Skip to main content
SpringerLink
Log in

Observer-based h-infinity control in multiple channel networked control systems with random packet dropouts

  • Published:
Journal of Control Theory and Applications Aims and scope Submit manuscript

Abstract

This paper investigates the observer-based H-infinity control problem for networked control systems (NCSs) with random packet dropouts. A general packet dropout model with multiple independent stochastic variables in the multiple channels case is adopted to describe the data missing in the limited communication channels. With the consideration of the sensor-to-controller and controller-to-actuator packet dropouts at the same time, a new method is proposed based on a separation lemma to design an observer-based H-infinity controller, which exponentially stabilizes the closed-loop system in the sense of mean square and also achieves a prescribed H-infinity disturbance attenuation level. A numerical example is given to illustrate the effectiveness of the proposed control method.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. W. Zhang, M. S. Branicky, S. M. Phillips. Stability of networked control systems[J]. IEEE Control Systems Magazine, 2001, 21(1): 84–99.

    Article  Google Scholar 

  2. N. Berman, U. Shaked. H∞ control for discrete-time nonlinear stochastic systems[J]. IEEE Transactions on Automatic Control, 2006, 51(6): 1041–1046.

    Article  MathSciNet  Google Scholar 

  3. X. Fang, J. Wang. Stochastic observer-based guaranteed cost control for networked control systems with packet dropouts[J]. IET Control Theory and Applicaitons, 2008, 2(11): 980–989.

    Article  MathSciNet  Google Scholar 

  4. H. Gao, J. Lam, C. Wang. Robust energy-to-peak filter design for stochastic time-delay systems[J]. Systems & Control Letters, 2006, 55(2): 101–111.

    Article  MATH  MathSciNet  Google Scholar 

  5. M. Hadidi, S. Schwartz. Linear recursive state estimators under uncertain observations[J]. IEEE Transactions on Automatic Control, 1979, 24(6): 944–948.

    Article  MATH  MathSciNet  Google Scholar 

  6. O. C. Imer, S. Yuksel, T. Basar. Optimal control of LTI systems over unreliable communication links[J]. Automatica, 2006, 42(9): 1429–1439.

    Article  MATH  MathSciNet  Google Scholar 

  7. M. Huang, S. Dey. Stability of Kalman filtering with Markovian packet losses[J]. Automatica, 2007, 43(4): 598–607.

    Article  MATH  MathSciNet  Google Scholar 

  8. J. P. Hespanha, P. Naghshtabrizi, Y. Xu. A survey of recent results in networked control systems[J]. Proceedings of IEEE, 2007, 95(1): 138–162.

    Article  Google Scholar 

  9. C. Lin, Z. Wang, F. Wang. Observer-based networked control for continuous-time systems with random sensor delays[J]. Automatica, 2009, 45(2): 578–584.

    Article  MATH  MathSciNet  Google Scholar 

  10. N. Nahi. Optimal recursive estimation with uncertain observation[J]. IEEE Transactions on Information Theory, 1969, 15(4): 457–462.

    Article  MATH  MathSciNet  Google Scholar 

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

    Article  MATH  MathSciNet  Google Scholar 

  12. A. Ray. Output feedback control under randomly varying distributed delays[J]. Journal of Guidance Control and Dynamics, 1994, 17(4): 701–711.

    Article  MATH  Google Scholar 

  13. M. Sahebsara, T. Chen, S. L. Shah. Optimal H2 filtering with random sensor delay, multiple packet dropout and uncertain observations[J]. International Journal of Control, 2007, 80(2): 292–301.

    Article  MATH  MathSciNet  Google Scholar 

  14. M. Sahebsara. Optimal filtering in multiple channel networked control systems with multiple packet dropout[C]//Proceedings of the 47th IEEE Conference on Decision and Control. Piscataway: IEEE, 2008: 3366–3371.

    Chapter  Google Scholar 

  15. M. Sahebsara, T. Chen, S. L. Shah. Optimal H∞ filtering in networked control systems with multiple packet dropout[J]. Systems & Control Letters, 2008, 57(9): 696–702.

    Article  MATH  MathSciNet  Google Scholar 

  16. B. Sinopoli, L. Schenato, M. Franceschetti, et al. Kalman filtering with intermittent observations[J]. IEEE Transactions on Automatic Control, 2004, 49(9): 1453–1464.

    Article  MathSciNet  Google Scholar 

  17. S. Sun, L. Xie, W. Xiao, et al. Optimal linear estimation for systems with multiple packet dropouts[J]. Automatica, 2008, 44(5): 1333–1342.

    Article  MathSciNet  Google Scholar 

  18. S. Sun, L. Xie, W. Xiao. Optimal filtering for systems with multiple packet dropouts[J]. IEEE Transactions on Circuit and Systems-II: Express Briefs, 2008, 55(7): 695–699.

    Article  Google Scholar 

  19. L. Schenato, B. Sinopoli, M. Franceschetti, et al. Foundations of control and estimation over lossy networks[J]. Proceedings of the IEEE, 2007, 95(1): 163–187.

    Article  Google Scholar 

  20. E. Tian, D. Yue, C. Peng. Quantised output feedback control for networked control systems[J]. Information Science, 2008, 178(12): 2734–2749.

    Article  MATH  MathSciNet  Google Scholar 

  21. Z. Wang, F. Yang, D. W. C. Ho, et al. Robust H∞ control for networked systems with random packet losses[J]. IEEE Transactions on Systems, Man, and Cybernetics-Part B: Cybernetics, 2007, 37(4): 916–924.

    Article  Google Scholar 

  22. Z. Wang, D. W. C. Ho, Y. Liu, et al. Robust H∞ control for a class of nonlinear discrete time-delay stochastic systems with missing measurements[J]. Automatica, 2009, 45(3): 684–691.

    Article  MATH  MathSciNet  Google Scholar 

  23. J. Wu, T. Chen. Design of networked control systems with packet dropouts[J]. IEEE Transactions on Automatic Control, 2007, 52(7): 1314–1319.

    Article  Google Scholar 

  24. J. Xiong, J. Lam. Stabilization of linear systems over networks with bounded packet loss[J]. Automatica, 2007, 43(1): 80–87.

    Article  MATH  MathSciNet  Google Scholar 

  25. E. Yaz, A. Ray. Linear unbiased state estimation for random models with sensor delay[C]//Proceedings of Conference on Decision and Control. New York: IEEE, 1996: 47–52.

    Google Scholar 

  26. F. Yang, Z. Wang, Y. Hung, et al. H∞ control for networked systems with random communication delays[J]. IEEE Transactions on Automatic Control, 2006, 51(3): 511–518.

    Article  MathSciNet  Google Scholar 

  27. L. El. Ghaoui, F. Oustry, M. Ait Rami. A cone complementarity linearization algorithm for static output-feedback and related problems[J]. IEEE Transactions on Automatic Control, 1997, 42(8): 1171–1176.

    Article  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore, 639798, Singapore

    Weiwei Che & Jianliang Wang

  2. School of Information Science and Engineering, Northeastern University, Shenyang Liaoning, 110004, China

    Guanghong Yang

Authors
  1. Weiwei Che
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Jianliang Wang
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Guanghong Yang
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Weiwei Che.

Additional information

This work was supported by the Defence Science Organisation-National Laboratories (DSO-NL), Singapore (No.DSOCL06184).

Weiwei CHE is a research fellow of School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore. Her research interests include nonfragile control, quantization control and networked control.

Jianliang WANG received the M.S. and Ph.D. degrees in Electrical Engineering from the Johns Hopkins University, USA, in 1985 and 1988, respectively. Since 1990, he has been with the School of Electrical and Electronic Engineering at the Nanyang Technological University, Singapore, where he is currently an associate professor. His current research interests include sensor networks and networked control systems, robust and reliable control and filtering, fault detection and identification, model predictive control, nonlinear control, and their application to flight control system design. He is a senior member of IEEE, and an associate editor of the Journal of Control Science and Engineering. He was also Chairman of IEEE Singapore Control Systems Chapter (2008–2009).

Guanghong YANG is a professor at Northeastern University. His current research interests cover faulttolerant control, fault detection and isolation, and robust control. He is also a senior member of IEEE, an associate editor for the International Journal of Control, Automation and Systems (IJCAS), and an associate editor of the Conference Editorial Board of IEEE Control Systems Society.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Che, W., Wang, J. & Yang, G. Observer-based h-infinity control in multiple channel networked control systems with random packet dropouts. J. Control Theory Appl. 8, 359–367 (2010). https://doi.org/10.1007/s11768-010-0049-0

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11768-010-0049-0

Keywords

Search

Navigation