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Secure Control of Networked Switched Systems with Random DoS Attacks via Event-triggered Approach

Abstract

This paper considers security control of networked switched systems in which the denial-of-service attacks may happen when the output information is transmitted from the sensor to the controller. Besides, it is assumed that the denial-of-service obeys Bernoulli distribution. First, to reduce the communication burden and retaining a satisfactory performance, an event-triggered sampling mechanism is adopted. And then, security control of the switched systems is analyzed by designing an output-feedback controller and a switching signal based on the average dwell time method. It is shown that the state trajectory can be driven onto a certain bound despite the presence of the random denial-of-service attacks. Finally, a numerical example is given to demonstrate the effectiveness of the proposed method.

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References

  1. [1]

    D. Liberzon, Switching in Systems and Control, Birkhäuser, Berlin, Germany, 2003.

    Book  Google Scholar 

  2. [2]

    D. Liberzon and A. S. Morse, “Basic problems in stability and design of switched systems,” IEEE Control Systems Magazine, vol. 19, no. 5, pp. 59–70, 1999.

    Article  Google Scholar 

  3. [3]

    X. Zhao, S. Yin, H. Li, and B. Niu, “Switching stabilization for a class of slowly switched systems,” IEEE Transactions on Automatic Control, vol. 60, no. 1, pp. 221–226, 2015.

    MathSciNet  Article  Google Scholar 

  4. [4]

    Y. H. Liu, Y. Niu, and Y. Y. Zou, “Adaptive sliding mode reliable control for switched systems with actuator degradation,” IET Control Theory & Applications, vol. 9, no. 8, pp. 1197–1204, 2015.

    MathSciNet  Article  Google Scholar 

  5. [5]

    Y. H. Liu, “Sliding mode control for a class of uncertain discrete switched systems,” International Journal of Control, Automation, and Systems, vol. 16, no. 4, pp. 1716–1723, 2018.

    Article  Google Scholar 

  6. [6]

    X. Zhao, P. Shi, Y. Yin, and S. K. Nguang, “New results on stability of slowly switched systems: a multiple discontinuous Lyapunov function approach,” IEEE Transactions on Automatic Control, vol. 62, no. 7, pp. 3502–3509, 2017.

    MathSciNet  Article  Google Scholar 

  7. [7]

    C. Wu and W. Liu, “External stability of switching control systems,” Systems & Control Letters, vol. 106, pp. 24–31, 2017.

    MathSciNet  Article  Google Scholar 

  8. [8]

    W. Xiang, J. Lam, and P. Li, “On stability and H control of switched systems with random switching signals,” Automatica, vol. 95, pp. 419–425, 2018.

    MathSciNet  Article  Google Scholar 

  9. [9]

    B. Chen, W. A. Zhang, L. Yu, G. Q. Hu, and H. Y. Song, “Distributed fusion estimation with communication bandwidth constraints,” IEEE Transactions on Automatic Control, vol. 60, no. 5, pp. 1398–1403, 2015.

    MathSciNet  Article  Google Scholar 

  10. [10]

    X. Ge, F. Yang, and Q. L. Han, “Distributed networked control systems: a brief overview,” Information Sciences, vol. 380, no. 20, pp. 117–131, 2017.

    Article  Google Scholar 

  11. [11]

    C. Peng and Q. L. Han, “A novel event-triggered transmission scheme and L2 control co-design for sampled-data control systems,” IEEE Transactions on Automatic Control, vol. 58, no. 10, pp. 2620–2626, 2013.

    MathSciNet  Article  Google Scholar 

  12. [12]

    E. Garcia and P. J. Antsaklis, “Model-based event-triggered control for systems with quantization and time-varying network delays,” IEEE Transactions on Automatic Control, vol. 58, no. 2, pp. 422–434, 2013.

    MathSciNet  Article  Google Scholar 

  13. [13]

    X. M. Zhang, Q. L. Han, and B. L. Zhang, “An overview and deep investigation on sampled-data-based event-triggered control and filtering for networked systems,” IEEE Transactions on Industrial Informatics, vol. 13, no. 1, pp. 4–16, 2017.

    MathSciNet  Article  Google Scholar 

  14. [14]

    J. N. Li, Z. J. Li, Y. F. Xu, K. Y. Gu, W. D. Bao, and X. B. Xu, “Event-triggered non-fragile state estimation for discrete nonlinear Markov jump neural networks with sensor failures,” International Journal of Control, Automation, and Systems, vol. 17, no. 5, pp. 1131–1140, 2019.

    Article  Google Scholar 

  15. [15]

    H. Li, Z. Chen, L. Wu, and H. K. Lam, “Event-triggered fault detection of nonlinear networked systems,” IEEE Transactions on Automatic Control, vol. 47, no. 4, pp. 1041–1052, 2017.

    Google Scholar 

  16. [16]

    L. Wang, Z. Wang, T. Huang, and G. Wei, “An event-triggered approach to state estimation for a class of complex networks with mixed time delays and nonlinearities,” IEEE Transactions on Cybernetics, vol. 46, no. 11, pp. 2497–2508, 2016.

    Article  Google Scholar 

  17. [17]

    B. Shen, Z. Wang, and H. Qiao, “Event-triggered state estimation for discrete-time multidelayed neural networks with stochastic parameters and incomplete measurements,” Transactions on Neural Networks and Learning Systems, vol. 28, no. 5, pp. 1152–1163, 2017.

    Article  Google Scholar 

  18. [18]

    J. Chen, J. Li, and T. H. Lai, “Energy-efficient intrusion detection with a barrier of probabilistic sensors: global and local,” IEEE Transactions on Wireless Communications, vol. 12, no. 9, pp. 4742–4755, 2013.

    Article  Google Scholar 

  19. [19]

    H. J. Ni, Z. H. Xu, J. Cheng, and D. Zhang, “Robust stochastic sampled-data-based output consensus of heterogeneous multi-agent systems subject to random DoS attack: a Markovian jumping system approach,” International Journal of Control, Automation, and Systems, vol. 17, no. 7, pp. 1687–1698, 2019.

    Article  Google Scholar 

  20. [20]

    L. Zhao and G. H. Yang, “Adaptive sliding mode fault tolerant control for nonlinearly chaotic systems against DoS attack and network faults,” Journal of the Franklin Institute, vol. 354, no. 15, pp. 6520–6535, 2017.

    MathSciNet  Article  Google Scholar 

  21. [21]

    V. S. Dolk, P. Tesi, C. De. Persis, and W. P. M. H. Heemels, “Event-triggered control systems under denial-of-service attacks,” IEEE Transactions on Control of Network Systems, vol. 4, no. 1, pp. 93–105, 2017.

    MathSciNet  Article  Google Scholar 

  22. [22]

    J. L. Liu, Y. Y. Gu, L. J. Zha, Y. J. Liu, and J. Cao, “Event-triggered H load frequency control for multiarea power systems under hybrid cyber attacks,” IEEE Transactions on Systems, Man, and Cybernetics: Systems, vol. 49, no. 8, pp. 1665–1678, 2019.

    Article  Google Scholar 

  23. [23]

    H. Zhang, Y. Qi, J. Wu, L. Fu, and L. He, “DoS attack energy management against remote state estimation,” IEEE Transactions on Control of Network Systems, vol. 5, no. 1, pp. 383–394, 2018.

    MathSciNet  Article  Google Scholar 

  24. [24]

    K. Ding, Y. Li, D. E. Quevedo, S. Dey, and L. Shi, “A multi-channel transmission schedule for remote state estimation under DoS attacks,” Automatica, vol. 78, pp. 194–201, 2017.

    MathSciNet  Article  Google Scholar 

  25. [25]

    Y. Wang, L. Xie, and C. E. de Souza, “Robust control of a class of uncertain nonlinear systems,” System Control Letters, vol. 19, no. 10, pp. 139–149, 1992.

    MathSciNet  Article  Google Scholar 

  26. [26]

    D. Zhang, Z. Xu and H. R. Karimi, and Q. G. Wang, “Distributed filtering for switched linear systems with sensor networks in presence of packet dropouts and quantization,” IEEE Transactions on Circuits and Systems I, vol. 64, no. 10, pp. 2783–2796, 2017.

    Article  Google Scholar 

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Correspondence to Yonghui Liu.

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

Recommended by Associate Editor Yang Tang under the direction of Editor Hamid Reza Karimi. This work was supported partially by NNSF from China (Grant No. 61803253).

Yonghui Liu received her Ph.D. degree from East China University of Science and Technology in 2014. In 2014, she joined the School of Electrical Engineering, Shanghai Dianji University, where she is currently an associate processor. Her research interests covers sliding mode control, switched systems and fault tolerant control.

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Liu, Y. Secure Control of Networked Switched Systems with Random DoS Attacks via Event-triggered Approach. Int. J. Control Autom. Syst. 18, 2572–2579 (2020). https://doi.org/10.1007/s12555-019-0632-1

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Keywords

  • Average dwell time
  • event-triggered control
  • random denial-of-service attacks
  • switched systems