×

Resilient consensus of multi-agent systems against malicious data injections. (English) Zbl 1451.93352

Summary: This paper investigates the consensus problem of the multi-agent systems when subjected to external and malicious data injections. In particular, the primary objective is to develop a resilient network in the presence of attacks which aim to destabilize consensus dynamics by injecting bounded signals stealthily. To this end, a competitive strategy was utilized to establish a hidden layer of virtual system interconnected with the original system, so that the leader-follower consensus of the multi-agent systems can be guaranteed under proper topological conditions, and the technique derivation provides explicit rules on how to ensure stability of the overall system. Simulation results validate the theoretical contributions of this paper.

MSC:

93D50 Consensus
93A16 Multi-agent systems
93B35 Sensitivity (robustness)
93B70 Networked control
Full Text: DOI

References:

[1] Cao, Y.; Yu, W.; Ren, W.; Chen, G., An overview of recent progress in the study of distributed multi-agent coordination, IEEE Trans. Ind. Inform., 9, 1, 427-438 (2012)
[2] Ren, W.; Sorensen, N., Distributed coordination architecture for multi-robot formation control, Robot. Auton. Syst., 56, 4, 324-333 (2008) · Zbl 1291.93213
[3] Chen, F.; Chen, Z.; Liu, Z.; Xiang, L.; Yuan, Z., Decentralized formation control of mobile agents: a unified framework, Phys. A: Stat. Mech. Appl., 387, 19-20, 4917-4926 (2008)
[4] Cattivelli, F.; Sayed, A., Diffusion strategies for distributed kalman filtering and smoothing, IEEE Trans. Autom. Control, 55, 9, 2069-2084 (2010) · Zbl 1368.93706
[5] Yu, W.; Chen, G.; Wang, Z.; Yang, W., Distributed consensus filtering in sensor networks, IEEE Trans. Syst., Man, Cybern., Part B (Cybern.), 39, 6, 1568-1577 (2009)
[6] Zhang, G.; Li, C.; Qi, D.; Xin, H., Distributed estimation and secondary control of autonomous microgrid, IEEE Trans. Power Syst., 32, 2, 989-998 (2016)
[7] Tsado, Y.; Lund, D.; Gamage, K., Resilient communication for smart grid ubiquitous sensor network: state of the art and prospects for next generation, Comput. Commun., 71, 34-49 (2015)
[8] Yu, W.; Chen, G.; Cao, M., Distributed leader-follower flocking control for multi-agent dynamical systems with time-varying velocities, Syst. Control Lett., 59, 9, 543-552 (2010) · Zbl 1207.37054
[9] N. Falliere, L. Murchu, E. Chien, W32. stuxnet dossier, White paper, Symantec Corp., Security Response 5(6) (2011) 29.
[10] Cheng, B.; Li, Z., Consensus disturbance rejection with event-triggered communications, J. Frankl. Inst., 356, 2, 956-974 (2019) · Zbl 1406.93202
[11] Talebi, M.; Li, C.; Qu, Z., Enhanced protection against false data injection by dynamically changing information structure of microgrids, IEEE 7th Sensor Array and Multichannel Signal Processing Workshop, 393-396 (2012)
[12] Wang, Y.; Xia, J.; Wang, Z.; Zhou, J.; Shen, H., Reliable consensus control for semi-Markov jump multi-agent systems: A leader-following strategy, J. Frankl. Inst., 356, 6, 3612-3627 (2019) · Zbl 1411.93007
[13] Pasqualetti, F.; Bicchi, A.; Bullo, F., Consensus computation in unreliable networks: a system theoretic approach, IEEE Trans. Autom. Control, 57, 1, 90-104 (2011) · Zbl 1369.93042
[14] Sundaram, S.; Hadjicostis, C., Distributed function calculation via linear iterative strategies in the presence of malicious agents, IEEE Trans. Autom. Control, 56, 7, 1495-1508 (2011) · Zbl 1368.93140
[15] Leblanc, H.; Zhang, H.; Koutsoukos, X.; Sundaram, S., Resilient asymptotic consensus in robust networks, IEEE J. Sel. Areas Commun., 31, 4, 766-781 (2013)
[16] Zhu, M.; Martinez, S., Attack-resilient distributed formation control via online adaptation, IEEE Conference on Decision and Control & European Control Conference (2011)
[17] Zhu, M.; Martinez, S., On resilient consensus against replay attacks in operator-vehicle networks, American Control Conference (2012)
[18] Torre, G.; Yucelen, T.; Peterson, J., Resilient networked multiagent systems: a distributed adaptive control approachy, 53rd IEEE Conference on Decision and Control, 5367-5372 (2014)
[19] Torre, G.; Yucelen, T., Adaptive architectures for resilient control of networked multiagent systems in the presence of misbehaving agents, Int. J. Control, 91, 3, 1-13 (2017)
[20] Gharesifard, B., Resilience in consensus dynamics via competitive interconnections, Engine & Powertrain Control, Simulation & Modeling (2012)
[21] Gusrialdi, A.; Qu, Z.; Simaan, M., Robust design of cooperative systems against attacks, American Control Conference (2014)
[22] Gusrialdi, A.; Qu, Z.; Simaan, M., Competitive interaction design of cooperative systems against attacks, IEEE Trans. Autom. Control, 63, 9, 3159-3166 (2018) · Zbl 1423.93267
[23] Li, C.; Qu, Z.; Qi, D.; Wang, F., Distributed finite-time estimation of the bounds on algebraic connectivity for directed graphs, Automatica, 107, 289-295 (2019) · Zbl 1429.93332
[24] Qu, Z.; Li, C.; Lewis, F., Cooperative control with distributed gain adaptation and connectivity estimation for directed networks, Int. J. Robust Nonlinear Control, 24, 3, 450-476 (2014) · Zbl 1285.93009
[25] Li, C.; Qu, Z., Distributed finite-time consensus of nonlinear systems under switching topologies, Automatica, 50, 6, 1626-1631 (2014) · Zbl 1296.93008
[26] Ortega, R.; Perez, J.; Nicklasson, P.; Sira-Ramirez, H., Passivity-based Control of Euler-Lagrange Systems: Mechanical, Electrical and Electromechanical Applications (2013), Springer
[27] Kreutz, D.; Ramos, F. M.; Verissimo, P.; Rothenberg, C.; Azodolmolky, S.; Uhlig, S., Software-defined networking: a comprehensive survey, Proc. IEEE, 103, 1, 10-13 (2014)
[28] Rittinghouse, J.; Ransome, J., Cloud computing: implementation, management, and security (2017), CRC press
[29] Gusrialdi, A.; Qu, Z., Distributed estimation of all the eigenvalues and eigenvectors of matrices associated with strongly connected digraphs, IEEE Control Syst. Lett., 1, 2, 328-333 (2017)
[30] Mou, S.; Liu, J.; Morse, A., A distributed algorithm for solving a linear algebraic equation, Communication, Control, & Computing (2015) · Zbl 1360.65088
[31] Horn, R.; Johnson, C., Matrix Analysis (2012), Cambridge University Press
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.