Abstract
In this paper, we consider the leader-following tracking control problem for a class of nonlinear multi-agent systems (MASs) with Lipschitz-type dynamics via event-triggered approaches. For a directed communication topology, a distributed consensus control scheme is developed on the basis of event-triggered mechanism. In addition, to avoid continuous monitor of measurement information, a technical approach is presented for generation of the combinational information from their own neighboring agents only at event instants. The stability of the closed-loop system is given, and it is proven that the Zeno behavior is ruled out.
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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)
Chen, C.L.P., Wen, G.X., Liu, Y.J., et al.: Adaptive consensus control for a class of nonlinear multiagent time-delay systems using neural networks. IEEE Trans. Neural Netw. Learn. Syst. 25(6), 1217–1226 (2014)
Wen, G., Duan, Z., Chen, G., et al.: Consensus tracking of multi-agent systems with Lipschitz-type node dynamics and switching topologies. IEEE Trans. Circuits Syst. I, Reg. Papers. 61(2), 499–511 (2014)
Yuan, D., Ho, D.W.C., Xu, S.: Regularized primal-dual subgradient method for distributed constrained optimization. IEEE Trans. Cybern. 46(9), 2109–2118 (2016)
Yoo, S.J.: A low-complexity design for distributed containment control of networked pure-feedback systems and its application to fault-tolerant control. Int. J. Robot. Res. 27(3), 363–379 (2017)
Yang, Y., Yue, D., Dou, C.: Distributed adaptive output consensus control of a class of heterogeneous multi-agent systems under switching directed topologies. Inform. Syst. 345, 294–312 (2016)
Tallapragada, P., Chopra, N.: On event triggered tracking for nonlinear systems. IEEE Trans. Autom. Control 58(9), 2343–2348 (2013)
Yue, D., Tian, E., Han, Q.L.: A delay system method for designing event-triggered controllers of networked control systems. IEEE Trans. Autom. Control 58(2), 475–481 (2013)
Dimarogonas, D.V., Frazzoli, E., Johansson, K.H.: Distributed event-triggered control for multi-agent systems. IEEE Trans. Autom. Control 57(5), 1291–1297 (2012)
Seyboth, G.S., Dimarogonas, D.V., Johansson, K.H.: Event-based broadcasting for multi-agent average consensus. Automatica 49(1), 245–252 (2013)
Zhang, H., Feng, G., Yan, H., et al.: Consensus of multi-agent systems with linear dynamics using event-triggered control. IET Control Theory Appl. 8(18), 2275–2281 (2014)
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)
Zhu, W., Jiang, Z.P.: Event-based leader-following consensus of multi-agent systems with input time delay. IEEE Trans. Autom. Control 60(5), 1362–1367 (2015)
Fan, Y., Feng, G., Wang, Y., et al.: Distributed event-triggered control of multi-agent systems with combinational measurements. Automatica 49(2), 671–675 (2013)
Fan, Y., Liu, L., Feng, G., et al.: Self-triggered consensus for multi-agent systems with Zeno-free triggers. IEEE Trans. Autom. Control 60(10), 2779–2784 (2015)
Hu, J., Chen, G., Li, H.X.: Distributed event-triggered tracking control of leader-follower multi-agent systems with communication delays. Kybernetika 47(4), 630–643 (2011)
Li, H., Liao, X., Huang, T., et al.: Event-triggering sampling based leader-following consensus in second-order multi-agent systems. IEEE Trans. Autom. Control 60(7), 1998–2003 (2015)
Mu, N., Liao, X., Huang, T.: Leader-following consensus in second-order multiagent systems via event-triggered control with nonperiodic sampled data. IEEE Trans. Circ. Syst. II: Express Br. 62(10), 1007–1011 (2015)
Cheng, Y., Ugrinovskii, V.: Event-triggered leader-following tracking control for multivariable multi-agent systems. Automatica 70, 204–210 (2016)
Yang, D., Ren, W., Liu, X., et al.: Decentralized event-triggered consensus for linear multi-agent systems under general directed graphs. Automatica 69, 242–249 (2016)
Xie, D., Xu, S., Li, Z., et al.: Event-triggered consensus control for second-order multi-agent systems. IET Control Theory Appl. 9(5), 667–680 (2015)
Acknowledgments
This work is supported in part by National Natural Science Foundation of China under Grant 61533010 and 61503194, in part by the Research and Development Program of Jiangsu Province under Grant BE2016184, in part by Natural Science Foundation of Jiangsu Province under Grant BK20140877, in part by Scientific Foundation of Nanjing University of Posts and Telecommunications (NUPTSF) under Grant NY214076.
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Yang, Y., Yue, D. (2017). Event-Triggered Consensus Tracking Control of Multi-agent Systems with Lipschitz-Type Dynamics. In: Yue, D., Peng, C., Du, D., Zhang, T., Zheng, M., Han, Q. (eds) Intelligent Computing, Networked Control, and Their Engineering Applications. ICSEE LSMS 2017 2017. Communications in Computer and Information Science, vol 762. Springer, Singapore. https://doi.org/10.1007/978-981-10-6373-2_43
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DOI: https://doi.org/10.1007/978-981-10-6373-2_43
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