Event-Triggered Cluster Consensus of Leader-Following Linear Multi-Agent Systems

Xu, Bin; He, Wangli

doi:10.1515/jaiscr-2018-0019

Abstract

This paper is concerned with cluster consensus of linear multi-agent systems via a distributed event-triggered control scheme. Assume that agents can be split into several clusters and a leader is associated with each cluster. Sufficient conditions are derived to guarantee the realization of cluster consensus by a feasible event-triggered controller if the network topology of each cluster has a directed spanning tree and the couplings within each cluster are sufficiently strong. Further, positive inner-event time intervals are ensured for the proposed event-triggered strategy to avoid Zeno behaviors. Finally, a numerical example is given to illustrate the effectiveness of the theoretical results.

References

[1] W. He, F. Qian, Q. Han and J. Cao, Synchronization error estimation and controller design for delayed Lure systems with parameter mismatches, IEEE Transactions on Neural Networks and Learning Systems, vol. 23, no. 10, pp. 1551-1563, 2012.
Search in Google Scholar Back to article
[2] H.R. Karimi, P.J. Maralani, B. Lohmann and B. Moshiri, H_ control of parameter-dependent state-delayed systems using polynomial parameterdependent quadratic functions, International Journal of Control, vol. 78, no. 4, pp. 254-263, 2005.10.1080/00207170500089455
Open DOI Search in Google Scholar Back to article
[3] H.R. Karimi, Mixed H2/H_ output-feedback control of second-order neutral systems with timevarying state and input delays, ISA Transactions, vol. 47, no. 3, pp. 311-324, 2008.10.1016/j.isatra.2008.04.00218501358
Search in Google Scholar Back to article
[4] Y. Zhao, B. Li, J. Qin, H. Gao and H.R. Karimi, H_ consensus and synchronization of nonlinear systems based on a novel fuzzy model, IEEE Trans. Cybern., vol. 43, no. 6, pp. 2157-2169, 2013.
Search in Google Scholar Back to article
[5] W. He, C. Xu, Q. Han, F. Qian and Z. Lang, L2 leader-follower consensus of networked Euler- Lagrange systems with external disturbances, IEEE Transactions on Systems, Man, and Cybernetics: Systems, vol. PP, pp. 1-9, 2017.10.1109/TSMC.2017.2774251
Search in Google Scholar Back to article
[6] Y. Cao, W. Yu, W. Ren and G. Chen, An overview of recent progress in the study of distributed multiagent coordination, IEEE Trans. Ind. Informat., vol. 9, no. 1, pp. 427-438, Feb. 2012.10.1109/TII.2012.2219061
Search in Google Scholar Back to article
[7] G. Wen, Y. Zhao, Z. Duan, W. Yu and F. Chen, Containment of higher-order multi-leader multiagent systems: a dynamic output approach, IEEE Transactions on Automatic Control, vol. 61, no. 4, pp. 1135-1140, 2016.
Search in Google Scholar Back to article
[8] W. He, B. Zhang, Q. Han, F. Qian, J. Kurths and J. Cao Leader-following consensus of nonlinear multiagent systems with stochastic sampling, IEEE Trans. Cybern., vol. 47, no. 2, pp. 327-338, 2016.10.1109/TCYB.2015.251411926890940
Search in Google Scholar Back to article
[9] W. He, G. Chen, Q. Han and F. Qian, Networkbased leader-following consensus of nonlinear multi-agent systems via distributed impulsive control, Information Sciences, vol. 380, pp. 145-158, 2017.10.1016/j.ins.2015.06.005
Search in Google Scholar Back to article
[10] X. Ge, Q. Han and F. Yang, Event-based setmembership leader-following consensus of networked multi-agent systems subject to limited communication resources and unknown-butbounded noise, IEEE Transactions on Industrial Electronics, vol. 64, no. 6, pp. 5045-5054, 2017.
Search in Google Scholar Back to article
[11] W. He and J. Cao Exponential synchronization of hybrid coupled networks with delayed coupling, IEEE Transactions on Neural Networks, vol. 21, no. 4, pp. 571-583, 2010.10.1109/TNN.2009.203980320172825
Search in Google Scholar Back to article
[12] W. He, F. Qian, J. Lam, G. Chen. Q. Han and J.Kurths, Quasi-synchronization of heterogeneous dynamic networks via distributed impulsive control: Error estimation, optimization and design, Automatica, vol. 62, pp. 249-262, 2015.10.1016/j.automatica.2015.09.028
Search in Google Scholar Back to article
[13] J. Yu and L.Wang, Group consensus of multi-agent systems with directed information exchange, International Journal of Systems Science, vol. 43, no. 2, pp. 334-348, 2012.10.1080/00207721.2010.496056
Search in Google Scholar Back to article
[14] J. Yu and Y. Shi, Scaled group consensus in multiagent systems with first/second-order continuous dynamics, IEEE Trans. Cybern., vol. PP, no. 99, pp. 1-13, 2017.
Search in Google Scholar Back to article
[15] J. Qin and C. Yu, Cluster consensus control of generic linear multi-agent systems under directed topology with acyclic partition, Automatica, vol. 49, no. 9, pp. 2898-2905, 2013.
Search in Google Scholar Back to article
[16] C. Yu, J. Qin and H. Gao, Cluster synchronization in directed networks of partial-state coupled linear systems under pinning control, Automatica, vol. 50, no. 9, pp. 2341-2349, 2014.10.1016/j.automatica.2014.07.013
Open DOI Search in Google Scholar Back to article
[17] X. Ge, Q. Han and X. Zhang, Achieving cluster formation of multi-agent systems under aperiodic sampling and communication delays, IEEE Transactions on Industrial Electronics, vol. 65, no. 4, pp. 3417-3426, 2018.
Search in Google Scholar Back to article
[18] D.V. Dimarogonas, E. Frazzoli and K.H. Johansson, Distributed event-triggered control for multiagent systems, IEEE Transactions on Automatic Control, vol. 57, no. 5, pp. 1291-1297, 2012.10.1109/TAC.2011.2174666
Open DOI Search in Google Scholar Back to article
[19] M. Zhao, C. Peng, W. He and Y. Song, Eventtriggered communication for leader-following consensus of second-order multiagent systems, IEEE Trans. Cybern., vol. PP, no. 1, pp. 1-10, 2017.
Search in Google Scholar Back to article
[20] W. Xu, D.W.C. Ho, L. Li and J. Cao, Eventtriggered schemes on leader-following consensus of general linear multiagent systems under different topologies, IEEE Trans. Cybern., vol. 47, no. 1, pp. 212-223, 2017.10.1109/TCYB.2015.251074626731787
Search in Google Scholar Back to article
[21] Y. Fan, G. Feng, Y. Wang and C. Song, Distributed event-triggered control of multi-agent systems with combinational measurements, Automatica, vol. 49, no. 2, pp. 671-675, 2013.10.1016/j.automatica.2012.11.010
Search in Google Scholar Back to article
[22] W. Hu, L. Liu and G. Feng, Consensus of linear multi-agent systems by distributed event-triggered strategy, IEEE Trans. Cybern., vol. 46, no. 1, pp. 148-157, 2016.10.1109/TCYB.2015.239889225700479
Search in Google Scholar Back to article
[23] G. Guo, L. Ding and Q. Han, A distributed eventtriggered transmission strategy for sampled-data consensus of multi-agent systems, Automatica, vol. 50, no. 5, pp. 1489-1496, 2014.10.1016/j.automatica.2014.03.017
Open DOI Search in Google Scholar Back to article
[24] G. Wen, M.Z.Q. Chen and X. Yu, Event-triggered master-slave synchronization with sampled-data communication, IEEE Transactions on Circuits & Systems II Express Briefs, vol. 63, no. 3, pp. 304- 308, 2016.10.1109/TCSII.2015.2482158
Search in Google Scholar Back to article
[25] X. Zhang and Q. Han, Event-based H-infinity filtering for sampled-data systems, Automatica, vol. 51, pp. 55-69, 2015.10.1016/j.automatica.2014.10.092
Search in Google Scholar Back to article
[26] H. Su, Z. Wang; Z. Song and X. Chen, Eventtriggered consensus of non-linear multi-agent systems with sampling data and time delay, IET Control Theory & Applications, vol. 11, no. 11, pp. 1715-1725, 2017.
Search in Google Scholar Back to article
[27] L. Ding, Q. Han; X. Ge and X. Zhang, An overview of recent advances in event-triggered consensus of multiagent systems, IEEE Transactions on Cybernetics, vol. 48, no. 4, pp. 1110 - 1123, 2018.
Search in Google Scholar Back to article
[28] A. Hu, J. Cao, M. Hu and L. Guo, Cluster synchronization of complex networks via event-triggered strategy under stochastic sampling, Physica A Statistical Mechanics & Its Applications, vol. 434, pp. 99-110, 2015.10.1016/j.physa.2015.03.065
Search in Google Scholar Back to article
[29] W. Wang, C. Huang, J. Cao and F.E. Alsaadi, Event-triggered control for sampled-data cluster formation of multi-agent systems, Neurocomputing, vol. 267, pp. 25-35, 2017.10.1016/j.neucom.2017.04.028
Search in Google Scholar Back to article
[30] W. Xu and D.W.C. Ho, Clustered event-triggered consensus analysis: an impulsive framework, IEEE Transactions on Industrial Electronics, vol. 63, no.11 pp. 7133-7143, 2016.
Search in Google Scholar Back to article
[31] L. Li, D.W.C. Ho, J. Cao and J. Lu, Pinning cluster synchronization in an array of coupled neural networks under event-based mechanism, Neural Networks, vol. 76, no.11 pp. 1-12, 2016.10.1016/j.neunet.2015.12.00826829603
Open DOI Search in Google Scholar Back to article

Event-Triggered Cluster Consensus of Leader-Following Linear Multi-Agent Systems

Abstract

Paradigm

My account