基于边界函数量化信息通信的有向网络一致性
Consensus in Directed Networks with Boundary Function Quantized Information Communication
摘要:
基于有限水平的边界函数量化策略,本文主要研究了有向非平衡网络多个系统的加权平均一致性问题。研究发现只要固定拓扑有向网络强连通,系统能够实现加权平均一致。并且通过构造广义李雅普诺夫函数对系统的收敛性进行分析。
Abstract: In this paper, the boundary function method is proposed for the coding scheme design to solve quantized problem of multi-agent system under a general unbalanced directed network. The multi-agent system can achieve weighted average consensus as long as the directed unbalanced network is strongly connected. Moreover, via choosing a generalized quadratic Lyapunov function, this paper analyzes the convergence of the system.
参考文献
[1]
|
Carli, R., Bullo, F. and Zampieri, S. (2010) Quantized average consensus via dynamic coding/decoding schemes. International Journal of Robust and Nonlinear Control, 20, 156-175.
|
[2]
|
Li, T., Fu, M.Y., Xie, L.H. and Zhang, J.-F. (2011) Distributed consensus with limited communication data rate. IEEE Transactions on Automatic Control, 56, 279-292.
|
[3]
|
Bian, T. and Wang, Y.-W. (2012) Average consensus of multiagent systems under logarithm quantized communications. IEEE Control Automation Robotics & Visio, 46, 418-423.
|
[4]
|
Li, D.Q., Liu, Q.P., Wang, X.F. and Lin, Z.L. (2013) Consensus seeking over directed networks with limited information communication. Automatica, 49, 610-618.
|
[5]
|
Li, D.Q., Liu, Q.P., Wang, X.F. and Yin, Z.X. (2013) Quantized consensus over directed networks with switching topologies. System and Control Letters, Accepted.
|
[6]
|
Li, T. and Xie, L. (2011) Distributed consensus over digital networks with limited bandwidth and time-varying topologies. Automatica, 47, 2006-2015.
|
[7]
|
Wang, J. and Yan, Z. (2012) Coding scheme based on boundary function for consensus control of multi-agent system with timevarying topology. IET Control Theory Apply, 6, 1527-1535.
|
[8]
|
Horn, R.A. and Johnson, C.R. (1985) Matrix analysis. Cambridge University Press, Cambridge, 33-57.
|