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Observer-based adaptive event-triggered sliding mode control of saturated nonlinear networked systems with cyber-attacks. (English) Zbl 1478.93431

Summary: This paper investigates an observer-based adaptive event-triggered sliding mode control (SMC) problem for nonlinear networked systems subject to actuator and sensor saturation with cyber-attacks. First, an improved adaptive event triggering scheme is put forward to reduce the frequency of data communication between the networked system components, and thus the potential communication cost. It is revealed that the proposed scheme can achieve superior performance over some existing ones in terms of a significant reduction of events. Second, to simplify the design of the sliding surface, an observer with cyber-attacks is designed, which is used to estimate the system state. The state error system and sliding mode dynamics are then established as a closed-loop system accounting for the concurrent effects of cyber-attacks, saturation constraints. Furthermore, by making use of the Lyapunov-Krasovskii functional, sufficient criterions for guaranteeing both ultimately bounded stability and asymptotic stability of the closed-loop system with prescribed performance are derived. The reachability of sliding mode surface can be ensured by a sliding mode controller. Finally, a numerical example is used to show the effectiveness and superiority of proposed method.

MSC:

93C65 Discrete event control/observation systems
93C40 Adaptive control/observation systems
93B53 Observers
93B12 Variable structure systems
93C10 Nonlinear systems in control theory
93B70 Networked control
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[1] Zhang, X.-M.; Han, Q.-L.; Ge, X.; Ding, D.; Ding, L.; Yue, D.; Peng, C., Networked control systems: a survey of trends and techniques, IEEE/CAA J. Automatica Sin., 7, 1, 1-17 (2020)
[2] Zhang, D.; Shi, P.; Wang, Q.-G.; Yu, L., Analysis and synthesis of networked control systems: a survey of recent advances and challenges, ISA Trans., 66, 376-392 (2017)
[3] X.-M. Zhang, Q.-L. Han, X. Ge, L. Ding, Resilient control design based on a sampled-data model for a class of networked control systems under denial-of-service attacks, IEEE Trans. Cybern. (2019) in press.https://doi.org/10.1109/TCYB.2019.2956137.
[4] Ge, X.; Han, Q.-L.; Zhong, M.; Zhang, X.-M., Distributed Krein space-based attack detection over sensor networks under deception attacks, Automatica, 109, Article 108557 pp. (2019) · Zbl 1429.93135
[5] Li, L.; Zhang, H.; Xia, Y.; Yang, H., Security estimation under denial-of-service attack with energy constraint, Neurocomputing, 292, 111-120 (2018)
[6] Hu, L.; Wang, Z.; Han, Q.-L.; Liu, X., State estimation under false data injection attacks: security analysis and system protection, Automatica, 87, 176-183 (2018) · Zbl 1378.93119
[7] Heemels, W. H.; Donkers, M.; Teel, A. R., Periodic event-triggered control for linear systems, IEEE Trans. Autom. Control, 58, 4, 847-861 (2012) · Zbl 1369.93363
[8] Dimarogonas, D. V.; Frazzoli, E.; Johansson, K. H., Distributed event-triggered control for multi-agent systems, IEEE Trans. Autom. Control, 57, 5, 1291-1297 (2011) · Zbl 1369.93019
[9] Meng, X.; Chen, T., Event based agreement protocols for multi-agent networks, Automatica, 49, 7, 2125-2132 (2013) · Zbl 1364.93476
[10] Al-Areqi, S.; Görges, D.; Liu, S., Event-based networked control and scheduling codesign with guaranteed performance, Automatica, 57, 128-134 (2015) · Zbl 1330.93154
[11] Yan, H.; Wang, T.; Zhang, H.; Shi, H., Event-triggered H_∞)control for uncertain networked T-S fuzzy systems with time delay, Neurocomputing, 157, 273-279 (2015)
[12] Wu, L.; Gao, Y.; Liu, J.; Li, H., Event-triggered sliding mode control of stochastic systems via output feedback, Automatica, 82, 79-92 (2017) · Zbl 1376.93030
[13] Selivanov, A.; Fridman, E., Event-triggered H_∞)control: a switching approach, IEEE Trans. Autom. Control, 61, 10, 3221-3226 (2015)
[14] Ge, X.; Han, Q.-L.; Zhang, X.-M.; Ding, L.; Yang, F., Distributed event-triggered estimation over sensor networks: a survey, IEEE Trans. Cybern., 50, 3, 1306-1320 (2020)
[15] Hu, S.; Yue, D., Event-triggered control design of linear networked systems with quantizations, ISA Trans., 51, 1, 153-162 (2012)
[16] Peng, C.; Yang, T. C., Event-triggered communication and \(H_\infty\) control co-design for networked control systems, Automatica, 49, 5, 1326-1332 (2013) · Zbl 1319.93022
[17] Yue, D.; Tian, E.; Han, Q.-L., A delay system method for designing event-triggered controllers of networked control systems, IEEE Trans. Autom. Control, 58, 2, 475-481 (2013) · Zbl 1369.93183
[18] Peng, C.; Han, Q.-L., A novel event-triggered transmission scheme and \(\mathcal{L}_2\) control co-design for sampled-data control systems, IEEE Trans. Autom. Control, 58, 10, 2620-2626 (2013) · Zbl 1369.93365
[19] Zhang, J.; Feng, G., Event-driven observer-based output feedback control for linear systems, Automatica, 50, 7, 1852-1859 (2014) · Zbl 1296.93117
[20] Lunze, J.; Lehmann, D., A state-feedback approach to event-based control, Automatica, 46, 1, 211-215 (2010) · Zbl 1213.93063
[21] Ding, D.; Wang, Z.; Wei, G.; Alsaadi, F. E., Event-based security control for discrete-time stochastic systems, IET Control Theory Appl., 10, 15, 1808-1815 (2016)
[22] Yan, S.; Shen, M.; Zhang, G., Extended event-driven observer-based output control of networked control systems, Nonlinear Dyn., 86, 3, 1639-1648 (2016) · Zbl 1371.93177
[23] Li, F.; Fu, J.; Du, D., An improved event-triggered communication mechanism and L_∞)control co-design for network control systems, Inf. Sci., 370, 743-762 (2016) · Zbl 1429.93226
[24] Wang, Z.; Ho, D. W.; Dong, H.; Gao, H., Robust \(L_\infty\) finite-horizon control for a class of stochastic nonlinear time-varying systems subject to sensor and actuator saturations, IEEE Trans. Autom. Control, 55, 7, 1716-1722 (2010) · Zbl 1368.93668
[25] G. Garcia, S. Tarbouriech, J.M.G. da Silva, Dynamic output controller design for linear systems with actuator and sensor saturation, in: Proc 2007 American Control Conference, pp. 5834-5839.
[26] Zhu, Y.; Zhang, L.; Basin, M. V., Nonstationary \(H_\infty\) dynamic output feedback control for discrete-time markov jump linear systems with actuator and sensor saturations, Int. J. Robust Nonlinear Control, 26, 5, 1010-1025 (2016) · Zbl 1333.93231
[27] Li, H.; Wang, J.; Shi, P., Output-feedback based sliding mode control for fuzzy systems with actuator saturation, IEEE Trans. Fuzzy Syst., 24, 6, 1282-1293 (2016)
[28] Zhao, X.; Yang, H.; Xia, W.; Wang, X., Adaptive fuzzy hierarchical sliding-mode control for a class of mimo nonlinear time-delay systems with input saturation, IEEE Trans. Fuzzy Syst., 25, 5, 1062-1077 (2016)
[29] Xiong, Y.; Yang, L.; Wu, C.; Wu, L., Optimal event-triggered sliding mode control for discrete-time non-linear systems against actuator saturation, IET Control Theory Applications, 13, 16, 2638-2647 (2019)
[30] Han, J.-S.; Kim, T.-I.; Oh, T.-H.; Lee, S.-H.; Cho, D.-I. D., Effective disturbance compensation method under control saturation in discrete-time sliding mode control, IEEE Trans. Industr. Electron., 67, 7, 5696-5707 (2020)
[31] Utkin, V. I., Sliding Modes in Control and Optimization (2013), Springer Science & Business Media
[32] Sabanovic, A., Variable structure systems with sliding modes in motion control-a survey, IEEE Trans. Industr. Inf., 7, 2, 212-223 (2011)
[33] Behera, A. K.; Bandyopadhyay, B., Event-triggered sliding mode control for a class of nonlinear systems, Int. J. Control, 89, 9, 1916-1931 (2016) · Zbl 1353.93023
[34] Su, X.; Liu, X.; Shi, P.; Song, Y.-D., Sliding mode control of hybrid switched systems via an event-triggered mechanism, Automatica, 90, 294-303 (2018) · Zbl 1387.93055
[35] Khalil, H. K., Nonlinear Systems (2002), Prentice Hall: Prentice Hall Upper Saddle River, New Jersey · Zbl 1003.34002
[36] Ma, L.; Wang, Z.; Lam, H.-K., Event-triggered mean-square consensus control for time-varying stochastic multi-agent system with sensor saturations, IEEE Trans. Autom. Control, 62, 7, 3524-3531 (2016) · Zbl 1370.93138
[37] Pan, R.; Tan, Y.; Du, D.; Fei, S., Adaptive event-triggered synchronization control for complex networks with quantization and cyber-attacks, Neurocomputing, 382, 249-258 (2020)
[38] Liu, J.; Xia, J.; Tian, E.; Fei, S., Hybrid-driven-based \(H_\infty\) filter design for neural networks subject to deception attacks, Appl. Math. Comput., 320, 158-174 (2018) · Zbl 1426.93086
[39] Zemouche, A.; Boutayeb, M., On lmi conditions to design observers for lipschitz nonlinear systems, Automatica, 49, 2, 585-591 (2013) · Zbl 1259.93031
[40] Liu, K.; Fridman, E., Wirtinger’s inequality and lyapunov-based sampled-data stabilization, Automatica, 48, 1, 102-108 (2012) · Zbl 1244.93094
[41] Park, P.; Lee, W. I.; Lee, S. Y., Auxiliary function-based integral inequalities for quadratic functions and their applications to time-delay systems, J. Franklin Inst., 352, 4, 1378-1396 (2015) · Zbl 1395.93450
[42] Li, Y.-J.; Li, W., The multiobjective constraint fault-tolerant control of event-triggered nonuniform transmission for networked ts fuzzy system, Math. Probl. Eng. (2016) · Zbl 1400.93163
[43] Shen, M.; Park, J. H.; Ye, D., A separated approach to control of markov jump nonlinear systems with general transition probabilities, IEEE Trans. Cybern., 46, 9, 2010-2018 (2015)
[44] Donkers, M.; Heemels, W., Output-based event-triggered control with guaranteed \(\mathcal{L}_\infty \)-gain and improved and decentralized event-triggering, IEEE Trans. Autom. Control, 57, 6, 1362-1376 (2011) · Zbl 1369.93362
[45] Wheeler, G.; Su, C.-Y.; Stepanenko, Y., A sliding mode controller with improved adaptation laws for the upper bounds on the norm of uncertainties, Automatica, 34, 12, 1657-1661 (1998) · Zbl 0931.93012
[46] Spong, M. W., Modeling and control of elastic joint robots, J. Dyn. Syst. Meas. Contr., 310-319 (1987) · Zbl 0656.93052
[47] Gu, Z.; Shi, P.; Yue, D.; Ding, Z., Decentralized adaptive event-triggered H_∞)filtering for a class of networked nonlinear interconnected systems, IEEE Trans. Cybern., 49, 5, 1570-1579 (2018)
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