Abstract
This paper is concerned with the problem of adaptive event-triggered control for networked switched T-S fuzzy systems under false data injection attacks. In order to reduce unnecessary data transmission, an adaptive event-triggering mechanism is proposed, which can dynamically change triggering conditions based on system performance needs. In particular, due to the consideration of network safety, the system will be subjected to the impacts from both attack delays and network transmission delays. Then, by a delay system transformation approach, a time-delay closed-loop switched T-S fuzzy system is obtained. Moreover, by utilizing average dwell time technique, stability conditions are developed for the closed-loop system with the adaptive event-triggering mechanism and false data injection attacks. In addition, a co-design of adaptive event-triggering parameters and controller gains is given. Finally, simulation results are provided to verify the effectiveness of the designed method.
Similar content being viewed by others
References
Y. P. Shen, W. A. Zhang, H. J. Ni, D. Zhang, and L. Yu, “Guaranteed cost control of networked control systems with DoS attack and time-varying delay,” International Journal of Control, Automation and Systems, vol. 17, no. 4, pp. 811–821, April 2019.
C. P. Yu, J. Chen, and M. Verhaegen, “Subspace identification of individual systems in a large-scale heterogeneous network,” Automatica, vol. 109, pp. 108517, November 2019.
C. P. Yu, L. Ljung, A. Wills, and M. Verhaegen, “Constrained subspace method for the identification of structured state-space models,” IEEE Transactions on Automatic Control, December 2019. DOI: 10.1109/tac.2019.2957703
B. Wang, J.-E. Feng, and M. Meng, “Matrix approach to detectability of discrete event systems,” Journal of the Franklin Institute, vol. 356, no. 12, pp. 6460–6477, August 2019.
W. S. Lin, X. M. Li, D. Y. Yao, X. B. Gao, and Q. Zhou, “Observer-based event-triggered sliding mode control for markov jump systems with partially unknown transition probabilities,” International Journal of Control, Automation and Systems, vol. 17, no. 7, pp. 1626–1633, July 2019.
Y. W. Qi, Y. H. Liu, and Q. X. Zhang, “Dynamic output feedback L∞ control for network-based switched linear systems with performance dependent event-triggering strategies,” IET Control Theory & Applications, vol. 13, no. 9, pp. 1258–1270, June 2019.
C. Peng, J. Zhang, and H. C. Yan, “Adaptive event-triggering H∞ load frequency control for network-based power systems,” IEEE Transactions on Industrial Electronics, vol. 65, no. 2, pp. 1685–1694, February 2018.
J. L. Liu, L. L. Wei, X. P. Xie, E. G. Tian, and S. M. Fei, “Quantized stabilization for T-S fuzzy systems with hybrid-triggered mechanism and stochastic cyber-attacks,” IEEE Transactions on Fuzzy Systems, vol. 26, no. 6, pp. 3820–3834, December 2018.
Y. W. Qi, Z. Cao, and X. L. Li, “Decentralized event-triggered H∞ control for switched systems with network communication delay,” Journal of the Franklin Institute, vol. 356, no. 3, pp. 1424–1445, February 2019.
L. Li, D. D. Yu, Y. Q. Xia, and H. J. Yang, “Remote nonlinear state estimation with stochastic event-triggered sensor schedule,” IEEE Transactions on Cybernetics, vol. 49, no. 3, pp. 734–745, March 2019.
A. Selivanov and E. Fridman, “Event-triggered H∞ control: A switching approach,” IEEE Transactions on Automatic Control, vol. 61, no. 10, pp. 3221–3226, October 2016.
Y. W. Qi, P. Y. Zeng, and W. Bao, “Event-triggered and self-triggered H∞ control of uncertain switched linear systems,” IEEE Transactions on Systems, Man, and Cybernetics: Systems, vol. 50, no. 4, pp. 1442–1454, 2020.
M. Meng, J. Lam, J.-E. Feng, and K. C. Cheung, “Stability and guaranteed cost analysis of time-triggered boolean networks,” IEEE Transactions on Neural Networks and Learning Systems, vol. 29, no. 8, pp. 3893–3899, August 2018.
Y. Y. Yu, M. Meng, J.-E. Feng, and Y. Gao, “An adjoint network approach to design stabilizable switching signals of switched Boolean networks,” Applied Mathematics and Computation, vol. 357, pp. 12–22, September 2019.
J. Li, W. Li, and Q. Y. Su, “Stability analysis for state-constrained switched systems with all subsystems unstable,” International Journal of Control, Automation and Systems, vol. 17, no. 10, pp. 2482–2489, October 2019.
M. Meng, J. Lam, J.-E. Feng, X. D. Zhao, and X. M. Chen, “Exponential stability analysis and l1 synthesis of positive T-S fuzzy systems with time-varying delays,” Nonlinear Analysis: Hybrid Systems, vol. 24, pp. 186–197, May 2017.
X. J. Su, F. Q. Xia, Y.-D. Song, M. V. Basin, and L. Zhao, “L2-L∞ output feedback controller design for fuzzy systems over switching parameters,” IEEE Transactions on Fuzzy Systems, vol. 26, no. 6, pp. 3755–3769, December 2018.
S. L. Du and J. F. Qiao, “Stability analysis and L1-gain controller synthesis of switched positive T-S fuzzy systems with time-varying delays,” Neurocomputing, vol. 275, pp. 2616–2623, January 2018.
A. Teixeira, I. Shames, H. Sandberg, and K. H. Johansson, “A secure control framework for resource-limited adversaries,” Automatica, vol. 51, pp. 135–148, January 2015.
Y. Z. Li, D. W. Shi, and T. W. Chen, “False data injection attacks on networked control systems: A stackelberg game analysis,” IEEE Transactions on Automatic Control, vol. 63, no. 10, pp. 3503–3509, October 2018.
W. Yang, Y. Zhang, G. R. Chen, C. Yang, and L. Shi, “Distributed filtering under false data injection attacks,” Auto-matica, vol. 102, pp. 34–44, April 2019.
Y. G. Li and G. H. Yang, “Optimal stealthy false data injection attacks in cyber-physical systems,” Information Sciences, vol. 481, pp. 474–490, May 2019.
L. Yu, X. M. Sun, and T. J. Sui, “False-data injection attack in electricity generation system subject to actuator saturation: Analysis and design,” IEEE Transactions on Systems, Man, and Cybernetics: Systems, vol. 49, no. 8, pp. 1712–1719, August 2019.
Y. Y. Wang, H. R. Karimi, and H. C. Yan, “An adaptive event-triggered synchronization approach for chaotic lur’e systems subject to aperiodic sampled data,” IEEE Transactions on Circuits and Systems II: Express Briefs, vol. 66, no. 3, pp. 442–446, March 2019.
J. Xiong and J. Lam, “Stabilization of networked control systems with a logic ZOH,” IEEE Transactions on Automatic Control, vol. 54, no. 2, pp. 358–363, February 2009.
K. Gu, V. Kharitonov, and J. Chen, Stability of Time-Delay Systems, Birkhauser, Boston, MA, USA, 2003.
J. Hespanha and A. Morse, “Stability of switched systems with average dwell time,” IEEE Conference on Decision and Control, pp. 2655–2660, December 1999.
L. G. Wu and J. Lam, “Weighted H∞ filtering of switched systems with time-varying delay: Average dwell time approach,” Circuits Systems Signal Processing, vol. 28, no. 6, pp. 1017–1036, August 2009.
J. Lian, C. Li, and B. Xia, “Sampled-data control of switched linear systems with application to an F-18 aircraft,” IEEE Transactions on Industrial Electronics, vol. 64, no. 2, pp. 1332–1340, February 2017.
H. L. Ren, G. D. Zong, and H. R. Karimi, “Asynchronous finite-time filtering of networked switched systems and its application: An event-driven method,” IEEE Transactions on Circuits and Systems I: Regular Papers, vol. 66, no. 1, pp. 391–402, January 2019.
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher’s Note Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Recommended by Associate Editor Jun Yoneyama under the direction of Editor Euntai Kim. This work was supported in part by the National Natural Science Foundation of China (grant numbers 61873172, 61811530036, 61403261, 61703148), the Overseas Training Program of Universities in Liaoning (grant number 2019GJWYB008), the Liaoning Revitalization Talents Program (grant number XLYC1807101), the Natural Science Foundation of Liaoning Province (grant number 20180550517), the Liaoning BaiQianWan Talents Program (grant number 2018-B-20), the Natural Science Foundation of Heilongjiang Province (grant number F2017023), and the Open Fund of Science and Technology on Thermal Energy and Power Laboratory (grant number TPL2017CA005).
Yiwen Qi received his Ph.D. degree from Harbin Institute of Technology, Harbin, China, in 2012. From 2015 to 2016, he was a Post-Doctoral Fellow at University of Groningen, Groningen, the Netherlands. He is currently a Professor at the School of Automation, Shenyang Aerospace University, Shenyang, China. His research interests include analysis and synthesis of switched control systems, event-triggered control, AI control, and their applications in flight vehicle and aero-engines.
Shuo Yuan received his B.Eng. degree from North China Institute of Science & Technology, Langfang, China, in 2017. He is currently pursuing towards an M.Eng. degree at Shenyang Aerospace University, Shenyang, China. His research interests include event-triggered control and switched fuzzy systems.
Xin Wang received his Ph.D. degree from Northeastern University, Shenyang, China, in 2016. He is currently a Lecturer at the School of Mathematical Science, Heilongjiang University, Harbin, China, and also a Post-Doctoral Fellow at Yeung-nam University, Gyeongsan, Korea. His research interests include fault diagnosis, fault-tolerant control, multiagent coordination, and time-delay systems.
Rights and permissions
About this article
Cite this article
Qi, Y., Yuan, S. & Wang, X. Adaptive Event-triggered Control for Networked Switched T-S Fuzzy Systems Subject to False Data Injection Attacks. Int. J. Control Autom. Syst. 18, 2580–2588 (2020). https://doi.org/10.1007/s12555-019-0742-9
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s12555-019-0742-9