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Event-triggered leader-following consensus of non-linear multi-agent systems with switched dynamics. (English) Zbl 1432.93020

Summary: This study investigates the leader-following consensus problem for a class of switched non-linear multi-agent systems via event-triggered protocols, where the switching signal of each agent is different. Both centralised and decentralised event-triggered protocols are proposed for the switched non-linear multi-agent systems. The results are then extended to the self-triggered control cases, respectively. It is proved that the practical leader-following consensus can be achieved by designed protocols. Moreover, the feasibility of the proposed control schemes is further verified by excluding the Zeno behaviour. Finally, a numerical example is given to illustrate the effectiveness of the proposed method.

MSC:

93A14 Decentralized systems
93C30 Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems)
93C40 Adaptive control/observation systems
Full Text: DOI

References:

[1] OhK.ParkM., and AnhH.: ‘A survey of multi‐agent formation control’, Automatica, 2015, 53, pp. 424-440 · Zbl 1371.93015
[2] ChenM.SuH., and WangX.et al.: ‘Optimal leader allocation in UAV formation pairs ensuring cooperation’, Automatica, 2013, 49, (11), pp. 3189-3198 · Zbl 1358.93016
[3] GuoJ.RogersU., and LiX.et al.: ‘Secrecy constrained distributed detection in sensor networks’, IEEE Trans. Signal Inf. Process. Netw., 2017, 4, (2), pp. 378-391
[4] RichertD., and CortésJ.: ‘Co‐operative multi‐agent systems with engineering application’, IET Control Theory Appl., 2015, 9, (3), pp. 309-311
[5] TianL.ZhaoB., and WangL.: ‘Controllability of multi‐agent systems with periodically switching topologies and switching leaders’, Int. J. Control, 2018, 91, (5), pp. 1023-1033 · Zbl 1390.93159
[6] MaC.LiT., and ZhangJ.: ‘Consensus control for leader‐following multi‐agent systems with measurement noises’, J. Syst. Sci. Complex., 2010, 23, (1), pp. 35-49 · Zbl 1298.93028
[7] ValcherM., and ZorzanI.: ‘On the consensus of homogeneous multi‐agent systems with arbitrarily switching topology’, Automatica, 2017, 84, pp. 79-85 · Zbl 1376.93012
[8] Olfati‐SaberR., and MurrayR.M.: ‘Consensus problems in networks of agents with switching topology and time‐delays’, IEEE Trans. Autom. Control, 2004, 49, pp. 1520-1533 · Zbl 1365.93301
[9] HuJ., and LinY.S.: ‘Consensus control for multi‐agent systems with double‐integrator dynamics and time delays’, IET Control Theory Appl., 2010, 4, (11), pp. 109-118
[10] LiuW., and HuangJ.: ‘Adaptive leader‐following consensus for a class of higher‐order nonlinear multi‐agent systems with directed switching networks’, Automatica, 2017, 79, pp. 84-92 · Zbl 1371.93108
[11] ChengL.WangY., and RenW.et al.: ‘On convergence rate of leader‐following consensus of linear multi‐agent systems with communication noises’, IEEE Trans. Autom. Control, 2016, 61, (11), pp. 3586-3592 · Zbl 1359.93172
[12] CaoW.ZhangJ., and RenW.: ‘Leader‐follower consensus of linear multi‐agent systems with unknown external disturbances’, Syst. Control Lett., 2015, 82, pp. 64-70 · Zbl 1327.93007
[13] XiaoF., and ChengT.: ‘Adaptive consensus in leader‐following networks of heterogeneous linear systems’, IEEE Trans. Control Netw. Syst., 2017, 11, (11), pp. 1715-1725
[14] DuH.ChengY., and HeY.et al.: ‘Second‐order consensus for nonlinear leader‐following multi‐agent systems via dynamic output feedback control’, Int. J. Robust Nonlinear Control, 2016, 26, (2), pp. 329-344 · Zbl 1333.93005
[15] DingL., and ZhengW.: ‘Consensus tracking in heterogeneous nonlinear multi‐agent networks with asynchronous sampled‐data communication’, Syst. Control Lett., 2016, 96, pp. 151-157 · Zbl 1347.93011
[16] YuZ.HuangD., and JiangH.et al.: ‘Consensus of second‐order multi‐agent systems with nonlinear dynamics via edge‐based distributed adaptive protocols’, J. Franklin Inst., 2016, 353, (18), pp. 4821-4844 · Zbl 1349.93025
[17] HeP.LiY., and ParkJ.H.: ‘Noise tolerance leader‐following of high‐order nonlinear dynamical multi‐agent systems with switching topology and communication delay’, J. Franklin Inst., 2016, 353, (1), pp. 108-143 · Zbl 1395.93014
[18] ZhangZ.ZhangL., and HaoF.et al.: ‘Leader‐following consensus for linear and Lipschitz nonlinear multi‐agent systems with quantized communication’, IEEE Trans. Cybern., 2017, 47, (8), pp. 1970-1982
[19] DolkV., and HeemelsM.: ‘Event‐triggered control systems under packet losses’, Automatica, 2017, 80, pp. 143-155 · Zbl 1370.93170
[20] WangJ.ZhangP., and NiW.: ‘Observer‐based event‐triggered control for consensus of general linear MASs’, IET Control Theory Appl., 2017, 11, (18), pp. 3305-3312
[21] SuH.WangZ., and SongZ.et al.: ‘Event‐triggered consensus of nonlinear multi‐agent systems with sampling data and time delay’, IET Control Theory Appl., 2017, 11, (11), pp. 1715-1725
[22] ChengT.KanZ., and KlotzJ.et al.: ‘Event‐triggered control of multi‐agent systems for fixed and time‐varying network topologies’, IEEE Trans. Autom. Control, 2017, 62, (10), pp. 5365-5371 · Zbl 1390.93024
[23] LiuD., and YangG.H.: ‘Event‐triggered control for linear systems with actuator saturation and disturbances’, IET Control Theory Appl., 2017, 11, (9), pp. 1351-1359
[24] XieD.XuS., and ChuY.et al.: ‘Event‐triggered average consensus for multi‐agent systems with nonlinear dynamics and switching topology’, J. Franklin Inst., 2015, 352, (3), pp. 1080-1098 · Zbl 1307.93258
[25] RenG., and YuY.: ‘Mean square consensus of stochastic multi‐agent systems with nonlinear dynamics by distributed event‐triggered strategy’, Int. J. Control, 2017, DOI: 10.1080/00207179.2017.1369572 · Zbl 1416.93186
[26] HuA., and CaoJ.: ‘Consensus of multi‐agent systems via intermittent event‐triggered control’, Int. J. Syst. Sci., 2017, 48, (2), pp. 280-287 · Zbl 1359.93019
[27] MaC., and QiaoH.: ‘Distributed asynchronous event‐triggered consensus of nonlinear multi‐agent systems with disturbances: an extended dissipative approach’, Neurocomputing, 2017, 243, pp. 103-114
[28] LiuL., and ShanJ.: ‘Event‐triggered consensus of nonlinear multi‐agent systems with stochastic switching topology’, J. Franklin Inst., 2017, 354, (13), pp. 5350-5373 · Zbl 1395.93018
[29] ZhaoM.PengC., and HeW.et al.: ‘Event‐triggered communication for leader‐following consensus of second‐order multi‐agent systems’, IEEE Trans. Cybern., 2017, 48, (6), pp. 1888-1897
[30] LiberzonD.: ‘Switching in systems and control’ (Birkhäuser, Boston, USA, 2003) · Zbl 1036.93001
[31] XiangW., and XiaoJ.: ‘Convex sufficient conditions on asymptotic stability and \(L_2\) gain performance for uncertain discrete‐time switched linear systems’, IET Control Theory Appl., 2014, 8, (3), pp. 211-218
[32] XiangW.TranH.D., and JohnsonT.T.: ‘Output reachable set estimation for switched linear systems and its application in safety verification’, IEEE Trans. Autom. Control, 2017, 62, (10), pp. 5380-5387 · Zbl 1390.93142
[33] ZhaiG.XuX., and DanielW.C.H.: ‘Stability of switched linear discrete‐time descriptor systems: a new commutation condition’, Int. J. Control, 2012, 85, (11), pp. 1779-1788 · Zbl 1401.93161
[34] YuanC., and WuF.: ‘Almost output regulation of switched linear dynamics with switched exosignals’, Int. J. Robust Nonlinear Control, 2017, 27, (16), pp. 3197-3217 · Zbl 1386.93227
[35] SimoneB.GiorgioB., and EdoardoM.et al.: ‘Multi‐model unfalsified adaptive switching supervisory control’, Automatica, 2010, 46, pp. 249-259 · Zbl 1205.93005
[36] MengH.ChenZ., and MiddletonR.: ‘Consensus of multi‐agents in switching networks using input‐to‐state stability of switched systems’, IEEE Trans. Autom. Control, 2017, DOI: 10.1109/TAC.2018.2809454 · Zbl 1423.93328
[37] LiuT., and HuangJ.: ‘Cooperative output regulation for a class of nonlinear multi‐agent systems with unknown control directions subject to switching networks’, IEEE Trans. Autom. Control, 2018, 63, (3), pp. 783-790 · Zbl 1390.93107
[38] YuZ.JiangH., and HuangD.et al.: ‘Consensus of nonlinear multi‐agent systems with directed switching graphs: a directed spanning tree based error system approach’, Nonlinear Anal., Hybrid Syst., 2018, 28, pp. 123-140 · Zbl 1380.93029
[39] DaiJ., and GuoG.: ‘Exponential consensus of non‐linear multi‐agent systems with semi‐Markov switching topologies’, IET Control Theory Appl., 2017, 11, (18), pp. 3363-3371
[40] ZhangK.JiangB., and CocquempoV.: ‘Distributed fault estimation observer design for multi‐agent systems with switching topologies’, IET Control Theory Appl., 2017, 11, (16), pp. 2801-2807
[41] SuX.LiuX., and ShiP.et al.: ‘Sliding mode control of hybrid switched systems via an event‐triggered mechanism’, Automatica, 2018, 90, pp. 294-303 · Zbl 1387.93055
[42] XiangW., and JohnsonT.T.: ‘Event‐triggered control for continuous‐time switched linear systems’, IET Control Theory Appl., 2017, 11, (11), pp. 1694-1703
[43] LiT.F.FuJ., and DengF.et al.: ‘Stabilization of switched linear neutral systems: an event‐triggered sampling control scheme’, IEEE Trans. Autom. Control, 2018, DOI: 10.1109/TAC.2018.2797160 · Zbl 1423.93242
[44] QiY., and CaoM.: ‘Finite‐time boundedness and stabilisation of switched linear systems using event‐triggered controllers’, IET Control Theory Appl., 2017, 11, (18), pp. 3240-3248
[45] HuJ., and FengG.: ‘Distributed tracking control of leader‐follower multi‐agent systems under noisy measurement’, Automatica, 2010, 46, pp. 1382-1387 · Zbl 1204.93011
[46] HardyG.H.LittlewoodJ.E., and PolyaG.: ‘Inequalities’ (Cambridge University Press, Cambridge, UK, 1952) · Zbl 0047.05302
[47] ZhangT.GeS.S., and HuangC.: ‘Adaptive neural network control for strict‐feedback nonlinear systems using backstepping design’, Automatica, 2000, 36, (12), pp. 1835-1846 · Zbl 0976.93046
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