×

Distributed consensus of heterogeneous switched nonlinear multiagent systems with input quantization and DoS attacks. (English) Zbl 07704209

Summary: In this paper, the consensus tracking control problem is investigated for a class of heterogeneous switched nonlinear multiagent systems (MASs) with input quantization under denial-of-service (DoS) attacks, where first-order agents and second-order agents exist simultaneously, and each agent shows the switching characteristic. Due to the prevalence of DoS attacks in communication channels, a DoS attack model is constructed in this study, and the upper bounds on the duration and frequency of DoS attacks are given. Meanwhile, taking the chattering phenomena of control inputs into account, a hysteresis quantizer is introduced to overcome the issue of the undesirable input chattering. Hence, a new anti-attack distributed consensus protocol is developed such that MASs with input quantization can effectively resist the impact of DoS attacks. Based on the Lyapunov stability theory, the boundedness of all signals in the closed-loop system is verified and the consensus target can be achieved. Finally, the effectiveness of the proposed control scheme is demonstrated by two simulation examples.

MSC:

93D50 Consensus
93A16 Multi-agent systems
93C30 Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems)
93C40 Adaptive control/observation systems
93C65 Discrete event control/observation systems
Full Text: DOI

References:

[1] Zou, W.; Shi, P.; Xiang, Z.; Shi, Y., Finite-time consensus of second-order switched nonlinear multi-agent systems, IEEE Trans. Neural Netw. Learn. Syst., 31, 5, 1757-1762 (2020)
[2] Yao, D.; Dou, C.; Yue, D.; Zhao, N.; Zhang, T., Event-triggered adaptive consensus tracking control for nonlinear switching multi-agent systems, Neurocomputing, 415, 157-164 (2020)
[3] Zuo, S.; Song, Y.; Lewis, F. L.; Davoudi, A., Output containment control of linear heterogeneous multi-agent systems using internal model principle, IEEE Trans. Cybern., 47, 8, 2099-2109 (2017)
[4] Cheng, F.; Liang, H.; Niu, B.; Zhao, N.; Zhao, X., Adaptive Neural Self-Triggered Bipartite Secure Control for Nonlinear MASs Subject to DoS Attacks, Inf. Sci., 631, 256-270 (2023)
[5] Khazaei, J.; Nguyen, D. H., Multi-agent consensus design for heterogeneous energy storage devices with droop control in smart grids, IEEE Trans. Smart Grid, 10, 2, 1395-1404 (2017)
[6] Jain, R.; Lukic, S.; Lubkeman, D., Multi-agent distributed service restoration scheme for distribution systems with embedded microgrids, IEEE/PES Trans. Distribut. Conf. Exposit. (T&D), 1-5 (2018)
[7] Tsang, K. F.E.; Huang, M.; Johansson, K. H.; Shi, L., Sparse linear injection attack on multi-agent consensus control systems, IEEE Control Syst. Lett., 5, 2, 665-670 (2020)
[8] Zou, W.; Guo, J.; Ahn, C. K.; Xiang, Z., Sampled-data consensus protocols for a class of second-order switched nonlinear multiagent systems, IEEE Trans. Cybernet., 10.1109/TCYB.2022.3163157 (2022)
[9] Zhou, D.; Zhang, A.; Yang, P., Fixed-time output feedback consensus of second-order multi-agent systems with settling time estimation, Int. J. Control Autom. Syst., 18, 8, 2061-2074 (2020)
[10] Shahvali, M.; Pariz, N.; Akbariyan, M., Distributed finite-time control for arbitrary switched nonlinear multi-agent systems: an observer-based approach, Nonlinear Dyn., 94, 2127-2142 (2018) · Zbl 1422.93079
[11] Lv, M.; Yu, W.; Cao, J.; Baldi, S., A separation-based methodology to consensus tracking of switched high-order nonlinear multiagent systems, IEEE Trans. Neural Netw. Learn. Syst., 33, 10, 5467-5479 (2021)
[12] Liu, S.; Niu, B.; Zong, G.; Zhao, X.; Xu, N., Data-driven-based event-triggered optimal control of unknown nonlinear systems with input constraints, Nonlinear Dyn., 1-19 (2022)
[13] Zhao, Y.; Zhang, H.; Chen, Z.; Wang, H.; Zhao, X., Adaptive neural decentralised control for switched interconnected nonlinear systems with backlash-like hysteresis and output constraints, Int. J. Syst. Sci., 53, 7, 1545-1561 (2022) · Zbl 1497.93126
[14] Zhang, H.; Xu, N.; Zong, G.; Alkhateeb, A. F., Adaptive fuzzy hierarchical sliding mode control of uncertain under-actuated switched nonlinear systems with actuator faults, Int. J. Syst. Sci., 52, 8, 1499-1514 (2021) · Zbl 1483.93325
[15] Zhang, H.; Wang, H.; Niu, B.; Zhang, L.; Ahmad, A. M., Sliding-mode surface-based adaptive actor-critic optimal control for switched nonlinear systems with average dwell time, Inf. Sci. (Ny), 580, 756-774 (2021) · Zbl 07786227
[16] Zhao, X.; Wang, X.; Ma, L.; Zong, G., Fuzzy approximation based asymptotic tracking control for a class of uncertain switched nonlinear systems, IEEE Trans. Fuzzy Syst., 28, 4, 632-644 (2019)
[17] Tang, F.; Wang, H.; Chang, X.; Zhang, L.; Alharbi, K., Dynamic Event-Triggered Control for Discrete-Time Nonlinear Markov Jump Systems Using Policy Iteration-Based Adaptive Dynamic Programming, Nonlinear Anal.: Hybrid Syst., 49, Article 101338 pp. (2023) · Zbl 1520.93324
[18] Zhang, H.; Zhao, X.; Zong, G.; Xu, N., Fully distributed consensus of switched heterogeneous nonlinear multi-agent systems with bouc-wen hysteresis input, IEEE Trans. Netw. Sci. Eng., 10.1109/TNNLS.2022.3183991 (2022)
[19] Li, Y.; Niu, B.; Zong, G.; Zhao, J.; Zhao, X., Command filter-based adaptive neural finite-time control for stochastic nonlinear systems with time-varying full state constraints and asymmetric input saturation, Int. J. Syst. Sci., 53, 1, 199-221 (2022) · Zbl 1483.93553
[20] Cheng, Y.; Niu, B.; Zhao, X.; Zeng, G.; Ahmad, A., Event-Triggered Adaptive Decentralized Control of Interconnected Nonlinear Systems with Bouc-Wen Hysteresis Input, Int. J. Syst. Sci. (2023)
[21] Zhao, Y.; Niu, B.; Zong, G.; Xu, N.; Ahmad, A., Event-triggered optimal decentralized control for stochastic interconnected nonlinear systems via adaptive dynamic programming, Neurocomputing, 539, 28, 126163 (2023)
[22] Chen, X.; Wang, Y.; Hu, S., Event-based robust stabilization of uncertain networked control systems under quantization and denial-of-service attacks, Inf. Sci. (Ny), 459, 369-386 (2018) · Zbl 1448.93266
[23] Doostmohammadian, M.; Meskin, N., Finite-time stability under denial of service, IEEE Syst. J., 15, 1, 1048-1055 (2020)
[24] Carl, G.; Kesidis, G.; Brooks, R. R.; Rai, S., Denial-of-service attack-detection techniques, IEEE Internet Comput., 10, 1, 82-89 (2006)
[25] Khalaf, B. A.; Mostafa, S. A.; Mustapha, A.; Mohammed, M. A.; Abduallah, W. M., Comprehensive review of artificial intelligence and statistical approaches in distributed denial of service attack and defense methods, IEEE Access, 7, 51691-51713 (2019)
[26] Chen, W.; Ding, D.; Dong, H.; Wei, G., Distributed resilient filtering for power systems subject to denial-of-service attacks, IEEE Trans. Syst. Man Cybernet.: Syst., 49, 8, 1688-1697 (2019)
[27] Peng, C.; Sun, H., Switching-like event-triggered control for networked control systems under malicious denial of service attacks, IEEE Trans. Automat. Contr., 65, 9, 3943-3949 (2020) · Zbl 1533.93493
[28] Zhang, L.; Zong, G.; Zhao, X.; Zhao, N., Output reachable set synthesis of event-triggered control for singular markov jump systems under multiple cyber-attacks, IEEE/ACM Trans. Network., 1-9 (2022)
[29] Shao, X.; Ye, D., Fuzzy adaptive event-triggered secure control for stochastic nonlinear high-order mass subject to dos attacks and actuator faults, IEEE Trans. Fuzzy Syst., 29, 12, 3812-3821 (2020)
[30] Suthokumar, G.; Sethu, V.; Wijenayake, C.; Ambikairajah, E., Modulation dynamic features for the detection of replay attacks, 691-695 (2018)
[31] Mo, Y.; Sinopoli, B., Secure control against replay attacks, 911-918 (2009), IEEE
[32] Zhai, L.; Vamvoudakis, K. G., A data-based private learning framework for enhanced security against replay attacks in cyber-physical systems, Int. J. Robust Nonlinear Control, 31, 6, 1817-1833 (2021) · Zbl 1526.93087
[33] Wang, K.; Tian, E.; Liu, J.; Wei, L.; Yue, D., Resilient control of networked control systems under deception attacks: a memory-event-triggered communication scheme, Int. J. Robust Nonlinear Control, 30, 4, 1534-1548 (2020) · Zbl 1465.93054
[34] Du, D.; Zhang, C.; Wang, H.; Li, X.; Hu, H.; Yang, T., Stability analysis of token-based wireless networked control systems under deception attacks, Inf. Sci. (Ny), 459, 168-182 (2018) · Zbl 1448.93270
[35] Liu, J.; Wu, Z.-G.; Yue, D.; Park, J. H., Stabilization of networked control systems with hybrid-driven mechanism and probabilistic cyber attacks, IEEE Trans. Syst. Man Cybern.: Syst., 51, 2, 943-953 (2019)
[36] Yang, Y.; Li, Y.; Yue, D.; Tian, Y.-C.; Ding, X., Distributed secure consensus control with event-triggering for multiagent systems under dos attacks, IEEE Trans. Cybern., 51, 6, 2916-2928 (2020)
[37] Guo, X.-G.; Liu, P.-M.; Wang, J.-L.; Ahn, C. K., Event-triggered adaptive fault-tolerant pinning control for cluster consensus of heterogeneous nonlinear multi-agent systems under aperiodic dos attacks, IEEE Trans. Network Sci. Eng., 8, 2, 1941-1956 (2021)
[38] Zhang, D.; Liu, L.; Feng, G., Consensus of heterogeneous linear multiagent systems subject to aperiodic sampled-data and dos attack, IEEE Trans. Cybern., 49, 4, 1501-1511 (2018)
[39] Sui, S.; Tong, S., Fuzzy adaptive quantized output feedback tracking control for switched nonlinear systems with input quantization, Fuzzy Sets Syst., 290, 56-78 (2016) · Zbl 1374.93158
[40] Li, S.; Ahn, C. K.; Xiang, Z., Decentralized sampled-data control for cyber-physical systems subject to dos attacks, IEEE Syst. J., 15, 4, 5126-5134 (2020)
[41] Zou, W.; Ahn, C. K.; Xiang, Z., Fuzzy-approximation-based distributed fault-tolerant consensus for heterogeneous switched nonlinear multiagent systems, IEEE Trans. Fuzzy Syst., 29, 10, 2916-2925 (2020)
[42] Zhang, H.; Zhao, X.; Wang, H.; Zong, G.; Xu, N., Hierarchical sliding-mode surface-based adaptive actor-critic optimal control for switched nonlinear systems with unknown perturbation, IEEE Trans. Neural Network and Learn. Syst., 10.1109/TNNLS.2022.3183991 (2022)
[43] Zhang, H.; Zhao, X.; Zhang, L.; Niu, B.; Zong, G.; Xu, N., Observer-based adaptive fuzzy hierarchical sliding mode control of uncertain under-actuated switched nonlinear systems with input quantization, Int. J. Robust Nonlinear Control, 10.1002/rnc.6269 (2022) · Zbl 1528.93076
[44] Thang, F.; Niu, B.; Zong, G.; Zhao, X.; Xu, N., Periodic event-triggered adaptive tracking control design for nonlinear discrete-time systems via reinforcement learning, Neural Networks, 154, 43-55 (2022) · Zbl 1525.93256
[45] Dong, T.; Gong, Y., Leader-following secure consensus for second-order multi-agent systems with nonlinear dynamics and event-triggered control strategy under dos attack, Neurocomputing, 416, 95-102 (2020)
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.