatronics and Automation. Luoyang, China: IEEE Press, June 2006: 713–717.

    Chapter  Google Scholar 

  14. J. Wu, F. Deng. Control of long random delay networked control systems with prescribed degree of stability[C]// Proceedings of the 6th World Congress on Intelligent Control and Automation. Dalian, China: IEEE Press, June 2006: 1270–1274.

    Google Scholar 

  15. F. Göktas, J. M. Smith, R. Bajcsy. U-synthesis for distributed control systems with network-induced delays[C]// Proceedings of the 35th Conference on Decision and Control. Kobe, Japan: IEEE Press, December 1996: 813–814.

    Chapter  Google Scholar 

  16. F. Göktas, J. M. Smith, R. Bajcsy. Telerobotics over communication networks[C] // Proceedings of the 36th Conference on Decision and Control. San Diego, California USA: IEEE Press, December 1997: 2399–2404.

    Chapter  Google Scholar 

  17. K. J. Åström, B. Wittenmark. Computer-Controlled Systems: Theory and Design[M]. 3rd ed. Englewood Cliffs, NJ: Prentice-Hall, 1997.

    Google Scholar 

  18. S. Hong. Scheduling algorithm of data sampling times in the integrated communication and control system[J]. IEEE Transactions on Control Systems Technology, 1995, 3(2): 225–230.

    Article  Google Scholar 

  19. M. Mukai, M. Fujita. On networked LQG control with varying delay using the delta operator[C]// Proceedings of the 44th SICE Annual Conference. Okayama, Japan: SICE Press, 2005: 3443–3448.

    Google Scholar 

  20. G. C. Walsh, H. Ye, L. Bushnell. Stability analysis of networked control systems[C]// Proceedings of the 1999 American Control Conference. San Diego, CA: IEEE Press, 1999: 2876–2880.

    Chapter  Google Scholar 

  21. G.C. Walsh, H.Ye.L. Bushnell. Stability analysis of networked control systems[J]. IEEE Transactions on Control Systems Technology, 2002, 10(3): 438–446.

    Article  Google Scholar 

  22. H. Lin, G. Zhai, P. J. Antsaklis. Robust stability and disturbance attenuation analysis of a class of networked control systems[C]// Proceedings of 42nd IEEE Conference Decision and Control. Maui, H: IEEE Press, 2003: 1182–1187.

    Google Scholar 

  23. S. Hu, W. Zhu. Stochastic optimal control and analysis of stability of networked control systems with long delay[J]. Automatica, 2003, 39(2): 1877–1884.

    MATH  MathSciNet  Google Scholar 

  24. G. Xie, L. Wang. Stabilization of networked control systems with time-varying network-induced delay[C]// Proceedings of 43rd IEEE Conference Decision Control. Atlantis, Paradise Island, Bahamas: IEEE Press, 2004: 3551–3556.

    Google Scholar 

  25. L. Xiao, A. Hassibi, J. P. How. Control with random communication delays via a discrete-time jump linear system approach[C]// Proceedings of 2000 American Control Conference. Chicago, Illinois: IEEE Press, 2000: 2199–2204.

    Google Scholar 

  26. L. Zhang, et al. A new method for stabilization of networked control systems with random delays[C]// Proceedings of 2005 American Control Conference. Portland, OR, USA: IEEE Press, 2005: 633–637.

    Chapter  Google Scholar 

  27. M. Yu, L. Wang, T. Chu, G. Xie. Stabilization of networked control systems with data packet dropout and network delays via switching system approach[C]// Proceedings of 43rd IEEE Conference Decision and Control. Atlantis, Paradise Island, Bahamas: IEEE Press, 2004: 3539–3544.

    Google Scholar 

  28. M. Yu, L. Wang, T. Chu, F. Hao. An LMI approach to networked control systems with data packet dropout and transmission delays[C] //Proceedings of 43rd IEEE Conference Decision and Control. Atlantis, Paradise Island, Bahamas: IEEE Press, 2004: 3545–3550.

    Google Scholar 

  29. M. Velasco, et al. Stability of networked control systems with bounded sampling rates and time delays[C]// 31th Annual Conference of the IEEE Industrial Electronics Society. Raleigh, USA: IEEE Press, November 2005: 2417–2422.

    Google Scholar 

  30. S. Mastellone, C. T. Abdallah, P. Dorato. Stability and finite-time stability analysis of discrete-time nonlinear networked control systems[C]// Proceedings of 2005 American Control Conference. Portland, OR, USA: IEEE Press, June 2005: 1239–1244.

    Chapter  Google Scholar 

  31. L. Shi, M. Epstein, Richard M. Murray. Networked control systems with norm bounded uncertainties: a stability analysis[C] //Proceedings of the 2006 American Control Conference. Minneapolis, USA: IEEE Press, 2006: 2783–2788.

    Google Scholar 

  32. T. Matiakis, S. Hirche, M. Buss. Independent-of-delay stability of nonlinear networked control systems by scattering transformation[C]// Proceedings of the 2006 American Control Conference. Minneapolis, Minnesota, USA: IEEE Press, 2006: 2801–2806.

    Google Scholar 

  33. B. Azimi-Sadjadi. Stability of networked control systems in the presence of packet losses[C]// Proceeding of the 42nd IEEE Conference on Decision and Control. Maui, Hawaii USA: IEEE Press, December 2003: 676–681.

    Google Scholar 

  34. Q. Ling, M. D. Lemmon. Soft real-time scheduling of networked control systems with dropouts governed by a Markov chain[C]// Proceedings of the American Control Conference. Denver, Colorado: IEEE Press, June 2003: 4845–4850.

    Chapter  Google Scholar 

  35. Q. Ling, M. D. Lemmon. Robust performance of soft real-time control systems with data dropouts[C]// Proceedings of the 41st IEEE Conference on Decision and Control. Las Vegas, Nevada, USA: IEEE Press, December 2002: 1225–1230.

    Chapter  Google Scholar 

  36. S. Hu, W. Yan. Stability of networked control systems: analysis of packet dropping[C]// International Conference on Control, Automation, Robotics and Vision. Kunming, China: IEEE Press, December 2004: 304–309.

    Google Scholar 

  37. Y. Zhang, Y. Tian, J. Cai. Stability analysis of networked control systems with packet loss[C]// Proceedings of the 6th World Congress on Control and Automation. Dalian, China: IEEE Press, June 2006: 4556–4560.

    Chapter  Google Scholar 

  38. M. Yu, L. Wang, T. Chu, F. Hao. Stabilization of networked control systems with data packet dropout and transmission delays: continuous-time case[J]. European Journal of Control, 2005, 11(1): 40–49.

    Article  MathSciNet  Google Scholar 

  39. M. Yu, L. Wang, T. Chu. Stability analysis of networked control systems with packet dropout and transmission delays: discrete-time case[J]. Asian Journal of Control, 2005, 7(4): 433–439.

    Article  Google Scholar 

  40. W. Kim, K. Ji, A. Ambike. Networked real-time control strategies dealing with stochastic time delays and packet losses[C]//Proceedings of 2005 American Control Conference. Portland, OR, USA: IEEE Press, June 2005: 621–626.

    Google Scholar 

  41. B. Tavassoli, P. J. Maralani. Robust design of networked control systems with randomly varying delays and packet losses[C]//Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference. Seville, Spain: IEEE Press, 2005: 1601–1606.

    Chapter  Google Scholar 

  42. W. Wong, R. W. Brockett. Systems with finite communication bandwidth constrains-I: State estimation problems[J]. IEEE Transactions on Automatic Control, 1997, 42(9): 1294–1299.

    Article  MATH  MathSciNet  Google Scholar 

  43. D. Hristu, K. Morgansen. Stabilization of LTI systems with communication constraints[C]// Proceedings American Control Conference. Chicago, Illinois: IEEE Press, 2000 4: 2342–2346.

    Google Scholar 

  44. J. K. Yook, D. M. Tilbury, N. R. Soparkar. Trading computation for bandwidth: reducing communication in distributed control systems using state estimators[J]. IEEE Transactions on Control Systems Technology, 2002 10(4): 503–518.

    Article  Google Scholar 

  45. Z. Sun, X. Li, D. Zhu. Analysis of networked control systems with multiple-packet transmission[C]// Proceedings of the 5th World Congress on Intelligent Control and Automation. Hangzhou, China: IEEE Press, 2004: 1357–1360.

    Google Scholar 

  46. T. Li, Y. Ge, Z. Liu. Analysis of networked control systems with communication constraints[C] // Proceedings of the 6th World Congress on Control and Automation. Dalian, China: IEEE Press, June 2006: 4535–4538.

    Google Scholar 

  47. S. Hu, W. Yan. Stability of networked control systems subject to a multiple-packet transmission policy[C] // 2006 IEEE Conference: Cybernetics and Intelligent Systems. Bangkok, Thailand: IEEE Press, June 2006: 1–6.

    Chapter  Google Scholar 

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Author information

Authors and Affiliations

  1. Anhui Provincial Key Laboratory of Electric and Control, Wuhu, Anhui, 241000, China

    Yuan Ge & Li Tian

  2. Department of Automation, University of Science and Technology of China, Hefei, Anhui, 230027, China

    Zhenan Liu

Authors
  1. Yuan Ge
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  2. Li Tian
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  3. Zhenan Liu
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Corresponding author

Correspondence to Yuan Ge.

Additional information

This work was supported by the Youth Natural Science Foundation of AUTS(No.2005YQ002), the Natural Science Foundation of Anhui Provincial Education Department(No.2006KJ031B).

Yuan GE was born in XuZhou, JiangSu Provincy, China on Feb. 3, 1979. He received B.S. degree in 2002, M.E. degree in 2005 from Department of Automation, University of Science and Technology of China. He is presently working in Anhui University of Technology and Science. His research interests include switched systems, networked control systems, and time-delay systems.

Li TIAN was born in ChiZhou, AnHui Provincy, China on November 15, 1964. She received M.S. degree in 1986 from Department of Electrical Engineering, Shandong University of Science and Technology. She is currently a professor of Anhui University of Technology and Science. Her research interests include hybrid systems, robust control, decoupling control theory and application.

Zhenan LIU was born in Xuzhou, JiangSu Provincy, China on Aug. 8, 1947. He is currently a professor of University of Science and Technology of China. His research interests include image processing, voice processing, and global positioning system (GPS).

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Ge, Y., Tian, L. & Liu, Z. Survey on the stability of networked control systems. J. Control Theory Appl. 5, 374–379 (2007). https://doi.org/10.1007/s11768-006-6137-5

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  • DOI: https://doi.org/10.1007/s11768-006-6137-5

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