Skip to main content
Log in

Event-Triggered Control for LPV Systems Under Hybrid Cyberattacks

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

Abstract

This paper presents a novel approach for resilient event-triggered control for linear parameter-varying (LPV) systems under denial-of-service (DoS) attacks and stochastic deception attacks. The proposed networked control system comprises a gain-scheduled controller and an event-triggering mechanism. Besides that, a scenario where DoS attacks restrict the data rate is investigated. This is done by considering a deterministic DoS attack model that limits the frequency and duration of the DoS attack sequence on average. On the other hand, in the absence of DoS attacks the network may be subject to the occurrence of stochastic deception attacks that follow a given Bernoulli distribution. Furthermore, a switching approach provides new co-design conditions based on linear matrix inequalities (LMIs) to guarantee the mean square exponential stability of the closed-loop system even in the presence of hybrid attacks. It is also proposed an LMI-based optimization strategy to enhance resilience against the considered class of DoS attacks while minimizing the number of transmissions. Finally, a numerical example is provided to illustrate the effectiveness of the proposed approach.

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

Access this article

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

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7

Similar content being viewed by others

References

  • Ban, J., Seo, M., Goh, T., Jeong, H., & Kim, S. W. (2020). Improved co-design of event-triggered dynamic output feedback controllers for linear systems. Automatica, 111, 108600.

    Article  MathSciNet  Google Scholar 

  • Bu, X., Dong, H., Han, F., & Li, G. (2018). Event-triggered distributed filtering over sensor networks with deception attacks and partial measurements. International Journal of General Systems, 47, 395–407.

    Article  ADS  MathSciNet  Google Scholar 

  • Cao, J., Da Ding, J., Tian, Liu E., Hu, S., & Xie, X. (2021). Hybrid-triggered-based security controller design for networked control system under multiple cyber attacks. Information Sciences, 548, 69–84.

    Article  MathSciNet  Google Scholar 

  • Chen, Y., Zheng, W. X., & Xue, A. (2010). A new result on stability analysis for stochastic neutral systems. Automatica, 46(12), 2100–2104.

    Article  MathSciNet  Google Scholar 

  • Coutinho, P. H. S., Bessa, I., Pessim, P. S., & Palhares, R. M. (2023). A switching approach to event-triggered control systems under denial-of-service attacks. Nonlinear Analysis: Hybrid Systems, 50, 101383.

    MathSciNet  Google Scholar 

  • Coutinho, P. H. S., Bessa, I., Peixoto, M. L. C., & Palhares, R. M. (2024). A co-design condition for dynamic event-triggered feedback linearization control. Systems & Control Letters, 183, 105678.

    Article  MathSciNet  Google Scholar 

  • Coutinho, P. H. S., & Palhares, R. M. (2021). Dynamic periodic event-triggered gain-scheduling control co-design for quasi-LPV systems. Nonlinear Analysis: Hybrid Systems, 41, 101044.

    MathSciNet  Google Scholar 

  • Coutinho, P. H. S., & Palhares, R. M. (2022). Co-design of dynamic event-triggered gain-scheduling control for a class of nonlinear systems. IEEE Transactions on Automatic Control, 67(8), 4186–4193.

    Article  MathSciNet  Google Scholar 

  • Coutinho, P. H. S., Peixoto, M. L. C., Bessa, I., & Palhares, R. M. (2022). Dynamic event-triggered gain-scheduling control of discrete-time quasi-LPV system. Automatica, 141, 110292.

    Article  MathSciNet  Google Scholar 

  • Davó, M., Gouaisbaut, F., Baños, A., Tarbouriech, S., & Seuret, A. (2018). Exponential stability of a PI plus reset integrator controller by a sampled-data system approach. Nonlinear Analysis: Hybrid Systems, 29, 133–146.

    MathSciNet  Google Scholar 

  • De Persis, C., & Tesi, P. (2015). Input-to-state stabilizing control under denial-of-service. IEEE Transactions on Automatic Control, 60(11), 2930–2944.

    Article  MathSciNet  Google Scholar 

  • Ding, D., Wang, Z., Han, Q.-L., & Wei, G. (2018). Security control for discrete-time stochastic nonlinear systems subject to deception attacks. IEEE Transactions on Systems, Man, and Cybernetics: Systems, 48(5), 779–789.

    Article  Google Scholar 

  • Dolk, V. S., Tesi, P., De Persis, C., & Heemels, W. (2017). Event-triggered control systems under denial-of-service attacks. IEEE Transactions on Control of Network Systems, 4(1), 93–105.

    Article  MathSciNet  Google Scholar 

  • Girard, A. (2015). Dynamic triggering mechanisms for event-triggered control. IEEE Transactions on Automatic Control, 60(7), 1992–1997.

    Article  MathSciNet  Google Scholar 

  • Han, Y., Li, C., & Wang, M. (2023). Dynamic output feedback control for asynchronous switched systems in network environments subject to deception attack. Journal of Control, Automation and Electrical Systems, 34, 519–529.

    Article  Google Scholar 

  • Khalil, H. K. (2002). Nonlinear Systems (3rd ed.). Upper Saddle River: Prentice Hall.

    Google Scholar 

  • Liu, J., Wang, Y., Zha, L., Xie, X., & Tian, E. (2021). An event-triggered approach to security control for networked systems using hybrid attack model. International Journal of Robust and Nonlinear Control, 31, 5796–5812.

    Article  MathSciNet  Google Scholar 

  • Liu, J., Wei, L., Xie, X., Tian, E., & Fei, S. (2018). Quantized stabilization for T-S fuzzy systems with hybrid-triggered mechanism and stochastic cyber-attacks. IEEE Transactions on Fuzzy Systems, 26(6), 3820–3834.

    Article  Google Scholar 

  • Peixoto, M. L. C., Braga, M. F., & Palhares, R. M. (2020). Gain-scheduled control for discrete-time nonlinear parameter-varying systems with time-varying delays. IET Control Theory & Applications, 14(19), 3217–3229.

    Article  MathSciNet  Google Scholar 

  • Peixoto, M. L. C., Coutinho, P. H. S., Bessa, I., Pessim, P. S. P., & Palhares, R. M. (2023). Event-triggered control of Takagi–Sugeno fuzzy systems under deception attacks. International Journal of Robust and Nonlinear Control, 33(13), 7471–7487.

    Article  MathSciNet  Google Scholar 

  • Peng, C., & Li, F. (2018). A survey on recent advances in event-triggered communication and control. Information Sciences, 457–458, 113–125.

    Article  MathSciNet  Google Scholar 

  • Persis, C. D., & Tesi, P. (2016). Networked control of nonlinear systems under denial-of-service. Systems & Control Letters, 96, 124–131.

    Article  MathSciNet  Google Scholar 

  • Pessim, P. S. P., & Lacerda, M. J. (2021). State-feedback control for cyber-physical LPV systems under DoS attacks. IEEE Control Systems Letters, 5(3), 1043–1048.

    Article  MathSciNet  Google Scholar 

  • Pessim, P. S. P., Peixoto, M. L. C., Palhares, R. M., & Lacerda, M. J. (2021). Static output-feedback control for cyber-physical LPV systems under DoS attacks. Information Sciences, 563, 241–255.

    Article  MathSciNet  Google Scholar 

  • Qi, Y., Tang, Y., Zhao, X., Xing, N., & Qiu, J. (2023). Dual event-triggered control for asynchronous scheduling parameter varying networked switched systems under DoS attacks. IEEE Systems Journal, 17(4), 5854–5865.

    Article  ADS  Google Scholar 

  • Rotondo, D., Sánchez, H. S., Puig, V., Escobet, T., & Quevedo, J. (2019). A virtual actuator approach for the secure control of networked LPV systems under pulse-width modulated DoS attacks. Neurocomputing, 365, 21–30.

    Article  Google Scholar 

  • Schenato, L. (2009). To zero or to hold control inputs with lossy links? IEEE Transactions on Automatic Control, 54(5), 1093–1099.

    Article  MathSciNet  Google Scholar 

  • Schenato, L., Sinopoli, B., Franceschetti, M., Poolla, K., & Sastry, S. S. (2007). Foundations of control and estimation over lossy networks. Proceedings of the IEEE, 95(1), 163–187.

    Article  Google Scholar 

  • Seuret, A., & Gouaisbaut, F. (2013). Wirtinger-based integral inequality: Application to time-delay systems. Automatica, 49(9), 2860–2866.

    Article  MathSciNet  Google Scholar 

  • Teixeira, A., Shames, I., Sandberg, H., & Johansson, K. H. (2015). A secure control framework for resource-limited adversaries. Automatica, 51, 135–148.

    Article  MathSciNet  Google Scholar 

  • Wang, H. O., Tanaka, K., & Griffin, M. F. (1996). An approach to fuzzy control of nonlinear systems: Stability and design issues. IEEE Transactions on Fuzzy Systems, 4(1), 14–23.

    Article  Google Scholar 

  • Wie, B., & Bernstein, D. S. (1992). Benchmark problems for robust control design. Journal of Guidance, Control, and Dynamics, 15(5), 1057–1059.

  • Wu, J., Peng, C., Zhang, J., Yang, M., & Zhang, B. L. (2020). Guaranteed cost control of hybrid-triggered networked systems with stochastic cyber-attacks. ISA Transactions, 104, 84–92.

    Article  PubMed  Google Scholar 

  • Xing, M., Wang, Y., Zhuang, G., & Chen, F. (2021). Event-based asynchronous and resilient filtering for singular Markov jump LPV systems against deception attacks. Applied Mathematics and Computation, 403, 126176.

    Article  MathSciNet  Google Scholar 

  • Xing, M., Wang, Y., Zhuang, G., & Zhang, M. (2021). Dynamic event-based dissipative asynchronous control for T–S fuzzy singular Markov jump LPV systems against deception attacks. Nonlinear Dynamics, 103, 1709–1731.

    Article  Google Scholar 

  • Xing, M., Wu, Y., Zhuang, G., & Wang, Y. (2023). Dynamic event-based sliding mode security control for singular semi-Markov jump LPV systems against deception attacks. ISA Transactions, 133, 116–133.

    Article  PubMed  Google Scholar 

  • Xu, W., Ma, K., Trappe, W., & Zhang, Y. (2006). Jamming sensor networks: Attack and defense strategies. IEEE Network, 20(3), 41–47.

    Article  Google Scholar 

  • Zhang, T., Wang, H., Che, W., & Li, Q. (2023). Adaptive event-triggered path following control for networked autonomous vehicles under aperiodic denial-of-service attacks. Journal of Control and Decision.

Download references

Acknowledgements

An early version of the paper was presented at XXIV Congresso Brasileiro de Automática (CBA 2022). This work was supported by the Brazilian agencies CNPq (Grant Numbers: 150602/2022-7; 305578/2022-7; 141252/2021-9) and FAPEMIG (Grant Number: APQ-00691-23).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Reinaldo M. Palhares.

Ethics declarations

Conflict of interest

The authors declare that they have no conflict of interest.

Additional information

Publisher's Note

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

Rights and permissions

Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Peixoto, M.L.C., Pessim, P.S.P., Coutinho, P.H.S. et al. Event-Triggered Control for LPV Systems Under Hybrid Cyberattacks. J Control Autom Electr Syst 35, 252–265 (2024). https://doi.org/10.1007/s40313-024-01073-1

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s40313-024-01073-1

Keywords

Navigation