Abstract
This article considers the event-based security control problem for an interconnected system with Markovian switching topologies, where the Markovian process governs the switching of the communication topologies. Considering the effect of transmission constraints on control design, a Bernoulli-distributed variable is utilized to formulate the random network attacks. A sampling-data-based event-triggered communication mechanism is presented to decrease unnecessary transmission, where the average data-releasing rate can be decreased greatly. Considering the effects of deception attacks and event-triggered mechanism simultaneously, an observer-based switched control system model is established. By combining this new model and employing the proper Lyapunov–Krasovskii functional, some sufficient criterions are derived such that the closed-loop error system is exponentially mean-square stable with the desired disturbance attenuation, and the controller and observer gain matrices will be tackled simultaneously via the solution of linear matrix inequalities. Finally, this article employs a simulation example to verify the availability of proposed methods.
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References
Z. Chen, Z. Cao, Q. Huang, S.L. Campbell, Decentralized observer-based reliable control for a class of interconnected Markov jumped time-delay system subject to actuator saturation and failure. Circuits Syst. Signal Process. 37(11), 4728–4752 (2018)
Z. Chen, J. Tan, X. Wang, Z. Cao, Decentralized finite-time \({L_2-L_\infty }\) tracking control for a class of interconnected Markovian jump system with actuator saturation. ISA Trans. 96, 69–80 (2020)
Y. Cui, M. Fei, D. Du, Event-triggered \({H_\infty }\) Markovian switching pinning control for group consensus of large-scale systems. IET Gener. Transm. Distrib. 10(11), 2565–2575 (2016)
F. Da, Decentralized sliding mode adaptive controller design based on fuzzy neural networks for interconnected uncertain nonlinear systems. IEEE Trans. Neural Netw. 11(6), 1471–1480 (2000)
D. Ding, Z. Wang, Q. Han, G. Wei, Security control for discrete-time stochastic nonlinear systems subject to deception attacks. IEEE Trans. Syst. Man Cybern. Syst. 48(5), 779–789 (2016)
W. Gao, Y. Jiang, Z. Jiang, T. Chai, Output-feedback adaptive optimal control of interconnected systems based on robust adaptive dynamic programming. Automatica 72, 37–45 (2016)
R. Gao, G. Yang, Resilient decentralized sampled-data \({H_\infty }\) filter design for linear interconnected systems subject to denial-of-service attacks. Inf. Sci. 538
E. Garcia, P.J. Antsaklis, Model-based event-triggered control for systems with quantization and time-varying network delays. IEEE Trans. Autom. Control 58(2), 422–434 (2012)
X. Ge, Q. Han, Consensus of multiagent systems subject to partially accessible and overlapping Markovian network topologies. IEEE Trans. Cybern. 47(8), 1807–1819 (2016)
Z. Gu, P. Shi, D. Yue, Z. Ding, Decentralized adaptive event-triggered \({H_\infty }\) filtering for a class of networked nonlinear interconnected systems. IEEE Trans. Cybern. 49(5), 1570–1579 (2018)
G. Guo, Linear systems with medium-access constraint and Markov actuator assignment. IEEE Trans. Circuits Syst. I Regul. Pap. 57(11), 2999–3010 (2010)
W. He, X. Gao, W. Zhong, F. Qian, Secure impulsive synchronization control of multi-agent systems under deception attacks. Inf. Sci. 459, 354–368 (2018)
K.W. Hedman, R.P. O’Neill, E.B. Fisher, S.S. Oren, Optimal transmission switching with contingency analysis. IEEE Trans. Power Syst. 24(3), 1577–1586 (2009)
M. Heydari, M.A. Demetriou, Adaptive distributed unknown input observers for interconnected linear descriptor systems. Int. J. Syst. Sci. 48(1), 182–189 (2017)
Z. Hu, Decentralized stabilization of large scale interconnected systems with delays. IEEE Trans. Autom. Control 39(1), 180–182 (1994)
Q. Liu, Z. Wang, X. He, D. Zhou, Event-based distributed filtering over Markovian switching topologies. IEEE Trans. Autom. Control 64(4), 1595–1602 (2018)
J. Liu, Y. Gu, L. Zha, Y. Liu, J. Cao, Event-triggered \( {H_\infty }\) load frequency control for multiarea power systems under hybrid cyber attacks. IEEE Trans. Syst. Man Cybern. Syst. 49(8), 1665–1678 (2019)
Y.-X. Li, S. Tong, G.-H. Yang, Observer-based adaptive fuzzy decentralized event-triggered control of interconnected nonlinear system. IEEE Trans. Cybern. 50(7), 3104–3112 (2019)
Q. Liu, Y. Tan, X. Xie, D. Du, S. Fei, Composite anti-disturbance quantized control for interconnected semi-Markovian systems with multiple disturbances and actuator faults. J. Frankl. Inst. (2022). https://doi.org/10.1016/j.jfranklin.2022.01.019
V. Narayanan, S. Jagannathan, Event-triggered distributed control of nonlinear interconnected systems using online reinforcement learning with exploration. IEEE Trans. Cybern. 48(9), 2510–2519 (2017)
B. Niu, H. Li, Z. Zhang, J. Li, T. Hayat, F.E. Alsaadi, Adaptive neural-network-based dynamic surface control for stochastic interconnected nonlinear nonstrict-feedback systems with dead zone. IEEE Trans. Syst. Man Cybern. Syst. 49(7), 1386–1398 (2018)
B. Niu, W. Chen, W. Su, H. Wang, D. Wang, X. Zhao, Switching event-triggered adaptive resilient dynamic surface control for stochastic nonlinear CPSS with unknown deception attacks. IEEE Trans. Cybern. (2022). https://doi.org/10.1109/TCYB.2022.3209694
A. Parivallal, R. Sakthivel, R. Amsaveni, F. Alzahrani, A.S. Alshomrani, Observer-based memory consensus for nonlinear multi-agent systems with output quantization and Markov switching topologies. Phys. A Stat. Mech. Appl. 551, 123949 (2020)
W. Qi, Y. Hou, G. Zong, C.K. Ahn, Finite-time event-triggered control for semi-Markovian switching cyber-physical systems with fdi attacks and applications. IEEE Trans. Circuits Syst. I Regul. Pap. 68(6), 2665–2674 (2021)
N. Rong, Z. Wang, Event-based impulsive control of IT2 T-S fuzzy interconnected system under deception attacks. IEEE Trans. Fuzzy Syst. 29(6), 1615–1628 (2020)
M. Shen, J.H. Park, S. Fei, Event-triggered nonfragile \({H_\infty }\) filtering of Markov jump systems with imperfect transmissions. Signal Process. 149, 204–213 (2018)
D. Swaroop, J.K. Hedrick, String stability of interconnected systems. IEEE Trans. Autom. Control 41(3), 349–357 (1996)
Y. Tan, D. Du, Q. Qi, State estimation for Markovian jump systems with an event-triggered communication scheme. Circuits Syst. Signal Process. 36(1), 2–24 (2017)
Y. Tan, Q. Liu, D. Du, B. Niu, S. Fei, Observer-based finite-time \({H_\infty }\) control for interconnected fuzzy systems with quantization and random network attacks. IEEE Trans. Fuzzy Syst. 29(3), 674–685 (2019)
Y. Tan, Q. Liu, J. Liu, X. Xie, S. Fei, Observer-based security control for interconnected semi-Markovian jump systems with unknown transition probabilities. IEEE Trans. Cybern. 52(9), 9013–9025 (2022)
Y. Tong, D. Tong, Q. Chen, W. Zhou, Finite-time state estimation for nonlinear systems based on event-triggered mechanism. Circuits Syst. Signal Process. 39(9), 2020 (2020)
E. Tian, D. Yue, Decentralized fuzzy \({H_\infty }\) filtering for networked interconnected systems under communication constraints. Neurocomputing 185(185), 28–36 (2016)
E. Tian, C. Peng, Memory-based event-triggering \({H_\infty }\) load frequency control for power systems under deception attacks. IEEE Trans. Cybern. 50(11), 4610–4618 (2020)
A. Wang, T. Dong, X. Liao, Event-triggered synchronization strategy for complex dynamical networks with the Markovian switching topologies. Neural Netw. 74, 52–57 (2016)
H. Wang, G. Yang, Decentralized event-triggered \({H_\infty }\) control for affine fuzzy large-scale systems. IEEE Trans. Fuzzy Syst. 27(11), 2215–2226 (2019)
S. Wang, W. Ji, Y. Jiang, D. Liu, Relaxed stability criteria for neural networks with time-varying delay using extended secondary delay partitioning and equivalent reciprocal convex combination techniques. IEEE Trans. Neural Netw. Learn. Syst. 31(10), 4157–4169 (2019)
Z. Wu, P. Shi, H. Su, J. Chu, Stochastic synchronization of Markovian jump neural networks with time-varying delay using sampled data. IEEE Trans. Cybern. 43(6), 1796–1806 (2013)
S. Xiao, Q. Han, X. Ge, Y. Zhang, Secure distributed finite-time filtering for positive systems over sensor networks under deception attacks. IEEE Trans. Cybern. 50(3), 1220–1229 (2019)
R. Yang, S. Ding, W. X. Zheng, Co-design of event-triggered mechanism and dissipativity-based output feedback controller for two-dimensional systems. Automatica 130
W. Yang, Y. Jiang, X. He, Y. Zhu, S. Wang, Feasibility conditions-free prescribed performance decentralized fault-tolerant neural control of constrained large-scale systems. IEEE Trans. Syst. Man Cybern. Syst. (2022)
H. Yuan, Y. Xia, Secure filtering for stochastic non-linear systems under multiple missing measurements and deception attacks. IET Control Theory Appl. 12(4), 515–523 (2018)
H. Zhang, C. Dang, J. Zhang, Decentralized fuzzy \({H_\infty }\) filtering for nonlinear interconnected systems with multiple time delays. IEEE Trans. Syst. Man Cybern. 40(4), 1197–1203 (2010)
X. Zhang, K. Hengster-Movrić, M. Šebek, W. Desmet, C. Faria, Distributed observer and controller design for spatially interconnected systems. IEEE Trans. Control Syst. Technol. 27(1), 1–13 (2017)
K. Zhang, B. Jiang, P. Shi, Distributed fault estimation observer design with adjustable parameters for a class of nonlinear interconnected systems. IEEE Trans. Cybern. 49(12), 4219–4228 (2018)
L. Zhang, G. Yang, Observer-based adaptive decentralized fault-tolerant control of nonlinear large-scale systems with sensor and actuator faults. IEEE Trans. Ind. Electron. 66(10), 8019–8029 (2018)
M. Zhang, S. Dong, P. Shi, G. Chen, X. Guan, Distributed observer-based event-triggered load frequency control of multiarea power systems under cyber attacks. IEEE Trans. Autom. Sci. Eng. (2022). https://doi.org/10.1109/TASE.2022.3208016
Acknowledgements
This work was supported in part by the National Natural Science Foundation of China under Grant Nos. 61973152, 62273174, and 62022044, and in part by the Jiangsu Natural Science Foundation for Distinguished Young Scholars under Grant No. BK20190039.
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Tan, Y., Zhang, Q., Cheng, X. et al. Event-Based Security Control for Interconnected Systems with Markovian Switching Topologies. Circuits Syst Signal Process 42, 5924–5943 (2023). https://doi.org/10.1007/s00034-023-02404-4
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DOI: https://doi.org/10.1007/s00034-023-02404-4