Synchronization of Dynamical Networks by Network Control

被引:34
作者
Liu, Tao [1 ]
Hill, David J. [2 ]
Zhao, Jun [3 ]
机构
[1] Australian Natl Univ, Res Sch Engn, Canberra, ACT 0200, Australia
[2] Univ Sydney, Sch Elect & Informat Engn, Sydney, NSW 2006, Australia
[3] Northeastern Univ, Coll Informat Sci & Engn, Shenyang 110004, Peoples R China
基金
澳大利亚研究理事会;
关键词
Distributed control; dynamical networks; optimization; switching control; synchronization; SWITCHING TOPOLOGY; MODEL;
D O I
10.1109/TAC.2011.2174691
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
In this note, we study locally controlled synchronization of a dynamical network by introducing a distributed controller which has a different network structure from the original network. We refer to this configuration as a feedback network. To reflect practical reality, a cost function is considered to constrain the controller, and then the constrained controller design problem is transformed into a mixed-integer nonlinear optimization problem. In addition, when a single controller cannot be found under the constraint, a switching controller is designed by a Lyapunov function method. The convex combination technique is used to design the synchronizing switching signal between the candidate controllers, and its coefficients are given by the solution of a convex optimization problem. We also provide a feasible way to construct the candidate controllers, and give a numerical example which demonstrates the effectiveness of the proposed results.
引用
收藏
页码:1574 / 1580
页数:8
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