Consensus of switched delay multi-agent systems via self-triggered impulsive control. (English) Zbl 1505.93236
Summary: This paper addresses the consensus problem of switched nonlinear multi-agent systems with delay and disturbances on undirected graph. Under distributed self-triggered impulsive control, continuous communication among neighbours is avoided and the lower bound of inter-event time is given. By the tool of average dwell time and comparison method, we obtain less conservative conditions for practical consensus compared with the existing results. It is shown that precise consensus can be achieved for the considered multi-agent systems without disturbances. Finally, a simulation example verifies our theoretical results.
MSC:
| 93D50 | Consensus |
| 93A16 | Multi-agent systems |
| 93C27 | Impulsive control/observation systems |
| 93C30 | Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) |
| 93C10 | Nonlinear systems in control theory |
References:
| [1] | Adaldo, A.; Alderisio, F.; Liuzza, D.; Shi, G.; Dimarogonas, D. V.; di Bernardo, M.; Johansson, K. H., Event-triggered pinning control of switching networks, IEEE Transactions on Control of Network Systems, 2, 2, 204-213 (2015) · Zbl 1370.93143 · doi:10.1109/TCNS.6509490 |
| [2] | Adaldo, A.; Liuzza, D.; Dimarogonas, D. V.; Johansson, K. H., Control of multi-agent systems with event-triggered cloud access (2015) |
| [3] | Adaldo, A.; Liuzza, D.; Dimarogonas, D. V.; Johansson, K. H., Cloud-supported formation control of second-order multiagent systems, IEEE Transactions on Control of Network Systems, 5, 4, 1563-1574 (2018) · Zbl 1515.93020 · doi:10.1109/TCNS.6509490 |
| [4] | Battistelli, G.; Chisci, L.; Selvi, D., Energy-efficient distributed state estimation via event-triggered consensus on exponential families (2016) |
| [5] | Bowman, S. L.; Nowzari, C.; Pappas, G. J., Coordination of multi-agent systems via asynchronous cloud communication (2016) |
| [6] | Carli, R.; Zampieri, S., Network clock synchronization based on the second-order linear consensus algorithm, IEEE Transactions on Automatic Control, 59, 2, 409-422 (2014) · Zbl 1360.68892 · doi:10.1109/TAC.2013.2283742 |
| [7] | Dimarogonas, D. V.; Frazzoli, E.; Johansson, K. H., Distributed event-triggered control for multi-agent systems, IEEE Transactions on Automatic Control, 57, 5, 1291-1297 (2012) · Zbl 1369.93019 · doi:10.1109/TAC.2011.2174666 |
| [8] | Garcia, E.; Cao, Y.; Casbeer, D. W., An event-triggered control approach for the leader-tracking problem with heterogeneous agents, International Journal of Control, 91, 5, 1209-1221 (2018) · Zbl 1390.93526 · doi:10.1080/00207179.2017.1312668 |
| [9] | Guan, Z. H.; Liu, Z. W.; Feng, G.; Jian, M., Impulsive consensus algorithms for second-order multi-agent networks with sampled information, Automatica, 48, 7, 1397-1404 (2012) · Zbl 1246.93007 · doi:10.1016/j.automatica.2012.05.005 |
| [10] | Han, G. S.; He, D. X.; Guan, Z. H.; Hu, B.; Li, T.; Liao, R. Q., Multi-consensus of multi-agent systems with various intelligences using switched impulsive protocols, Information Sciences, 349-350, 10, 188-198 (2016) · Zbl 1398.68569 · doi:10.1016/j.ins.2016.02.038 |
| [11] | Heemels, W. P. M. H.; Johansson, K. H.; Tabuada, P., An introduction to event-triggered and self-triggered control (2012) |
| [12] | Hespanha, J. P.; Morse, A. S., Stability of switched systems with average dwell-time (1999) |
| [13] | Hong, S.; Zhang, Y., Input/output-to-state stability of impulsive switched delay systems, International Journal of Robust and Nonlinear Control, 29, 17, 6031-6052 (2019) · Zbl 1432.93298 · doi:10.1002/rnc.v29.17 |
| [14] | Hong, S.; Zhang, Y., Stability of switched positive linear delay systems with mixed impulses, International Journal of Systems Science, 50, 16, 3022-3037 (2019) · Zbl 1483.93524 · doi:10.1080/00207721.2019.1692096 |
| [15] | Ke, C.; Li, C.; You, L., Consensus of nonlinear multiagent systems with grouping via state-constraint impulsive protocols, IEEE Transactions on Cybernetics, 51, 8, 4162-4172 (2021) · doi:10.1109/TCYB.2019.2953566 |
| [16] | Li, C.; Yu, X.; Liu, Z. W.; Huang, T., Asynchronous impulsive containment control in switched multi-agent systems, Information Sciences, 370-371, 7, 667-679 (2016) · Zbl 1429.93023 · doi:10.1016/j.ins.2016.01.072 |
| [17] | Li, X.; Li, P.; Wang, Q., Input/output-to-state stability of impulsive switched systems, Systems & Control Letters, 116, 7, 1-7 (2018) · Zbl 1417.93279 · doi:10.1016/j.sysconle.2018.04.001 |
| [18] | Liu, Y.; Lu, J.; Wu, B., Stability and \(####\)-gain performance for non-linear switched impulsive systems stability and \(####\)-gain performance for non-linear switched impulsive systems, IET Control Theory & Applications, 9, 2, 300-307 (2015) · doi:10.1049/cth2.v9.2 |
| [19] | Lu, J.; Wang, Y.; Shi, X.; Cao, J., Finite-time bipartite consensus for multiagent systems under detail-balanced antagonistic interactions, IEEE Transactions on Systems, Man, and Cybernetics: Systems, 51, 6, 3867-3875 (2021) · doi:10.1109/TSMC.2019.2938419 |
| [20] | Ma, Y.; Zhao, J., Distributed integral-based event-triggered scheme for cooperative output regulation of switched multi-agent systems, Information Sciences, 457-458, 10, 208-221 (2018) · Zbl 1448.93206 · doi:10.1016/j.ins.2018.02.021 |
| [21] | Ma, Y.; Zhao, J., Distributed adaptive integral-type event-triggered cooperative output regulation of switched multiagent systems by agent-dependent switching with dwell time, International Journal of Robust and Nonlinear Control, 30, 6, 2550-2569 (2020) · Zbl 1465.93109 · doi:10.1002/rnc.v30.6 |
| [22] | Ni, J.; Liu, J.; Yang, Q.; Dai, H., Consensus of second-order multi-agent systems via event-triggered impulsive control (2017) |
| [23] | Nowzari, C.; Garcia, E.; Cortés, J., Event-triggered communication and control of networked systems for multi-agent consensus, Automatica, 105, 2, 1-27 (2019) · Zbl 1429.93339 · doi:10.1016/j.automatica.2019.03.009 |
| [24] | Ouimet, M.; Iglesias, D.; Ahmed, N.; Martínez, S., Cooperative robot localization using event-triggered estimation, Journal of Aerospace Information Systems, 15, 7, 427-449 (2018) · doi:10.2514/1.I010600 |
| [25] | Schenato, L.; Fiorentin, F., Average TimeSynch: A consensus-based protocol for clock synchronization in wireless sensor networks, Automatica, 47, 9, 1878-1886 (2011) · Zbl 1223.68022 · doi:10.1016/j.automatica.2011.06.012 |
| [26] | Tan, X.; Cao, J.; Li, X., Consensus of leader-following multiagent systems: A distributed event-triggered impulsive control strategy, IEEE Transactions on Cybernetics, 49, 3, 792-801 (2019) · doi:10.1109/TCYB.6221036 |
| [27] | Tan, X.; Cao, J.; Li, X.; Alsaedi, A., Leader-following mean square consensus of stochastic multi-agent systems with input delay via event-triggered control, IET Control Theory & Applications, 12, 2, 299-309 (2018) · doi:10.1049/cth2.v12.2 |
| [28] | Tan, X.; Cao, J.; Rutkowski, L.; Lu, G., Distributed dynamic self-triggered impulsive control for consensus networks: The case of impulse gain with normal distribution, IEEE Transactions on Cybernetics, 51, 2, 624-634 (2021) · doi:10.1109/TCYB.2019.2924258 |
| [29] | 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, 3, 26-32 (2018) · Zbl 1400.93015 · doi:10.1016/j.automatica.2018.03.020 |
| [30] | Xu, W.; Cao, J.; Yu, W.; Lu, J., Leader-following consensus of non-linear multi-agent systems with jointly connected topology, IET Control Theory & Applications, 8, 6, 432-440 (2014) · doi:10.1049/cth2.v8.6 |
| [31] | Xu, W.; Ho, D. W. C., Clustered event-triggered consensus analysis: An impulsive framework, IEEE Transactions on Industrial Electronics, 63, 11, 7133-7143 (2016) · doi:10.1109/TIE.2016.2584009 |
| [32] | Xu, Z.; Li, C.; Han, Y., Impulsive consensus of nonlinear multi-agent systems via edge event-triggered control, IEEE Transactions on Neural Networks and Learning Systems, 31, 6, 1995-2004 (2020) · doi:10.1109/TNNLS.5962385 |
| [33] | Yang, X.; Huang, C.; Zhu, Q., Synchronization of switched neural networks with mixed delays via impulsive control, Chaos, Solitons & Fractals, 44, 10, 817-826 (2011) · Zbl 1268.93013 · doi:10.1016/j.chaos.2011.06.006 |
| [34] | Yang, Z.; Xu, D., Stability analysis and design of impulsive control systems with time delay, IEEE Transactions on Automatic Control, 52, 8, 1448-1454 (2007) · Zbl 1366.93276 · doi:10.1109/TAC.2007.902748 |
| [35] | Zhang, W.; Liu, Y.; Lu, J.; Cao, J., A novel consensus algorithm for second-order multi-agent systems without velocity measurements, International Journal of Robust and Nonlinear Control, 27, 15, 2510-2528 (2017) · Zbl 1373.93044 · doi:10.1002/rnc.v27.15 |
| [36] | Zhu, H.; Li, P.; Li, X.; Akca, H., Input-to-state stability for impulsive switched systems with incommensurate impulsive switching signals, Communications in Nonlinear Science and Numerical Simulation, 80, 7 (2020) · Zbl 1451.93335 · doi:10.1016/j.cnsns.2019.104969 |
| [37] | Zhu, Q.; Cao, J., Stability analysis of Markovian jump stochastic BAM neural networks with impulse control and mixed time delays, IEEE Transactions on Neural Networks and Learning Systems, 23, 3, 467-479 (2012) · doi:10.1109/TNNLS.2011.2182659 |
| [38] | Zou, W.; Shi, P.; Xiang, Z.; Shi, Y., Consensus tracking control of switched stochastic nonlinear multiagent systems via event-triggered strategy, IEEE Transactions on Neural Networks and Learning Systems, 31, 3, 1036-1045 (2020) · doi:10.1109/TNNLS.5962385 |
| [39] | Zou, W.; Xiang, Z., Event-triggered leader-following consensus of non-linear multi-agent systems with switched dynamics, IET Control Theory & Applications, 13, 9, 1222-1228 (2019) · Zbl 1432.93020 · doi:10.1049/cth2.v13.9 |
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.
