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Distributed Reduced Order Source Identification

Publication ,  Conference
Khodayi-Mehr, R; Aquino, W; Zavlanos, MM
Published in: Proceedings of the American Control Conference
August 9, 2018

In this paper we propose a distributed approach for model-based Source Identification (SI) that minimizes communication cost and allows for on demand balancing of computational resources, based on the specifications of the sensors. Specifically, we consider the steady-state Advection-Diffusion equation which we discretize using the Finite Element (FE) method, and then apply Proper Orthogonal Decomposition to reduce the order of the model. The concentration measurements that are needed to solve the SI problem are collected by a team of mobile sensors that move in pre-assigned subdomains in the environment. We formulate an ℓ2-regularized least squares optimization problem that the sensors solve in a distributed way using the Accelerated Distributed Augmented Lagrangian method. Our formulation results in an algorithm whose communication cost is independent of the FE mesh size and its time complexity grows only linearly with it. We present simulation results that show that the proposed method can handle large-scale SI problems and compare our formulation to an alternative derivation using Alternating Direction Method of Multipliers.

Duke Scholars

Published In

Proceedings of the American Control Conference

DOI

ISSN

0743-1619

ISBN

9781538654286

Publication Date

August 9, 2018

Volume

2018-June

Start / End Page

1084 / 1089
 

Citation

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MLA
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Khodayi-Mehr, R., Aquino, W., & Zavlanos, M. M. (2018). Distributed Reduced Order Source Identification. In Proceedings of the American Control Conference (Vol. 2018-June, pp. 1084–1089). https://doi.org/10.23919/ACC.2018.8430979
Khodayi-Mehr, R., W. Aquino, and M. M. Zavlanos. “Distributed Reduced Order Source Identification.” In Proceedings of the American Control Conference, 2018-June:1084–89, 2018. https://doi.org/10.23919/ACC.2018.8430979.
Khodayi-Mehr R, Aquino W, Zavlanos MM. Distributed Reduced Order Source Identification. In: Proceedings of the American Control Conference. 2018. p. 1084–9.
Khodayi-Mehr, R., et al. “Distributed Reduced Order Source Identification.” Proceedings of the American Control Conference, vol. 2018-June, 2018, pp. 1084–89. Scopus, doi:10.23919/ACC.2018.8430979.
Khodayi-Mehr R, Aquino W, Zavlanos MM. Distributed Reduced Order Source Identification. Proceedings of the American Control Conference. 2018. p. 1084–1089.

Published In

Proceedings of the American Control Conference

DOI

ISSN

0743-1619

ISBN

9781538654286

Publication Date

August 9, 2018

Volume

2018-June

Start / End Page

1084 / 1089