Previous |  Up |  Next

Article

Keywords:
multi-agent systems; distributed output regulation; active leader; quantized control
Summary:
Motivated by digital communication channel, we consider the distributed output regulation problem for linear multi-agent systems with quantized state measurements. Quantizers take finitely many values and have an adjustable "zoom" parameter. Quantized distributed output regulation concerns designing distributed feedback by employing quantized technique for multi-agent systems such that all agents can track an active leader, and/or distributed disturbance rejection. With the solvability conditions satisfied, both hybrid static and dynamic feedback with quantized strategy are developed.
References:
[1] Brockett, R. W., Liberzon, D.: Quantized feedback stabilization of linear systems. IEEE Trans. Automat. Control 45 (2000), 1279-1289. DOI 10.1109/9.867021 | MR 1779982 | Zbl 0988.93069
[2] Buhl, J., Stumpter, D., Couzin, I., Hale, J., Despland, E., Miller, E., Simpson, S.: From disorder to order in marching locusts. Science 312 (2006), 1402-1406. DOI 10.1126/science.1125142
[3] Carli, R., Bullo, F.: Quantized coordination algorithms for rendezvous and deployment. SIAM J. Control Optim. 48 (2009), 1251-1274. DOI 10.1137/070709906 | MR 2496975 | Zbl 1192.68845
[4] Fax, J. A., Murray, R. M.: Information flow and cooperative control of vehicle formation. IEEE Trans. Autom. Control 49 (2004), 1465-1476. DOI 10.1109/tac.2004.834433 | MR 2086912
[5] Godsil, C., Royle, G.: Algebraic Graph Theory. Springer-Verlag, New York 2001. DOI 10.1007/978-1-4613-0163-9 | MR 1829620 | Zbl 0968.05002
[6] Hong, Y., Hu, J., Gao, L.: Tracking control for multi-agent consensus with an active leader and variable topology. Automatica 42 (2006), 1177-1182. DOI 10.1016/j.automatica.2006.02.013 | MR 2230987 | Zbl 1117.93300
[7] Hong, Y., Wang, X., Jiang, Z.: Distributed output regulation of leader-follower multi-agent systems. Int. J. Robust Nonlinear Control 23 (2013), 48-66. DOI 10.1002/rnc.1814 | MR 3008001 | Zbl 1263.93007
[8] Hu, J., Feng, G.: Quantized tracking control for a multi-agent system with high-order leader dynamics. Asian J. Control 13 (2011), 988-997. DOI 10.1002/asjc.311 | MR 2869902 | Zbl 1263.93008
[9] Huang, J.: Nonlinear Output Regulation: Theory & Applications. SIAM, Phildelphia 2004. DOI 10.1137/1.9780898718683 | MR 2308004 | Zbl 1087.93003
[10] Liberzon, D.: Hybrid feedback stabilization of systems with quantized signals. Automatica. 39 (2003), 1543-1554. DOI 10.1016/s0005-1098(03)00151-1 | MR 2143462 | Zbl 1030.93042
[11] Lu, M., Huang, J.: Cooperative output regulation problem for linear time-delay multi-agent systems under switching network. In: 33rd Chinese Control Conference (CCC) 2014, pp. 3515-3520. DOI 10.1109/chicc.2014.6895523
[12] Kameneva, T., Nesic, D.: Further results on robustness of linear control systems with quantized feedback. In: Proc. American Control Conference. New York 2007, pp. 1015-1020. DOI 10.1109/acc.2007.4282150
[13] Kashyap, A., Basar, T., Srikant, R.: Quantized consensus. Automatica 43 (2007), 1192-1203. DOI 10.1016/j.automatica.2007.01.002 | MR 2306766 | Zbl 1123.93090
[14] Tang, Y., Hong, Y., Wang, X.: Distributed output regulation for a class of nonlinear multi-agent systems with unknown-input leaders. Automatica 62 (2015), 154-160. DOI 10.1016/j.automatica.2015.09.014 | MR 3423983 | Zbl 1330.93018
[15] Wang, X., Han, F.: Robust coordination control of switching multi-agent systems via output regulation approach. Kybernetika 47 (2011), 755-772. MR 2850462 | Zbl 1236.93010
[16] Wang, X., Hong, Y., Huang, J., Jiang, Z.: A distributed control approach to a robust output regulation problem for multi-agent linear systems. IEEE Trans. Automat. Control 55 (2010), 2891-2895. DOI 10.1109/tac.2010.2076250 | MR 2767160
[17] Wang, X., Ni, W., Wang, X.: Leader-following formation of switching multirobot systems via internal model. IEEE Trans. Syst. Man. Cyber. Part B: Cyber. 42 (2012), 817-826. DOI 10.1109/tsmcb.2011.2178022
[18] Yang, Z., Hong, Y.: Stabilization of impulsive hybrid systems using quantized input and output feedback. Asian J. Control 14 (2012), 679-692. DOI 10.1002/asjc.385 | MR 2925999 | Zbl 1303.93144
Partner of
EuDML logo