Journal
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
Volume 27, Issue 9, Pages 1462-1479Publisher
WILEY
DOI: 10.1002/rnc.3811
Keywords
cluster synchronization; coupled linear systems; nonidentical systems; graph topology
Funding
- Hong Kong RGC Earmarked Grant [CUHK 14208314]
- Guangdong Natural Science Foundation [1614050001452]
- Guangdong Science and Technology Program [2013B010 406005, 2015B010128009]
Ask authors/readers for more resources
This paper considers the cluster synchronization problem of generic linear dynamical systems whose system models are distinct in different clusters. These nonidentical linear models render control design and coupling conditions highly correlated if static couplings are used for all individual systems. In this paper, a dynamic coupling structure, which incorporates a global weighting factor and a vanishing auxiliary control variable, is proposed for each agent and is shown to be a feasible solution. Lower bounds on the global and local weighting factors are derived under the condition that every interaction subgraph associated with each cluster admits a directed spanning tree. The spanning tree requirement is further shown to be a necessary condition when the clusters connect acyclically with each other. Simulations for two applications, cluster heading alignment of nonidentical ships and cluster phase synchronization of nonidentical harmonic oscillators, illustrate essential parts of the derived theoretical results. Copyright (C) 2017 JohnWiley & Sons, Ltd.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available