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Cooperative output regulation of linear multi-agent systems by output feedback. (English) Zbl 1255.93014
Summary: In this paper, following our recent result on the cooperative output regulation of linear multi-agent systems by a distributed full information state feedback control, we further study the same problem by a distributed measurement output feedback control under certain detectability assumptions. As the problem can be viewed as an extension of the leader-following consensus problem of the linear multi-agent systems, our result contains some existing results on the multi-agent system control as special cases.
MSC:
93A14Decentralized systems
68T42Agent technology (AI aspects)
93B52Feedback control
93C15Control systems governed by ODE
References:
[1]Su, Y.; Huang, J.: Cooperative output regulation of linear multi-agent systems, IEEE transaction on automatic control 57, 1062-1066 (2012)
[2]Huang, J.: Remarks on synchronized output regulation of linear networked systems, IEEE transaction on automatic control 56, 630-631 (2011)
[3]Wang, X.; Hong, Y.; Huang, J.; Jiang, Z.: A distributed control approach to a robust output regulation problem for multi-agent linear systems, IEEE transaction on automatic control 55, 2891-2895 (2010)
[4]Xiang, J.; Wei, W.; Li, Y.: Synchronized output regulation of networked linear systems, IEEE transaction on automatic control 54, 1336-1341 (2009)
[5]Hong, Y.; Gao, L.; Cheng, D.; Hu, J.: Lyapunov-based approach to multiagent systems with switching jointly connected interconnection, IEEE transaction on automatic control 52, 943-948 (2007)
[6]Jadbabaie, A.; Lin, J.; Morse, A. S.: Coordination of groups of mobile agents using nearest neighbor rules, IEEE transaction on automatic control 48, 988-1001 (2003)
[7]Ni, W.; Cheng, D.: Leader-following consensus of multi-agent systems under fixed and switching topologies, Systems control letters 59, 209-217 (2010) · Zbl 1223.93006 · doi:10.1016/j.sysconle.2010.01.006
[8]Ren, W.; Beard, R. W.: Distributed consensus in multi-vehicle cooperative control, communications and control engineering series, (2008)
[9]Davison, E. J.: The robust control of a servomechanism problem for linear time-invariant multivariable systems, IEEE transaction on automatic control 21, 25-34 (1976) · Zbl 0326.93007 · doi:10.1109/TAC.1976.1101137
[10]Francis, B. A.; Wonham, W. M.: The internal model principle of control theory, Automatica 12, 457-465 (1976) · Zbl 0344.93028 · doi:10.1016/0005-1098(76)90006-6
[11]Francis, B. A.: The linear multivariable regulator problem, SIAM journal on control and optimization 15, 486-505 (1977) · Zbl 0382.93025 · doi:10.1137/0315033
[12]Huang, J.: Nonlinear output regulation: theory and applications, (2004)
[13]Kim, H.; Shim, H.; Seo, J. H.: Output consensus of heterogeneous uncertain linear multi-agent systems, IEEE transaction on automatic control 56, 200-206 (2011)
[14]Wieland, P.; Sepulchre, R.; Allgöwer, F.: An internal model principle is necessary and sufficient for linear output synchronization, Automatica 47, 1068-1074 (2011) · Zbl 1233.93011 · doi:10.1016/j.automatica.2011.01.081
[15]Su, Y.; Huang, J.: Cooperative output regulation with application to multi-agent consensus under switching network, IEEE transactions on systems, man, and cybernetics, part B: cybernetics 42, 864-875 (2012)
[16]Godsil, C.; Royle, G.: Algebraic graph theory, (2001)