Reliable Consensus Problem For Multi-Agent Systems With Sampled-Data

• Main Authors: S. H. Lee, M. J. Park, O. M. Kwon
• Format: Text
• Language: English
• Published: Zenodo 2015
• Subjects: Multi-agent; Linear Matrix Inequalities LMIs; Kronecker Product; Sampled-Data; Lyapunov method.; Morse; morse; ren
• Online Access: https://dx.doi.org/10.5281/zenodo.1100073; https://zenodo.org/record/1100073

In this paper, reliable consensus of multi-agent systems with sampled-data is investigated. By using a suitable Lyapunov-Krasovskii functional and some techniques such as Wirtinger Inequality, Schur Complement and Kronecker Product, the results of such system are obtained by solving a set of Linear Matrix Inequalities (LMIs). One numerical example is included to show the effectiveness of the proposed criteria. : {"references": ["Q. Ma, Z. Wang, G. Miao, \"Second-order group consensus for\nmulti-agent systems via pinning leader-following approach\", Journal of\nthe Franklin Institute 351, 2014, pp. 1288\u20131300.", "R.O. Saber, J.A. Fax, R.M. Murray, \"Consensus and Cooperation in\nNetworked Multi-Agent Systems\", Proceedings of the IEEE, vol. 95,\n2007, pp. 215-233.", "J. Wang, D. Cheng, X, Hu, \"Consensus of Multi-agent Linear Dynamic\nSystems\", Asian J control, vol. 10, 2008, pp. 144-155.", "M.J. Park, K.H. Kim and O.M. Kwon, \"Leader-following Consensus\nCriterion for Multi-agent Systems with Probabilistic Self-delay\", World\nAcademy of Science, Engineering and Technology 72, 2012, pp. 244-248.", "X. Mu, X. Xiao, K. Liu, J. Zhang, \"Leader-following consensus of\nmulti-agent systems with jointly connected topology using distributed\nadaptive protocols\", Journal of the Franklin Institute 351, 2014, pp.\n5399-5410.", "W. Ren, \"Consensus strategies for cooperative control of vehicle\nformations\", IET Control Theory Appl., vol. 1, 2007, pp. 505-512.", "W. Ren, E. Atkins, \"Distributed multi-vehicle coordinated control via\nlocal information exchange\", Int. J. Robust Nonlinear Control, vol. 17,\n2007, pp. 1002-1033.", "A. Jadbabie, J. Lin, A.S. Morse, \"Coordination of groups of mobile\nautonomous agents using nearest neighbor rules\", IEEE Trans. Autom.\nControl, vol. 48, 2003, pp 988-1001.", "P. DeLellis, M. DiBernardo, F. Garofalo, D. Liuzza, \"Analysis and\nstabililty of consensus in networked control systems\", Appl. Math.\nComput, vol. 217, 2010, pp. 988-1000.\n[10] L. Hua, Y. Cao, C. Cheng, H. Shao, \"Sampled-data control for time-delay\nsystems\", Journal of the Franklin Institute 339, 2002, pp. 231\u2013238.\n[11] C. Peng, T.C. Yang, E.G. Tian, \"Brief Paper: Robust fault-tolerant control\nof networked control systems with stochastic actuator failure\", IET\nControl Theory Appl., Vol. 4, Iss. 12, 2010, pp. 3003\u20133011.\n[12] C.H. Lien, K.W. Yu, Y.F. Lin, Y.J. Chung, L.Y. Chung, \"Robust reliable\nH_inf control for uncertain nonlinear systems via LMI approach\",\nApplied Mathematics and Computation 198, 2008, pp.453\u2013462.\n[13] K. H. Kim, M.J. Park, O.M. Kwon, \"Reliable control for linear dynamic\nsystems with time-varying delays and randomly occurring disturbances\" ,\nThe Transactions of the Korean Institute of Electrical Engineers, Vol. 63,\nNo. 7, 2014, pp. 976-986.\n[14] P.G. Park, J.W. Ko, C.K. Jeong, \"Reciprocally convex approach to\nstability of systems with time-varying delays\", Automatica 47, 2011, pp.\n235\u2013238\n[15] K. Liu, E. Fridman, \"Wirtinger's inequality and Lyapunov-based\nsampled-data stabilization\", Automatica 48, 2012, pp. 102-108\n[16] A. Graham, \"Kronecker Products and Matrix Calculus: With\nApplications\", John Wiley & Sons, Inc., New York, 1982.\n[17] K. You, L. Xie, \"Coordination of discrete-time multi-agent systems via\nrelative output feedback,\" Int. J. Robust. Nonlinear Control, vol. 21, pp.\n1587-1605, 2011.\n[18] K. Liu, G. Xie, L. Wang, \"Consensus for multi-agent systems under\ndouble integrator dynamics with time-varying communication delays,\"\nInt. J. Robust. Nonlinear Control, DOI: 10.1002/rnc.1792"]}