This article focuses on a class of distributed security estimation for cyber-physical systems against denial-of-service attacks. First, an energy-constrained periodic denial-of-service jamming attack model and a Markov stochastic process-based switching topology model are developed. Then, Bernoulli random variables are applied to indicate whether measurement and estimation between nodes are successfully transmitted, where the data loss phenomenon is subject to denial-of-service attacks and inherent network properties. With the help of Lyapunov functions and linear matrix inequalities, sufficient conditions are established to guarantee that the error system satisfies exponentially mean-square stability and robust performance. Finally, two numerical simulation examples prove the effectiveness of the proposed distributed filtering method.
YaacoubJPASalmanONouraHN, et al. Cyber-physical systems security: limitations, issues and future trends. Microprocess Microsyst2020; 77: 103201.
2.
JabbarMASamreenSAluvaluR, et al. Cyber physical systems for smart cities development. Int J Eng Technol2018; 7(4): 36–38.
3.
AhmadiAMoradiMCherifiC, et al. Wireless connectivity of CPS for smart manufacturing: a survey. In: 12th international conference on software, knowledge, information management & applications (SKIMA), Phnom Penh, Cambodia, 3–5 December 2018, pp.1–8. New York: IEEE.
4.
RahmanZYiXKhalilI. Blockchain based AI-enabled industry 4.0 CPS protection against advanced persistent threat. IEEE Internet Things J. Epub ahead of print 28January2022. DOI: 10.1109/JIOT.2022.3147186.
5.
YuFDuttaRGZhangT, et al. Fast Attack-resilient distributed state estimator for cyber-physical systems. IEEE Trans Comput Des Integr Circuits Syst2020; 39(11): 3555–3565.
6.
ZhuFParkJHPengL. Adaptive event-triggered quantized communication-based distributed estimation over sensor networks with semi-Markovian switching topologies. IEEE Trans Signal Inf Process Over Networks2022; 8: 258–272.
7.
YuFHuYZhangT, et al. Resilient distributed estimator with information consensus for CPS security. In: 38th international conference on computer design (ICCD), Hartford, CT, USA, 18–21 October 2020, pp. 41–44. New York: IEEE.
8.
CombastelCZolghadriA. A distributed Kalman filter with symbolic zonotopes and unique symbols provider for robust state estimation in CPS. Int J Control2020; 93(11): 2596–2612.
9.
AoWSongYDWenCY. Distributed secure state estimation and control for CPSs under sensor attacks: a finite time approach. IEEE Trans Cybern2019; 45(1): 174–184.
10.
AlanwarASaidHAlthoffM.Distributed secure state estimation using diffusion Kalman filters and reachability analysis. In: 58th conference on decision and control (CDC), Nice, 11–13 December 2019, pp. 4133–4139. New York: IEEE.
11.
KhanUAStankovićAM.Secure distributed estimation in cyber-physical systems. In: International conference on acoustics, speech and signal processing, Vancouver, BC, Canada, 26–31 May 2013, pp. 5209–5213. New York: IEEE.
12.
MaRShiPWangZ, et al. Resilient filtering for cyber-physical systems under denial-of-service attacks. Int J Robust Nonlinear Control2020; 30(5): 1754–1769.
13.
SongHDingDDongH, et al. Distributed filtering based on Cauchy-kernel-based maximum correntropy subject to randomly occurring cyber-attacks. Automatica2022; 135: 110004.
14.
DingDTangZWangY, et al. Secure synchronization of complex networks under deception attacks against vulnerable nodes. Appl Math Comput2021; 399: 126017.
15.
CetinkayaAIshiiHHayakawaT. Networked control under random and malicious packet losses. IEEE Trans Automat Contr2017; 62(5): 2434–2449.
16.
ZhangHChengPShiL, et al. Optimal denial-of-service attack scheduling with energy constraint. IEEE Trans Automat Contr2015; 60(11): 3023–3028.
17.
ZhangHChengPShiL, et al. Optimal DoS attack scheduling in wireless networked control system. IEEE Trans Control Syst Technol2016; 24(3): 843–852.
18.
TianEWangXPengC. Probabilistic-constrained distributed filtering for a class of nonlinear stochastic systems subject to periodic DoS attacks. IEEE Trans Circuits Syst I Regul Pap2020; 67(12): 5369–5379.
19.
SongHDingDDongH, et al. Distributed entropy filtering subject to DoS attacks in non-Gauss environments. Int J Robust Nonlinear Control2020; 30(3): 1240–1257.
20.
WenGYuXYuW, et al. Coordination and control of complex network systems with switching topologies: a survey. IEEE Trans Syst Man, Cybern Syst2020; 51(10): 6342–6357.
21.
HuJWangZLiuGP, et al. Event-triggered recursive state estimation for dynamical networks under randomly switching topologies and multiple missing measurements. Automatica2020; 115: 108908.
22.
XuGShenWWangX. Applications of wireless sensor networks in marine environment monitoring: a survey. Sensors2014; 14(9): 16932–16954.
23.
UgrinovskiiV. Distributed robust estimation over randomly switching networks using H∞ consensus. Automatica2013; 49(1): 160–168.
24.
YanHYangQZhangH, et al. Distributed H∞ state estimation for a class of filtering networks with time-varying switching topologies and packet losses. IEEE Trans Syst Man, Cybern Syst2018; 48(12): 2047–2057.
25.
YangFHanQLLiuY. Distributed H∞ state estimation over a filtering network with time-varying and switching topology and partial information exchange. IEEE Trans Cybern2019; 49(3): 870–882.
26.
LiuBZhangXMHanQL. Event-triggered distributed H∞ filtering for networked systems with switching topologies. In: 13th international conference on industrial informatics (INDIN), Cambridge, UK, 22–24 July 2015, pp. 162–167. New York: IEEE.
27.
JiHZhangHCuiB. Event-triggered H∞ filtering control for a class of distributed parameter systems with Markovian switching topology. J Franklin Inst2018; 355(13): 5928–5956.
28.
SongWZhangHYanH, et al. Distributed event triggered.∞ filtering with nonhomogeneous Markov switching topologies. In: 11th international conference on control (CONTROL), Belfast, 31 August–2 September 2016, pp.1–6. New York: IEEE.
29.
MastaniERahmaniM. Dynamic output feedback control for networked systems subject to communication delays, packet dropouts, and quantization. J Franklin Inst2021; 358(8): 4303–4325.
30.
GuoYLiJ. Network-based quantized H∞ control for T–S fuzzy singularly perturbed systems with persistent dwell-time switching mechanism and packet dropouts. Nonlinear Anal Hybrid Syst2021; 42: 101060.
31.
YuanHXiaYYangH. Resilient state estimation of cyber-physical system with multichannel transmission under DoS attack. IEEE Trans Syst Man, Cybern Syst2020; 51(11): 6926–6937.
32.
SunYCYangGH. Event-triggered distributed state estimation for multiagent systems under DoS attacks. IEEE Trans Cybern2020; 52: 6901–6910.
33.
LiXWeiGDingD. Distributed resilient interval estimation for sensor networks under aperiodic denial-of-service attacks and adaptive event-triggered protocols. Appl Math Comput2021; 409: 126371.
34.
BuXDongHHanF, et al. Distributed filtering for time-varying systems over sensor networks with randomly switching topologies under the Round-Robin protocol. Neurocomputing2019; 346: 58–64.
35.
LiYShiLChengP, et al. Jamming attacks on remote state estimation in cyber-physical systems: a game-theoretic approach. IEEE Trans Automat Contr2015; 60(10): 2831–2836.
36.
ShishehForoush HMartinezS. On event-triggered control of linear systems under periodic denial-of-service jamming attacks. In: 51th IEEE conference on decision and control (CDC), Maui, HI, USA, 10–13 December 2012, pp. 2551–2556. New York: IEEE.
37.
YuanYYuanHGuoL, et al. Resilient control of networked control system under DoS attacks: a unified game approach. IEEE Trans Ind Informatics2016; 12(5): 1786–1794.
38.
ManjuVCSasiKM. Detection of jamming style DoS attack in wireless sensor network. In: 2th IEEE international conference on parallel, distributed and grid computing, Solan, India, 6–8 December 2012, pp. 563–567. New York: IEEE.
39.
YangFWangZHungYS, et al. H∞ control for networked control systems with random communication delays. IEEE Trans Automat Contr2006; 51(3): 511–518.
40.
de OliveiraMCBernussouJGeromelJC. A new discrete-time robust stability condition. Syst Control Lett1999; 37(4): 261–265.
41.
ZhangDYuLSongH, et al. Distributed H∞ filtering for sensor networks with switching topology. Int J Syst Sci2013; 44(11): 2104–2118.
42.
HuSYueDChengZ, et al. Co-design of dynamic event-triggered communication scheme and resilient observer-based control under aperiodic DoS attacks. IEEE Trans Cybern2020; 51(9): 4591–4601.
