Consensus of High-Order Integrators With a Communication Delay

• Journal title : Journal of IKEEE
• Volume 19, Issue 4,  2015, pp.520-525
• Publisher : Institude of Korean Electrical and Electronics Engineers
• DOI : 10.7471/ikeee.2015.19.4.520
Title & Authors
Consensus of High-Order Integrators With a Communication Delay
Lee, Sungryul;

Abstract
This paper investigates the consensus problem for high-order integrators with an arbitrary large communication delay. In order to solve this problem, new consensus controller with an additional design parameter that can eliminate the effect of a communication delay on the consensus problem is proposed. Also, it is proved that the proposed consensus controller can always solve the consensus problem of high-order integrators even in the presence of an arbitrarily large communication delay. Finally, an illustrative example is given in order to show the effectiveness of our design method.
Keywords
high-order integrators;consensus;communication delay;undirected graph;controller;
Language
Korean
Cited by
References
1.
R. Olfati-Saber, and R. Murray, "Consensus Problems in Networks of Agents With Switching Topology and Time-Delays," IEEE Trans. Automat. Control, vol. 49, no. 9, pp. 1520-1533, 2004.

2.
J. Seo, H. Shim, and J. Back, "Consensus of high-order linear systems using dynamic output feedback compensator: Low gain approach," Automatica, vol. 45, pp. 2659-2664, 2009.

3.
P. Wieland, R. Sepulchre, and F. Allgower, "An internal model principle is necessary and sufficient for linear output synchronization," Automatica, vol. 47, pp. 1068-1074, 2011.

4.
Z. Li, Z. Duan, G. Chen, and L. Huang, "Consensus of Multiagent Systems and Synchronization of Complex Networks: A Unified Viewpoint," IEEE Trans. Circuits & Systems-I: Regular Papers, vol. 57, no. 1, pp. 213-224, 2010.

5.
H. L. Trentelman, K. Takaba, and N. Monshizadeh, "Robust Synchronization of Uncertain Linear Multi-Agent Systems," IEEE Trans. On Automat. Contr., vol.58, no.6, pp 1511-1523, June 2013

6.
Z. Li, W. Ren, X. Liu, and M. Fu, "Consensus of Multi-Agent Systems With General Linear and Lipschitz Nonlinear Dynamics Using Distributed Adaptive Protocols," IEEE Trans. Automat. Control, vol. 58, no. 7, pp.1786-1791, 2013.

7.
P. Lin, Y. Jia, and L. Li, "Distributed robust H infinite consensus control in directed networks of agents with time-delay," Systems & Control Letters, vol. 57, pp. 643-653, 2008.

8.
Y.G. Sun and L. Wang, "Consensus of Multi-Agent Systems in Directed Networks With Nonuniform Time-Varying Delays," IEEE Trans. Automat. Control, vol. 54, no. 7, pp. 1607-1613, 2009.

9.
Y. Cui, and Y. Jia, "$L_{2}-L_{\infty}$ consensus control for high-order multi-agent systems with switching topologies and time-varying delays," IET Control Thoery & Applications, vol.6, iss.12. pp.1933-1940, 2012

10.
X. Liu, W. Lu, and T. Chen, "Consensus of Multi-Agent Systems With Unbounded Time-Varying Delays," IEEE Trans. Automat. Contr., vol.55, no.10, pp.2396-2401, Oct. 2010.

11.
P. Lin and Y. Jia, "Consensus of a Class of Second-Order Multi-Agent Systems With Time-Delay and Jointly-Connected Topologies," IEEE Trans. Automat. Contr., vol.55, no.3, pp.778-784, Mar. 2010.

12.
Z. Lin, Low gain feedback, Springer, 1999