Journal
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
Volume 63, Issue 12, Pages 4421-4428Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TAC.2018.2823264
Keywords
Communication delays; distributed optimization; passivity; Proportional-Integral (PI) consensus; scattering transformation
Funding
- Japan Science and Technology Agency (JST) Core Research for Evolutional Science and Technology (CREST) program [JPMJCR15K2]
- Japan Society for the Promotion of Science KAKENHI [16K06411]
- National Science Foundation (NSF) [ECCS1547127]
- JST CREST program [JPMJCR15K1]
- NSF CAREER [1553407]
- ARPA-E NODES program
- NSF [1608509]
- Grants-in-Aid for Scientific Research [16K06411] Funding Source: KAKEN
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In this paper, we address a class of distributed optimization problems in the presence of interagent communication delays based on passivity. We first focus on unconstrained distributed optimization and provide a passivity-based perspective for distributed optimization algorithms. With the help of the scattering transformation, this perspective allows us to handle arbitrary and unknown constant communication delays in the distributed optimization problem. Then, we extend the results to constrained distributed optimization. Finally, the algorithm is applied to a visual human localization problem.
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