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Jian, Long; Hu, Jiangping; Wang, Jun; Shi, Kaibo

Distributed event-triggered protocols with \(Kx\)-functional observer for leader-following multi-agent systems. (English) Zbl 07571240

Physica A 535, Article ID 122457, 14 p. (2019).
Summary: This paper is concerned with the leader-following consensus problem of general linear multi-agent systems under directed topology graph. Compared with the most of the prior works, we assume that the state information is unknown for each following agent and only the relative output information between neighboring agents can be measured. Then, two new types of functional observer-based output feedback event-triggered protocols are designed, where the \(Kx\)-functional observer designed in this paper may have lower dimension than the full-order and reduced-order observer, which can ensure that leader-following consensus is achieved. Furthermore, the Zeno behavior is excluded by showing that the inter-event time between any two triggering events is lower bounded by a strictly positive value. Finally, a numerical simulation example is presented to demonstrate the effectiveness of the proposed control protocols.

Cited in 1 Document

MSC:

82-XX Statistical mechanics, structure of matter

Keywords:

multi-agent systems; leader-following consensus; event-triggered control; \(Kx\)-functional observer
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References:

[1] OlfatiSaber, R.; Murray, R., Consensus problems in networks of agents with switching topology and time-delays, IEEE Trans. Automat. Control, 49, 9, 1520-1533 (2004) · Zbl 1365.93301
[2] Hong, Y.; Hu, J.; Gao, L., Tracking control for multi-agent consensus with an active leader and variable topology, Automatica, 42, 7, 1177-1182 (2006) · Zbl 1117.93300
[3] Hu, J.; Hong, Y., Leader-following coordination of multi-agent systems with coupling time delays, Physica A, 374, 2, 853-863 (2007)
[4] Liu, W.; Wu, X.; Yang, W.; Zhu, X.; Zhong, S., Modeling cyber rumor spreading over mobile social networks: A compartment approach, Appl. Math. Comput., 343, 214-229 (2019) · Zbl 1429.91265
[5] Peng, Z.; Zhao, Y.; Hu, J.; Ghosh, B. K., Data-driven optimal tracking control of discrete-time multi-agent systems with two-stage policy iteration algorithm, Inform. Sci., 481, 189-202 (2019) · Zbl 1451.93228
[6] Wang, J.; Shi, K.; Huang, Q.; Zhong, S.; Zhang, D., Stochastic switched sampled-data control for synchronization of delayed chaotic neural networks with packet dropout, Appl. Math. Comput., 335, 211-230 (2018) · Zbl 1427.93144
[7] Liu, W.; Zhong, S., Web malware spread modelling and optimal control strategies, Sci. Rep., 7, 42308 (2017)
[8] K. Shi, J. Wang, Y. Tang, S. Zhong, Reliable asynchronous sampled-data filtering of t-s fuzzy uncertain delayed neural networks with stochastic switched topologies, Fuzzy Sets Syst., http://dx.doi.org/10.1016/j.fss.2018.11.017. · Zbl 1464.93081
[9] Z.G. Wu, S. Dong, P. Shi, D. Zhang, T. Huang, Reliable filter design of takagi-sugeno fuzzy switched systems with imprecise modes, IEEE Trans. Cybern., http://dx.doi.org/10.1109/TCYB.2018.2885505.
[10] Shi, K.; Wang, J.; Zhong, S.; Zhang, X.; Liu, Y.; Cheng, J., New reliable nonuniform sampling control for uncertain chaotic neural networks under markov switching topologies, Appl. Math. Comput., 347, 169-193 (2019) · Zbl 1428.92015
[11] Y. Xu, Z.-G. Wu, Y.-J. Pan, Synchronization of coupled harmonic oscillators with asynchronous intermittent communication, IEEE Trans. Cybern., http://dx.doi.org/10.1109/TCYB.2018.2889777.
[12] Shen, H.; Huo, S.; Cao, J.; Huang, T., Generalized state estimation for markovian coupled networks under round-robin protocol and redundant channels., IEEE Trans. Cybern., 49, 4, 1293-1301 (2019)
[13] H. Que, M. Fang, Z.-G. Wu, H. Su, T. Huang, D. Zhang, Exponential synchronization via aperiodic sampling of complex delayed networks, IEEE Trans. Syst. Man Cybern., http://dx.doi.org/10.1109/TSMC.2018.2858247.
[14] Tabuada, P., Event-triggered real-time scheduling of stabilizing control tasks, IEEE Trans. Automat. Control, 52, 9, 1680-1685 (2007) · Zbl 1366.90104
[15] Dimarogonas, D. V.; Frazzoli, E.; Johansson, K. H., Distributed event-triggered control for multi-agent systems, IEEE Trans. Automat. Control, 57, 5, 1291-1297 (2012) · Zbl 1369.93019
[16] Hu, W.; Liu, L.; Feng, G., Consensus of linear multi-agent systems by distributed event-triggered strategy, IEEE Trans. Cybern., 46, 1, 148-157 (2016)
[17] Cheng, T. H.; Kan, Z.; Klotz, J. R.; Shea, J. M.; Dixon, W. E., Event-triggered control of multi-agent systems for fixed and time-varying network topologies, IEEE Trans. Automat. Control, 62, 10, 5365-5371 (2017) · Zbl 1390.93024
[18] Shen, H.; Li, F.; Yan, H.; Karimi, H. R.; Lam, H. K., Finite-time event-triggered \(\mathcal{H}_\infty\) control for tcs fuzzy markov jump systems, IEEE Trans. Fuzzy Syst., 26, 5, 3122-3135 (2018)
[19] J. Hu, Y. Wu, T. Li, B.K. Ghosh, Consensus control of general linear multi-agent systems with antagonistic interactions and communication noises, IEEE Trans. Automat. Control, http://dx.doi.org/10.1109/TAC.2018.2872197. · Zbl 1482.93040
[20] Hu, J.; Zheng, W. X., Adaptive tracking control of leader-follower systems with unknown dynamics and partial measurements, Automatica, 50, 5, 1416-1423 (2014) · Zbl 1296.93085
[21] Seyboth, G. S.; Dimarogonas, D. V.; Johansson, K. H., Event-based broadcasting for multi-agent average consensus, Automatica, 49, 1, 245-252 (2013) · Zbl 1257.93066
[22] Fan, Y.; Feng, G.; Wang, Y.; Song, C., Distributed event-triggered control of multi-agent systems with combinational measurements, Automatica, 49, 2, 671-675 (2013) · Zbl 1258.93004
[23] Jian, L.; Hu, J.; Wang, J.; Shi, K., New event-based control for sampled-data consensus of multi-agent systems, Int. J. Control Autom. Syst., 17, 5, 1107-1116 (2019)
[24] Zhu, W.; Jiang, Z. P.; Feng, G., Event-based consensus of multi-agent systems with general linear models, Automatica, 50, 2, 552-558 (2014) · Zbl 1364.93489
[25] Guo, G.; Ding, L.; Han, Q. L., A distributed event-triggered transmission strategy for sampled-data consensus of multi-agent systems, Automatica, 50, 5, 1489-1496 (2014) · Zbl 1296.93108
[26] Hu, W.; Liu, L., Cooperative output regulation of heterogeneous linear multi-agent systems by event-triggered control, IEEE Trans. Cybern., 47, 1, 105-116 (2016)
[27] Yang, D.; Ren, W.; Liu, X.; Chen, W., Decentralized event-triggered consensus for linear multi-agent systems under general directed graphs, Automatica, 69, 69, 242-249 (2016) · Zbl 1338.93239
[28] Fan, Y.; Liu, L.; Feng, G.; Wang, Y., Self-triggered consensus for multi-agent systems with zeno-free triggers, IEEE Trans. Automat. Control, 60, 10, 2779-2784 (2015) · Zbl 1360.93277
[29] Hu, J.; Chen, G.; Li, H. X., Distributed event-triggered tracking control of leader-follower multi-agent systems with communication delays, Kybernetika, 4, 4, 630-643 (2011) · Zbl 1227.93008
[30] Wang, X.; Lemmon, M. D., Event-triggering in distributed networked control systems, IEEE Trans. Automat. Control, 56, 3, 586-601 (2011) · Zbl 1368.93211
[31] Nowzari, C.; Corts, J., Distributed event-triggered coordination for average consensus on weight-balanced digraphs, Automatica, 68, 237-244 (2016) · Zbl 1334.93118
[32] Garcia, E.; Cao, Y.; Casbeer, D. W., Decentralized event-triggered consensus with general linear dynamics, Automatica, 50, 10, 2633-2640 (2014) · Zbl 1301.93009
[33] Hu, J.; Gang, F., Distributed tracking control of leader-follower multi-agent systems under noisy measurement, Automatica, 46, 8, 1382-1387 (2010) · Zbl 1204.93011
[34] Wu, Y.; Hu, J., Observer-based output regulation of cooperative-competitive high-order multi-agent systems, J. Franklin Inst. B, 355, 10, 4111-4130 (2018) · Zbl 1390.93180
[35] Li, Z.; Duan, Z.; Chen, G.; Huang, L., Consensus of multiagent systems and synchronization of complex networks: a unified viewpoint, IEEE Trans. Circuits Syst. I. Regul. Pap., 57, 1, 213-224 (2010) · Zbl 1468.93137
[36] Zhang, H.; Lewis, F. L.; Das, A., Optimal design for synchronization of cooperative systems: State feedback, observer and output feedback, IEEE Trans. Automat. Control, 56, 8, 1948-1952 (2011) · Zbl 1368.93265
[37] Xu, X.; Chen, S.; Gao, L., Observer-based consensus tracking for second-order leader-following nonlinear multi-agent systems with adaptive coupling parameter design, Neurocomputing, 156, 297-305 (2015)
[38] Li, Z.; Liu, X.; Lin, P.; Ren, W., Consensus of linear multi-agent systems with reduced-order observer-based protocols, Systems Control Lett., 60, 7, 510-516 (2011) · Zbl 1222.93013
[39] Zhou, B.; Xu, C.; Duan, G., Distributed and truncated reduced-order observer based output feedback consensus of multi-agent systems, IEEE Trans. Automat. Control, 59, 8, 2264-2270 (2014) · Zbl 1360.93139
[40] Hu, Y.; Lam, J.; Liang, J., Consensus of multi-agent systems with luenberger observers, J. Franklin Inst. B, 350, 9, 2769-2790 (2013) · Zbl 1287.93007
[41] Gao, L.; Cui, Y.; Xu, X.; Zhao, Y., Distributed consensus protocol for leader-following multi-agent systems with functional observers, J. Franklin Inst. B, 352, 11, 5173-5190 (2015) · Zbl 1395.93013
[42] Hu, J.; Geng, J.; Zhu, H., An observer-based consensus tracking control and application to event-triggered tracking, Commun. Nonlinear Sci. Numer. Simul., 20, 2, 559-570 (2015) · Zbl 1303.93012
[43] Zhang, H.; Feng, G.; Yan, H.; Chen, Q., Observer-based output feedback event-triggered control for consensus of multi-agent systems, IEEE Trans. Ind. Electron., 61, 9, 4885-4894 (2014)
[44] Zhao, D.; Dong, T., Reduced-order observer-based consensus for multi-agent systems with time delay and event trigger strategy, IEEE Access, 5, 99, 1263-1271 (2017)
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.