Skip to main content
SpringerLink
Log in

H∞ Control with Multiple Packets Compensation Scheme for T-S Fuzzy Systems Subject to Cyber Attacks

  • Published:
International Journal of Control, Automation and Systems Aims and scope Submit manuscript

Abstract

This paper is concerned with the H∞ controller design problem for a class of network-based nonlinear systems (NCSs) represented by the Takagi-Sugeno (T-S) fuzzy model. A multiple packets compensation scheme is developed which uses all the data stored in a finite memory buffer to compensate the negative effects of packet dropouts. This model contains the medium access constraint problem as a special case. The time-multiplexing mechanism may be used for such a case so that there are multiple packets arrive at the receiver side. By taking the stochastic cyber attacks into account, the desired controller in terms of linear matrix inequalities (LMIs) is designed by using fuzzy-rule-dependent Lyapunov method. The sufficient condition is obtained which makes the closed-loop system be asymptotically mean-square stable and achieve the prescribed H∞ disturbance-rejection-attenuation level. Finally, a mass-spring-damping system is given to show the effectiveness of the algorithm.

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. R. A. Gupta and M. Y. Chow, “Networked control system: overview and research trends,” IEEE Transactions on Industrial Electronics, vol. 57, no. 7, pp. 2527–2535, July 2010.

    Article  Google Scholar 

  2. Y. G. Sun and S. Y. Qin, “Stability and stabilization of networked control systems with bounded packet dropout,” Acta Automatica Sinica, vol. 37, no. 1, pp. 113–118, January 2011.

    MathSciNet  Google Scholar 

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

    Article  MathSciNet  MATH  Google Scholar 

  4. X. Li and S. Sun, “Observer-based H∞ control for networked systems with bounded random delays and consecutive packet dropouts,” International Journal of Robust & Nonlinear Control, vol. 24, no. 17, pp. 2785–2802, November 2014.

    Article  MathSciNet  MATH  Google Scholar 

  5. F. Yang and Q. L. Han, “H∞ control for networked systems with multiple packet dropouts,” Information Sciences, vol. 252, pp. 106–117, December 2013.

    Article  MathSciNet  MATH  Google Scholar 

  6. D. Wu, X. M. Sun, Y. Tan, and W. Wang, “On designing event-triggered schemes for networked control systems subject to one-step packet dropout,” IEEE Transactions on Industrial Informatics, vol. 12, no. 3, pp. 902–910, June 2016.

    Article  Google Scholar 

  7. P. Yang, Y. Tang, M. Yan and X. Zhu, “Consensus based control algorithm for nonlinear vehicle platoons in the presence of time delay,” International Journal of Control, Automation and Systems, vol. 17, no. 3, pp. 752–764, March 2019.

    Article  Google Scholar 

  8. H. Y. Yu, Y. Zhuang, and W. Wang, “Distributed H∞ filtering in sensor networks with randomly occurred missing measurements and communication failures,” Information Science, vol. 222, pp. 424–438, February 2013.

    Article  MathSciNet  MATH  Google Scholar 

  9. C. Tan, L. Li, and H. Zhang, “Stabilization of networked control systems with both network-induced delay and packet dropout,” Automatica, vol. 59, no. 9, pp. 194–199, September 2015.

    Article  MathSciNet  MATH  Google Scholar 

  10. L. Qiu, Q. Luo, F. Gong, S. Li, and B. Xu, “Stability and stabilization of networked control systems with random time delays and packet dropouts,” Journal of the Franklin Institute, vol. 350, no. 7, pp. 1886–1907, September 2013.

    Article  MathSciNet  MATH  Google Scholar 

  11. D. Shah and A. Mehta, “Discrete-time sliding mode controller subject to real-time fractional delays and packet losses for networked control system,” International Journal of Control, Automation and Systems, vol. 15, no. 6, pp. 2690–2703, June 2017.

    Article  Google Scholar 

  12. M. Chadli, M. Davoodi, and N. Meskin, “Distributed state estimation, fault detection and isolation filter design for heterogeneous multi-agent linear parameter-varying systems,” IET Control Theory & Applications, vol. 11, no. 2, pp. 254–262, February 2017.

    Article  MathSciNet  Google Scholar 

  13. D. Zhang, Q. G. Wang, L. Yu, and Q. K. Shao, “H∞ filtering for networked systems with multiple time-varying transmissions and random packet dropouts,” IEEE Transactions on Industrial Informatics, vol. 9, no. 3, pp. 1705–1716, August 2013.

    Article  Google Scholar 

  14. L. J. Zhang, L. X. Yang, L. D. Guo, and J. Li, “Optimal estimation for multiple packet dropouts systems based on measurement predictor,” IEEE Sensors Journal, vol. 11, no. 9, pp. 1943–1950, September 2011.

    Article  Google Scholar 

  15. Z. Feng, C. Wu, and H. Li, “Fuzzy dynamic outputfeedback control of non-linear networked discrete-time system with missing measurements,” IET Control Theory & Applications, vol. 9, no. 3, pp. 327–335, February 2015.

    Article  MathSciNet  Google Scholar 

  16. X. Y. Li and S. L. Sun, “H∞ control for networked stochastic non-linear systems with randomly occurring sensor saturations, multiple delays and packet dropouts,” IET Control Theory & Applications, vol. 11, no. 17, pp. 2954–2963, November 2017.

    Article  MathSciNet  Google Scholar 

  17. D. Zhang, P. Shi Q. G. Wang, and L. Yu, “Analysis and synthesis of networked control systems: A survey of recent advances and challenges,” ISA Transactions, vol. 66, no. 1, pp. 376–392, January 2017.

    Article  Google Scholar 

  18. J. Liu, L. Wei, E. Tian, S. Fei, and J. Cao, “H∞ filtering for networked systems with hybrid-triggered communication mechanism and stochastic cyber attacks,” Journal of the Franklin Institute, vol. 354, no. 18, pp. 8490–8512, December 2017.

    Article  MathSciNet  MATH  Google Scholar 

  19. Y. Tan, S. Fei, and J. Liu, “Distributed hybrid-triggered state estimation for complex networked system with network attacks,” SCIENTIA SINICA Informationis, vol. 48, no. 9, pp. 1198–1123, September 2018.

    Article  Google Scholar 

  20. S. Liu, G. Wei, Y. Song, and Y. Liu, “Extended Kalman filtering for stochastic nonlinear systems with randomly occurring cyber attacks,” Neurocomputing, vol. 207, no. 27, pp. 708–716, September 2016.

    Article  Google Scholar 

  21. Y. Gao, Y. Ma, L. Zhang, M. Wang, and W. Wang, “Synchronization control of cyber physical systems during malicious stochastic attacks,” Journal of Tsinghua University (Science & Technology), vol. 58, no. 1, pp. 14–19, January 2016.

    Google Scholar 

  22. A. Y. Lu and G. H. Yang, “Event-triggered secure observer-based control for cyber-physical systems under adversarial attacks,” Information Sciences, vol. 420, pp. 96–109, December 2017.

    Article  MATH  Google Scholar 

  23. Y. Xu, M. Fang, Z. G. Wu, Y. J. Pan, M. Chadli, and T. W. Huang, “Input-based event-triggering consensus of multiagent systems under denial-of-service attacks,” IEEE Transactions on Systems, Man, and Cybernetics: Systems, vol. 50, no. 4, pp. 1455–1464, 2020.

    Article  Google Scholar 

  24. M. Rehan, M. Tufail, C. K. Ahn, and M. Chadli, “Stabilisation of locally Lipschitz non-linear systems under input saturation and quantisation,” IET Control Theory & Applications, vol. 11, no. 9, pp. 1459–1466, September, 2017.

    Article  MathSciNet  Google Scholar 

  25. H. Yan, F. Qian, F. Yang, and H. Shi, “H∞ filtering for nonlinear networked systems with randomly occurring distributed delays, missing measurements and sensor saturation,” Information Sciences, vol. 370–371, pp. 772–782, November 2016.

    Article  MATH  Google Scholar 

  26. J. Li and G. H. Yang, “Fuzzy descriptor sliding mode observer design: a canonical form-based method,” IEEE Transactions on Fuzzy Systems, 2019. DOI: https://doi.org/10.1109/TFUZZ.2019.2930036

  27. S. H. Tsai, Y. A. Chen, and J. C. Lo, “A novel stabilization condition for a class of T-S fuzzy time-delay systems,” Neurocomputing, vol. 175, Part A, pp. 223–232, January 2016.

    Article  Google Scholar 

  28. M. Li and Y. Chen, “Robust time-varying H∞ control for networked control system with uncertainties and external disturbance,” International Journal of Control, Automation and Systems, vol. 16, no. 9, pp. 2125–2135, September 2018.

    Article  Google Scholar 

  29. W. Yang and S. Tong, “Adaptive output feedback fault-tolerant control of switched fuzzy systems,” Information Sciences, vol. 329, pp. 478–490, February 2016.

    Article  MATH  Google Scholar 

  30. S. Aouaouda and M. Chadli, “Robust fault tolerant controller design for T-S systems under input saturation,” International Journal of Systems Science, vol. 50, no. 6, pp. 1163–1178, June 2019.

    Article  MathSciNet  Google Scholar 

  31. X. Xie, D. Yue, and C. Peng, “Relaxed real-time scheduling stabilization of discrete-time Takagi-Sugeno fuzzy systems via an alterable-weights-based ranking switching mechanism,” IEEE Transactions on Fuzzy Systems, vol. 26, no. 6, pp. 3808–3819, December 2018.

    Article  Google Scholar 

  32. X. Xie, Q. Zhou, D. Yue, and H. Li, “Relaxed control design of discrete-time Takagi-Sugeno fuzzy systems: An event-triggered real-time scheduling approach,” IEEE Transactions on Systems, Man, and Cybernetics: Systems, vol. 48, no. 12, pp. 2251–2262, December 2018.

    Article  Google Scholar 

  33. X. Xie, D. Yue, and C. Peng, “Relaxed fuzzy control synthesis of nonlinear networked systems under unreliable communication links,” Applied Soft Computing, vol. 41, no. 4, pp. 180–191, April 2016.

    Article  Google Scholar 

  34. H. Li, C. Wu, and Z. Feng, “Fuzzy dynamic outputfeedback control of non-linear networked discrete-time system with missing measurements,” IET Control Theory & Applications, vol. 9, no. 3, pp. 327–335, February 2015.

    Article  MathSciNet  Google Scholar 

  35. J. Zhang, P. Shi, and Y. Xia, “Fuzzy delay compensation control for T-S fuzzy systems over network,” IEEE Transactions on Cybernetics, vol. 43, no. 1, pp. 259–268, February 2013.

    Article  Google Scholar 

  36. J. Li and Q. Zhang, “Fuzzy reduced-order compensator-based stabilization for interconnected descriptor systems via integral sliding modes,” IEEE Transactions on Systems, Man and Cybernetics: Systems, vol. 49, no. 4, pp. 752–765, April, 2019.

    Article  Google Scholar 

  37. J. Dong and S. Wang, “Robust H∞-tracking control design for T-S fuzzy systems with partly immeasurable premise variables,” Journal of the Franklin Institute, vol. 354, no. 10, pp. 3919–3944, July 2017.

    Article  MathSciNet  MATH  Google Scholar 

  38. K. Sun, S. Mou, J. Qiu, T. Wang, and H. Gao, “Adaptive fuzzy control for nontriangular structural stochastic switched nonlinear systems with full state constraints,” IEEE Transactions on Fuzzy Systems, vol. 27, no. 8, pp. 1587–1601, August 2019.

    Article  Google Scholar 

  39. J. Qiu, K. Sun, I. J. Rudas, and H. Gao, “Command filter-based adaptive NN control for MIMO nonlinear systems with full-state constraints and actuator hysteresis,” IEEE Transactions on Cybernetics, 2019. DOI: https://doi.org/10.1109/TCYB.2019.2944761

  40. J. Qiu, K. Sun, T. Wang, and H. Gao, “Observer-based fuzzy adaptive event-triggered control for pure-feedback nonlinear systems with prescribed performance,” IEEE Transactions on Fuzzy Systems, vol. 27, no. 11, pp. 2152–2162, November 2019.

    Article  Google Scholar 

  41. L. Wang, H. Du, C. Wu, and H. Li, “A new compensation for fuzzy static output-feedback control of nonlinear networked discrete-time systems,” Signal Processing, vol. 120, pp. 255–265, March 2016.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. School of Electrical and Electronics Engineering, Shanghai Institute of Technology, Shanghai, 201418, China

    Xiu-Ying Li & Xiang-Hua Ma

  2. School of Electronic Engineering, Heilongjiang University, Harbin, 150080, China

    Xiu-Ying Li, Bao-Jun Wang & Lei Zhang

Authors
  1. Xiu-Ying Li
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Bao-Jun Wang
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Lei Zhang
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Xiang-Hua Ma
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Xiu-Ying Li.

Additional information

Publisher’s Note Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Recommended by Associate Editor Ding Zhai under the direction of Editor Jessie (Ju H.) Park. This work was supported by National Natural Science Foundation of China under grant NSFC-61503126, Heilongjiang Natural Science Foundation under grant F2018024, Basic Research Fund of Heilongjiang University under grant RCYJTD201806, Open Fund of Shanghai Key Laboratory of Multidimensional Information Processing, East China Normal University under Grant 2019MIP003.

Xiu-Ying Li is an associate professor at the School of Electrical and Engineering, Shanghai Institute of Technology, China. She is also a Master student supervisor at the School of Electronic Engineering, Heilongjiang University, China. Her research interest covers the networked systems filtering and robust control.

Bao-Jun Wang is a Master’s student at the School of Electronic Engineering, Heilongjiang University, China. His main research interest is the fuzzy control for networked control systems.

Lei Zhang is a Master’s student at the School of Electronic Engineering, Heilongjiang University, China. His main research interest is the networked control systems.

Xiang-Hua Ma is an associate professor at the School of Electrical and Electronic Engineering, Shanghai Institute of Technology, China. Her research interest covers the optimized control, networked control systems, and computer vision.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Li, XY., Wang, BJ., Zhang, L. et al. H∞ Control with Multiple Packets Compensation Scheme for T-S Fuzzy Systems Subject to Cyber Attacks. Int. J. Control Autom. Syst. 19, 230–240 (2021). https://doi.org/10.1007/s12555-019-0920-9

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12555-019-0920-9

Keywords

Search

Navigation