×

Asynchronous secure controller design for singularly perturbation stochastic semi-Markov jump CPSs with the memory-based dynamic event-triggered scheme against complex cyber-attacks. (English) Zbl 1522.93132

Summary: In this paper, the problem of asynchronous secure controller design for singular perturbation stochastic semi-Markov jump systems (SPSS-MJSs) against complicated cyber-attacks is addressed. Firstly, the unified framework for multi-channel spoofing attacks and DoS attacks is properly established for CPSs with the unreliable communication network. Then, by introducing a register, we propose the memory-based dynamic event-triggered scheme (MDETS), which can save resources for the bandwidth limited network to a certain degree. Since the mode information of Markov chain for the secure controller is often unavailable, a hidden Markov model (HMM) is used to formulate the asynchronous situation between the mode of original system and the constructed controller. Further, by constructing Lyapunov functionals and utilizing linear matrix inequality (LMI) techniques, the obtained closed-loop SPSS-MJSs are endowed with an exponential stability criterion. And the co-design of the asynchronous secure controller and MDETS is presented. Finally, a practical example of the specific small capacitance circuit system is offered to verify the feasibility and superiority of the developed method.

MSC:

93C70 Time-scale analysis and singular perturbations in control/observation systems
93E03 Stochastic systems in control theory (general)
93C65 Discrete event control/observation systems
93B70 Networked control
93C83 Control/observation systems involving computers (process control, etc.)
Full Text: DOI

References:

[1] Marais, J.; Nahimana, D.-F.; Viandier, N.; Duflos, E., GNSS accuracy enhancement based on pseudo range error estimation in an urban propagation environment, Expert Syst Appl, 40, 1, 5956-5964 (2013)
[2] Rao, Ruofeng; Zhong, Shouming, Impulsive control on delayed feedback chaotic financial system with Markovian jumping, Adv Difference Equ (2020) · Zbl 1487.93018
[3] ChangWang, Bing; FengZhang, Ji, Distributed output feedback control of Markov jump multi-agent systems, Automatica, 49, 1, 1397-1402 (2013) · Zbl 1319.93072
[4] Zhang, Lingling; Yao, Xiuming, Anti-disturbance control for robot arm based on a nonlinear semi-Markov jump system model, (2020 Chinese automation congress (2020), IEEE)
[5] DanYe; XiangYang; LeiSu, Fault-tolerant synchronization control for complex dynamical networks with semi-Markov jump topology, Appl Math Comput, 312, 36-48 (2017) · Zbl 1426.93362
[6] Qi, Wenhai; Zong, Guangdeng; Hou, Yakun; Chadli, Mohammed, SMC for discrete-time nonlinear semi-Markovian switching systems with partly unknown semi-Markov kernel, IEEE Trans Automat Control, 68, 3, 1855-1861 (2023) · Zbl 07743801
[7] Qi, Wenhai; Gao, Xianwen; Ahn, Choon Ki; Cao, Jinde; Cheng, Jun, Fuzzy integral sliding-mode control for nonlinear semi-Markovian switching systems with application, IEEE Trans Syst, Man, Cybern: Syst, 52, 3, 1674-1683 (2022)
[8] Qi, Wenhai; Yang, Xu; Park, Ju H.; Cao, Jinde; Cheng, Jun, Fuzzy SMC for quantized nonlinear stochastic switching systems with semi-Markovian process and application, IEEE Trans Cybern, 52, 9, 9316-9325 (2022)
[9] JiaKuan, Xia; Xin, Mi, Bifurcation analysis for power system voltage stability based on singular perturbation method, Int Conf Electr Mach Syst (2007)
[10] Ding, Youshuang; Xiao, Xi, Speed control and resonance suppression of flexible joint system based on singular perturbation method and Kalman filter, Conf IEEE Ind Electron Soc (2016)
[11] Liu, Yaru; Liu, Shenquan; Kurths, Jürgen, Computational singular perturbation method for the non-standard FitzHugh-Nagumo system, Europhys Lett, 139, 3 (2022)
[12] Dobrila, Škatarić; Nada, Ratković-Kovačević, The system order reduction via balancing in view of the method of singular perturbation, FME Trans, 38, 181-187 (2010) · Zbl 1205.93008
[13] Selvakumar, K., A computational procedure for solving singular perturbation problems arising in control system using shooting method, Int J Comput Sci Math, 3, 1-10 (2011)
[14] XianzhongChen; Heidarinejad, Mohsen; Liua, Jinfeng; de la Peña, David Muñoz; D. Christofides, Panagiotis, Model predictive control of nonlinear singularly perturbed systems: Application to a large-scale process network, J Process Control, 21, 1296-1305 (2011)
[15] Moreno-Valenzuela, Javier; González-Hernández, Luis, Operational space trajectory tracking control of robot manipulators endowed with a primary controller of synthetic joint velocity, ISA Trans, 50, 131-140 (2011)
[16] Markowich, P. A.; Ringhofer, C. A.; Selberherr, S.; Lentini, M., A singular perturbation approach for the analysis of the fundamental semiconductor equations, IEEE Trans Electron Devices, 30, 1165-1180 (2005)
[17] Qi, Wenhai; Zhang, Can; Zong, Guangdeng; Su, Shun-Feng; Chadli, Mohammed, Finite-time event-triggered stabilization for discrete-time fuzzy Markov jump singularly perturbed systems, IEEE Trans Cybern, 1-10 (2022)
[18] Salerno, J., Panel on cyber physical systems challenges with information fusion: Control systems - examples of cyber-physical systems, Conf Signal Process, Sensor/Inf Fusion, Target Recogn XXV (2016)
[19] Liu, Shudong; Liu, Kan; Xia, Song, Trip-CPS: Smart trip cyber-physical system based on data fusion and cloud computing, Int Conf Comput Technol, Electron Commun, 19-21 (2017)
[20] Chen, Cailian; Yan, Jing; Lu, Ning; Wang, Yiyin; Yang, Xian; Guan, Xinping, Ubiquitous monitoring for industrial cyber-physical systems over relay- assisted wireless sensor networks, IEEE Trans Emerg Top Comput, 3, 3, 352-362 (2015)
[21] Lendvay; Ronald, L., Shadows of stuxnet: recommendations for U.S. policy on critical infrastructure cyber defense derived from the stuxnet attack, Homel Secur Digital Libr (2016)
[22] Badihi, Hamed; Jadidi, Saeedreza; Yu, Ziquan; Zhang, Youmin; Lu, Ningyun, Diagnosis and mitigation of smart cyber-attacks on an offshore wind farm network operator, (The 4th IEEE international conference on industrial cyber physical systems (2021), IEEE), 10-12
[23] Maheshwari, Ritu; Krishna, C. Rama; Brahma, M. Sridhar, Defending network system against IP spoofing based distributed dos attacks using DPHCF-RTT packet filtering technique, Int Conf Issues Chall Intell Comput Techn, 7-8 (2014)
[24] Zeng, Pengyu; Deng, Feiqi; Liu, Xiaohua; Gao, Xiaobin, Event-triggered h infinity control for network-based uncertain Markov jump systems under DoS attacks, J Franklin Inst B, 358, 1, 2895-2914 (2021) · Zbl 1464.93049
[25] Zhang, Taimin; Wang, Yinan; Liang, Xiao; Zhuang, Zhou; Xu, Wenyuan, Cyber attacks in cyber-physical power systems: A case study with GPRS-based SCADA systems, (2017 29th Chinese control and decision conference (CCDC) (2017), IEEE), 28-30
[26] E., Kargl F.; R., Veldhuis; Y., Petit J., Practical cyber-attacks on autonomous vehicles, Math Comput Sci (2015)
[27] Jiao, Y. J.; Gao, Y., Analysis of the data packet loss in networked control, Modern Comput (2012)
[28] Iyengar, M. Sriram; Singhal, Mukesh, Effect of network latency on load sharing in distributed systems, J Parallel Distrib Comput, 66, 6, 839-853 (2006) · Zbl 1101.68414
[29] Besserve, Michel; Martinerie, Jacques; Garnero, Line, Improving quantification of functional networks with EEG inverse problem: Evidence from a decoding point of view, Neuroimage, 55, 1536-1547 (2011)
[30] Liu, W.; He, R.; Lu, W.; Ke, T., A research on AMT gear shift control strategy based on event trigger, Automot Eng (2014)
[31] Zou, S.; Gao, Y.; Peng, L., Research and design of event-driven control strategy for stochastic systems, Comput Eng Appl (2019)
[32] Shen, Wei; Liu, Shuai; Liu, Ming, Adaptive sliding mode control of hydraulic systems with the event trigger and finite-time disturbance observer - ScienceDirect, Inform Sci, 569, 55-69 (2021) · Zbl 1530.93210
[33] Zhang, Hong; Chen, Changshun; Wei, Feng, Observer-based leader-following consensus of general linear multiagent systems based on novel event trigger mechanism with input time delay under directed graphs, Complexit, 2021, 1-14 (2021)
[34] Tao, Jie; Xiao, Zehui; Li, Zeyu; Wu, Jun; Lu, Renquan; Shi, Peng, Dynamic event-triggered state estimation for Markov jump neural networks with partially unknown probabilities, IEEE Trans Neural Netw Learn Syst, 33, 12, 7438-7447 (2022)
[35] Ge, Xiaohua; Han, Qing-Long; Wang, Zidong, A dynamic event-triggered transmission scheme for distributed set-membership estimation over wireless sensor networks, IEEE Trans Cybern, 49, 1, 171-183 (2019)
[36] Wu, Zhenyu; Chen, Jiawei; Zhang, Xuexi; Xiao, Zehui; Tao, Jie; Wang, Xiaofeng, Dynamic event-triggered synchronization of complex networks with switching topologies: Asynchronous observer-based case, Appl Math Comput, 435, Article 127413 pp. (2022) · Zbl 1510.93110
[37] Li, Qi; Shen, Bo; Wang, Zidong; Huang, Tingwen; Luo, Jun, Synchronization control for a class of discrete time-delay complex dynamical networks: A dynamic event-triggered approach, IEEE Trans Cybern, 49, 5, 1979-1986 (2019)
[38] Wang, Jia; Zhang, Xian-Ming; Yufeng Lin, Xiaohua Ge; Han, Qing-Long, Event-triggered dissipative control for networked stochastic systems under non-uniform sampling, Inform Sci, 447, 216-228 (2018) · Zbl 1448.93214
[39] Wang, Zhen; Xie, Yingkang; Lu, Junwei; Li, Yuxia, Stability and bifurcation of a delayed generalized fractional-order prey-predator model with interspecific competition, Appl Math Comput, 347, 360-369 (2019) · Zbl 1428.92094
[40] Liu, Yajuan; Guo, Bao-Zhu; Park, Ju H.; Lee, Sangmoon, Event-based reliable dissipative filtering for T-S fuzzy systems with asynchronous constraints, IEEE Trans Fuzzy Syst, 26, 2089-2098 (2017)
[41] Wang, Yanqian; Zhuang, Guangming; Song, Gongfei, Dynamic event-based asynchronous and resilient dissipative filtering for T-S fuzzy Markov jump singularly perturbed systems against deception attacks, Int J Fuzzy Syst, 24, 3, 1491-1514 (2022) · Zbl 1510.93334
[42] Wang, Yanqian; Fu, Chen; Zhuang, Guangming; Song, Gongfei, Event-based asynchronous and resilient filtering for Markov jump singularly perturbed systems against deception attacks, ISA Trans, 112, 56-73 (2021)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.