The effect of network topological features, specifically the modularity or the existence of communities in the network, on the control performance, remains an unexplored problem. In this work, we investigate the role of communities in feedback control in the framework of sparsity-promoting control and structured optimal control of a Laplacian dynamics defined on a network. We find that for modular networks, the community structures in the network correspond to feedback channels necessary for maintaining control performance, and result in an advantage in total control cost over non-modular networks as the cost of feedback channels becomes significant. For decentralized control, the best control performance is approached with a decomposition according to the communities. Thus, the communities act as the 'core' of sparse feedback control. We then discuss the significance of this conclusion in understanding the behavior and evolution of networks as well as guiding the design of control strategies for large-scale and complex systems.
|Original language||English (US)|
|Title of host publication||2018 Annual American Control Conference, ACC 2018|
|Publisher||Institute of Electrical and Electronics Engineers Inc.|
|Number of pages||6|
|State||Published - Aug 9 2018|
|Event||2018 Annual American Control Conference, ACC 2018 - Milwauke, United States|
Duration: Jun 27 2018 → Jun 29 2018
|Name||Proceedings of the American Control Conference|
|Other||2018 Annual American Control Conference, ACC 2018|
|Period||6/27/18 → 6/29/18|
Bibliographical noteFunding Information:
* This work is supported by NSF-CBET 1 The authors are with Department of Chemical Engineering and Materials Science, University of Minnesota, Minneapolis, MN 55455, USA. P. Daoutidis is the corresponding author. email@example.com
© 2018 AACC.