Passivity-based consensus for linear multi-agent systems under switching topologies

被引：0
作者：
Feng Z. [1 ]
Hu G. [1 ]
机构：
[1] School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore
来源：
Hu, Guoqiang | 1600年 / South China University of Technology卷 / 12期
关键词：
Consensus; Linear multi-agent systems; Networks with switching topology; Passivity and passification;
D O I：
10.1007/s11768-014-4096-9
中图分类号：
学科分类号：
摘要：
This paper studies the passivity-based consensus analysis and synthesis problems for a class of stochastic multi-agent systems with switching topologies. Based on Lyapunov methods, stochastic theory, and graph theory, new different storage Lyapunov functions are proposed to derive sufficient conditions on mean-square exponential consensus and stochastic passivity for multi-agent systems under two different switching cases, respectively. By designing passive time-varying consensus protocols, the solvability conditions for the passivity-based consensus protocol synthesis problem, i.e., passification, are derived based on linearization techniques. Numerical simulations are provided to illustrate the effectiveness of the proposed methods. © 2014, South China University of Technology, Academy of Mathematics and Systems Science, Chinese Academy of Sciences and Springer-Verlag Berlin Heidelberg.
引用
收藏
页码：304 / 316
页数：12
相关论文
共 40 条
  • [1] Olfati-Saber R., Murray R.M., Consensus problems in networks of agents with switching topology and time-delays, IEEE Transactions on Automatic Control, 49, 9, pp. 1520-1533, (2004)
  • [2] Ren W., Beard R.W., Consensus seeking in multi-agent systems under dynamically changing interaction topologies, IEEE Transactions on Automatic Control, 50, 5, pp. 655-661, (2005)
  • [3] Hong Y., Hu J., Gao L., Tracking control for multi-agent consensus with an active leader and variable topology, Automatica, 42, 7, pp. 1177-1182, (2006)
  • [4] Xie G., Wang L., Consensus control for a class of networks of dynamic agents, International Journal of Robust Nonlinear Control, 17, 10, pp. 941-959, (2007)
  • [5] Olfati-Saber R., Flocking for multi-agent dynamic systems: algorithms and theory, IEEE Transactions on Automatic Control, 51, 3, pp. 401-420, (2006)
  • [6] Olfati-Saber R., Fax J.A., Murray R.M., Consensus and cooperation in networked multi-agent systems, Proceedings of the IEEE, 95, 1, pp. 215-233, (2007)
  • [7] Ren W., Beard R.W., Atkins E.M., Information consensus in multivehicle cooperative control, IEEE Control Systems Magazine, 27, 2, pp. 71-82, (2007)
  • [8] Lafferriere G., Williams A., Caughman J., Et al., Decentralized control of vehicle formations, Systems & Control Letters, 54, 9, pp. 899-910, (2005)
  • [9] Olfati-Saber R., Shamma J.S., Consensus filters for sensor networks and distributed sensor fusion, Proceedings of the 44th IEEE Conference on Decision and Control, and the European Conference, pp. 6698-6703, (2005)
  • [10] Qing H., Finite-time rendezvous algorithms for mobile autonomous agents, IEEE Transactions on Automatic Control, 56, 1, pp. 401-420, (2011)
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