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Output-based event-triggered consensus of general linear multi-agent systems with communication delay under directed graphs.(English)Zbl 1437.93124

Summary: This paper studies the output-based event-triggered consensus problem of general linear multi-agent systems with communication delay under directed communication graphs. The influence of time delay on performance of multi-agent systems is investigated: the stability margin of time delay is explicitly calculated to measure the capability of proposed control algorithm to tolerate the time delay. By the designed output-based event-triggered mechanism, both communication among agents and update of controller are intermittent without Zeno behavior. Consequently, this control mechanism prolongs the lifespan of multi-agent systems in the sense that it saves intensive resource for communication and update of controller. Finally, numerical simulations are given to demonstrate the correctness of results in this paper.

MSC:

93D50 Consensus
93C65 Discrete event control/observation systems
93A16 Multi-agent systems
93C05 Linear systems in control theory
93C43 Delay control/observation systems

Cite

References:

[1]Rezaee, H.; Abdollahi, F., Pursuit formation of double-integrator dynamics using consensus control approach, IEEE Trans. Ind. Electron., 62, 7, 4249-4256 (2015)
[2]Xiao, Y.; Lu, L., Distributed formation control of nonholonomic vehicles subject to velocity constraints, IEEE Trans. Ind. Electron., 63, 2, 1289-1298 (2016)
[3]Liang, X.; Wang, H.; Liu, Y. H.; Chen, W.; Liu, T., Formation control of nonholonomic mobile robots without position and velocity measurements, IEEE Trans. Robot., 34, 2, 434-446 (2018)
[4]Yuan, G. S.; Long, W.; Xie, G., Average consensus in networks of dynamic agents with switching topologies and multiple time-varying delays, Syst. Control Lett., 57, 2, 175-183 (2008) ·Zbl 1133.68412
[5]Cortés, J.; Bullo, F., Coordination and geometric optimization via distributed dynamical systems, SIAM J. Control Opt., 44, 5, 1543-1574 (2005) ·Zbl 1108.37058
[6]Olfati-Saber, R.; Murray, R. M., Consensus problems in networks of agents with switching topology and time-delays, IEEE Trans. Autom. Control, 49, 9, 1520-1533 (2004) ·Zbl 1365.93301
[7]Su, Y., Cooperative output regulation of linear multi-agent systems by output feedback, IEEE Trans. Autom. Control, 61, 12, 1248-1253 (2012) ·Zbl 1255.93014
[8]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
[9]Wei, N. I.; Cheng, D., Leader-following consensus of multi-agent systems under fixed and switching topologies, Syst. Control Lett., 59, 3, 209-217 (2010) ·Zbl 1223.93006
[10]Wang, Y. W.; Liu, X. K.; Xiao, J. W.; Shen, Y., Output formation-containment of interacted heterogeneous linear systems by distributed hybrid active control, Automatica, 93, 26-32 (2018) ·Zbl 1400.93015
[11]Wang, Y. W.; Yang, W.; Xiao, J. W.; Zeng, Z. G., Impulsive multisynchronization of coupled multistable neural networks with time-varying delay, IEEE Trans. Neural Netw. Learn. Syst., 28, 7, 1560-1571 (2017)
[12]Li, H.; Liao, X.; Huang, T.; Wang, Y.; Han, Q.; Dong, T., Algebraic criteria for second-order global consensus in multi-agent networks with intrinsic nonlinear dynamics and directed topologies, Inf. Sci., 259, 25-35 (2014) ·Zbl 1332.34094
[13]Astrom, K. J.; Bernhardsson, B. M., Comparison of Riemann and Lebesgue sampling for first order stochastic systems, Proceedings of the IEEE Conference on Decision and Control, 2002, 2, 2011-2016 (2002)
[14]Tabuada, P., Event-triggered real-time scheduling of stabilizing control tasks, IEEE Trans. Autom. Control, 52, 9, 1680-1685 (2007) ·Zbl 1366.90104
[15]Wang, Y. W.; Lei, Y.; Bian, T.; Guan, Z. H., Distributed control of nonlinear multiagent systems with unknown and nonidentical control directions via event-triggered communication, IEEE Trans. Cybern., PP, 99, 1-13 (2019)
[16]Wang, L.; Dong, J.; Xi, C., Event-triggered adaptive consensus for fuzzy output-constrained multi-agent systems with observers, J. Frankl. Inst. (2019)
[17]Zhang, H.; Yang, R.; Yan, H.; Chen, Q., Distributed event-triggered control for consensus of multi-agent systems, J. Frankl. Inst., 352, 9, 3476-3488 (2015) ·Zbl 1395.93082
[18]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
[19]Yuan, F.; 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
[20]Yuan, F.; Lu, L.; Gang, F.; Yong, W., Self-triggered consensus for multi-agent systems with zeno-free triggers, Autom. Control IEEE Trans., 60, 10, 2779-2784 (2015) ·Zbl 1360.93277
[21]Hu, W.; Liu, L.; Feng, G., Consensus of linear multi-agent systems by distributed event-triggered strategy, IEEE Trans. Cybern., 46, 1, 148-157 (2017)
[22]Hu, W.; Liu, L.; Feng, G., Output consensus of heterogeneous linear multi-agent systems by distributed event-triggered/self-triggered strategy, IEEE Trans. Cybern., 47, 8, 1914-1924 (2017)
[23]Garcia, E.; Cao, Y.; Casbeer, D. W., Decentralized event-triggered consensus with general linear dynamics, Automatica, 50, 10, 2633-2640 (2014) ·Zbl 1301.93009
[24]Liu, X.; Du, C.; Lu, P.; Yang, D., Distributed event-triggered feedback consensus control with state-dependent threshold for general linear multi-agent systems, Int. J. Robust Nonlinear Control, 27, 15, 2589-2609 (2017) ·Zbl 1373.93024
[25]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)
[26]Xu, L.; Ma, H.; Zhao, L., Distributed event-triggered output-feedback control for sampled-data consensus of multi-agent systems, J. Frankl. Inst. (2019)
[27]Ma, C.-Q.; Zhang, J.-F., Necessary and sufficient conditions for consensusability of linear multi-agent systems, IEEE Trans. Autom. Control, 55, 5, 1263-1268 (2010) ·Zbl 1368.93383
[28]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
[29]Yang, D.; Wei, R.; Liu, X.; Chen, W., Decentralized event-triggered consensus for linear multi-agent systems under general directed graphs, Automatica, 69, 242-249 (2016) ·Zbl 1338.93239
[30]Yu, P.; Fischione, C.; Dimarogonas, D. V., Distributed event-triggered communication and control of linear multiagent systems under tactile communication, IEEE Trans. Autom. Control, 63, 11, 3979-3985 (2018) ·Zbl 1423.93041
[31]Li, L.; Ho, D.; Lu, J., Event-based network consensus with communication delays, Nonlinear Dyn., 87, 3, 1847-1858 (2017) ·Zbl 1384.90021
[32]Lan, G.; Liao, X.; Li, H.; Guo, C., Event-triggered control for multi-agent systems with general directed topology and time delays: multi-agent systems event-triggered control directed topology time-delays, Asian J. Control, 18, 3, 945-953 (2016) ·Zbl 1348.93189
[33]Miao, G.; Cao, J.; Alsaedi, A.; Alsaadi, F. E., Event-triggered containment control for multi-agent systems with constant time delays, J. Frankl. Inst., 354, 15, 6956-6977 (2017) ·Zbl 1373.93027
[34]Garcia, E.; Cao, Y.; Casbeer, D. W., Periodic event-triggered synchronization of linear multi-agent systems with communication delays, IEEE Trans. Autom. Control, 62, 1, 366-371 (2017) ·Zbl 1359.93412
[35]Ren, W.; Beard, R. W., Consensus seeking in multiagent systems under dynamically changing interaction topologies, IEEE Trans. Autom. Control, 50, 5, 655-661 (2005) ·Zbl 1365.93302
[36]Li, H.; Liao, X.; Huang, T.; Zhu, W., Event-triggering sampling based leader-following consensus in second-order multi-agent systems, IEEE Trans. Autom. Control, 60, 7, 1998-2003 (2014) ·Zbl 1360.93031
[37]Mu, N.; Wu, Y.; Liao, X.; Huang, T., Input time delay margin in event-triggered consensus of multiagent systems, IEEE Trans. Cybern., 49, 5, 1849-1858 (2018)
[38]Li, Z.; Duan, Z.; Chen, G.; Lin, H., Consensus of multiagent systems and synchronization of complex networks: a unified viewpoint, Circuits Syst. I Regul. Pap. IEEE Trans., 57, 1, 213-224 (2010) ·Zbl 1468.93137
[39]Zhang, H.; Lewis, F. L.; Das, A., Optimal design for synchronization of cooperative systems: state feedback, observer and output feedback, IEEE Trans. Autom. Control, 56, 8, 1948-1952 (2011) ·Zbl 1368.93265
[40]Chen, J.; Gu, G.; Nett, C. N., A new method for computing delay margins for stability of linear delay systems, Syst. Control Lett., 26, 2, 433-437 (1995) ·Zbl 0877.93117
[41]Yi, X.; Liu, K.; Dimarogonas, D. V.; Johansson, K. H., Distributed dynamic event-triggered control for multi-agent systems, Proceedings of the Fifty-sixth IEEE Conf. on Decision and Control (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.
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