Startseite Consensus of Heterogeneous Multi-Agent Systems with Intermittent Communication
Artikel
Lizenziert
Nicht lizenziert Erfordert eine Authentifizierung

Consensus of Heterogeneous Multi-Agent Systems with Intermittent Communication

  • Lü Xu EMAIL logo , Shuanghe Meng und Liang Chen
Veröffentlicht/Copyright: 17. September 2017
Veröffentlichen auch Sie bei De Gruyter Brill

Abstract

This paper studies consensus of a class of heterogeneous multi-agent systems composed of first-order and second-order agents with intermittent communication. For leaderless multi-agent systems, we propose a distributed consensus algorithm based on the intermittent information of neighboring agents. Some sufficient conditions are obtained to guarantee the consensus of heterogeneous multi-agent systems in terms of bilinear matrix inequalities (BMIs). Meanwhile, the relationship between communication duration and each control period is sought out. Moreover, the designed algorithm is extended to leader-following multi-agent systems without velocity measurements. Finally, the effectiveness of the main results is illustrated by numerical simulations.


Supported by the National Natural Science Foundation of China (612731200)


References

[1] Reynolds C. Flocks, herds, and schools: A distributed behavioral model. Computers & Graphics, 1987, 21(4): 25–34.10.1145/37402.37406Suche in Google Scholar

[2] Viseck T, Czirók A, Ben J E, et al. Novel type of phase transition in a system of self-driven particles. Physical Review Letters, 1995, 75(6): 1226–1229.10.1103/PhysRevLett.75.1226Suche in Google Scholar PubMed

[3] Jadbabaie A, Lin J, Morse A S. Coordination of groups of mobile autonomous agents using nearest neighbor rules. IEEE Transactions on Automatic Control, 2003, 48(6): 988–1001.10.1109/TAC.2003.812781Suche in Google Scholar

[4] Olfati-Saber R, Murray R M. Consensus problems in networks of agents with switching topology and time-delays. IEEE Transactions on Automatic Control, 2004, 49(9): 1520–1533.10.1109/TAC.2004.834113Suche in Google Scholar

[5] Sun Y G, Wang L. Consensus of multi-agent systems in directed networks with nonuniform time-varying delays. IEEE Transactions on Automatic Control, 2009, 54(7): 1607–1613.10.1109/TAC.2009.2017963Suche in Google Scholar

[6] Tian Y P, Liu C L. Consensus of multi-agent systems with diverse input and communication delays. IEEE Transactions on Automatic Control, 2008, 53(9): 2122–2128.10.1109/TAC.2008.930184Suche in Google Scholar

[7] Ren W, Cao Y C. Convergence of sampled-data consensus algorithms for double-integrator dynamics. IEEE Conference on Decision and Control, 2008, 16(5): 3965–3970.10.1109/CDC.2008.4738652Suche in Google Scholar

[8] Zhang Y, Tian Y P. Consensus of data-sampled multi-agent systems with random communication delay and packet loss. IEEE Transactions on Automatic Control, 2010, 55(4): 939–943.10.1109/TAC.2010.2041612Suche in Google Scholar

[9] Zhu W, Cheng D Z. Leader-following consensus of second-order agents with multiple time-varying delays. Automatica, 2010, 46(12): 1994–1999.10.1016/j.automatica.2010.08.003Suche in Google Scholar

[10] Qin J, Gao H, Zheng W. Second-order consensus for multi-agent systems with switching topology and communication delay. Systems & Control Letters, 2011, 60(6): 390–397.10.1016/j.sysconle.2011.03.004Suche in Google Scholar

[11] Liu K, Xie G, Wang L. Consensus for multi-agent systems under double integrator dynamics with time-varying communication delays. International Journal of Robust and Nonlinear Control, 2012, 22(17): 1881–1898.10.1002/rnc.1792Suche in Google Scholar

[12] Gao Y, Ma J, Zuo M, et al. Consensus of discrete-time second-order agents with time-varying topology and time-varying delays. Journal of the Franklin Institute, 2012, 349(8): 2598–2608.10.1016/j.jfranklin.2012.06.009Suche in Google Scholar

[13] Xiao F, Wang L. Consensus problems for high-dimensional multi-agent systems. IET Control Theory and Applications, 2007, 1(3): 830–837.10.1049/iet-cta:20060014Suche in Google Scholar

[14] Wang J, Liu Z, Hu X. Consensus of high order linear multi-agent systems using output error feedback. IEEE Conference of Decision and Control, 2009, 16(1): 3685–3690.10.1109/CDC.2009.5400741Suche in Google Scholar

[15] Zhou B, Lin Z. Consensus of high-order multi-agent systems with input and communication delays-state feedback case. Proceedings of American Control Conference (ACC), 2013: 4027–4032.Suche in Google Scholar

[16] Tian Y P, Zhang Y. High-order consensus of heterogeneous multi-agent systems with unknown communication delays. Automatica, 2012, 48(6): 1205–1212.10.1016/j.automatica.2012.03.017Suche in Google Scholar

[17] Zheng Y S, Wang L. Finite-time consensus of heterogeneous multi-agent systems with and without velocity measurements. Systems & Control Letters, 2012, 61(8): 871–878.10.1016/j.sysconle.2012.05.009Suche in Google Scholar

[18] Liu C L, Liu F. Stationary consensus of heterogeneous multi-agent systems with bounded communication delays. Automatica, 2011, 47(9): 2130–2133.10.1016/j.automatica.2011.06.005Suche in Google Scholar

[19] Yin X X, Yue D, Hu S L. Distributed event-triggered control of discrete-time heterogeneous multi-agent systems. Journal of the Franklin Institute, 2013, 350(3): 651–669.10.1016/j.jfranklin.2012.12.015Suche in Google Scholar

[20] Liu Y, Min H, Wang S, et al. Distributed consensus of a class of networked heterogeneous multi-agent systems. Journal of the Franklin Institute, 2014, 351(3): 1700–1716.10.1016/j.jfranklin.2013.12.020Suche in Google Scholar

[21] Wen G H, Duan Z S, Li Z, et al. Consensus and its L2-gain performance of multi-agent systems with intermittent information transmissions. International Journal of Control, 2012, 85(4): 384–396.10.1080/00207179.2011.654264Suche in Google Scholar

[22] Wen G H, Duan Z S, Yu W W, et al. Consensus in multi-agent systems with communication constraints. International Journal of Robust and Nonlinear Control, 2012, 22(2): 170–182.10.1002/rnc.1687Suche in Google Scholar

[23] Wen G H, Duan Z S, Yu W W, et al. Consensus of second-order multi-agent systems with delayed nonlinear dynamics and intermittent communications. International Journal of Control, 2013, 86(2): 322–331.10.1080/00207179.2012.727473Suche in Google Scholar

[24] Huang N, Duan Z S, Zhao Y. Leader-following consensus of second-order non-linear multi-agent systems with directed intermittent communication. IET Control Theory and Applications, 2014, 8(10): 82–795.10.1049/iet-cta.2013.0565Suche in Google Scholar

[25] Huang N, Duan Z S, Zhao Y. Consensus of multi-agent systems via delayed and intermittent communications. IET Control Theory and Applications, 2015, 9(1): 62–73.10.1049/iet-cta.2014.0729Suche in Google Scholar

[26] Qin W, Liu Z X, Chen Z Q. Observer-based consensus for nonlinear multi-agent systems with intermittent communication. Neurocomputing, 2015, 154: 230–238.10.1016/j.neucom.2014.11.069Suche in Google Scholar

[27] Djaidja S, Wu Q H. Stochastic consensus of leader-following multi-agent systems under additive measurement noises and time-delays. European Journal of Control, 2015, 23: 55–61.10.1016/j.ejcon.2015.03.002Suche in Google Scholar

[28] Nian X H, Li X B, Yang Y, et al. Bilinear matrix inequality approach to the absolute stability of interconnected Lurie control systems. Control Theory & Applications, 2005, 22(6): 999–1004.Suche in Google Scholar

[29] Xu C J, Zheng Y, Su H S. Necessary and sufficient conditions for distributed containment control of multi-agent systems without velocity measurement. IET Control Theory and Applications, 2014, 8(16): 1752–1759.10.1049/iet-cta.2013.1133Suche in Google Scholar

Received: 2016-5-24
Accepted: 2016-12-19
Published Online: 2017-9-17

© 2017 Walter de Gruyter GmbH, Berlin/Boston

Heruntergeladen am 26.10.2025 von https://www.degruyterbrill.com/document/doi/10.21078/JSSI-2017-328-15/html
Button zum nach oben scrollen