Optimal consensus control models on the sphere

In this paper, we investigate the consensus models on the sphere with control signals, where both the first and second order systems are considered. We provide the existence of the optimal control-trajectory pair and derive the first order optimality condition taking the form of the Pontryagin Minim...

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Bibliographic Details
Published in:Results in control and optimization 2023-03, Vol.10, p.100203, Article 100203
Main Authors: Huang, Hui, Park, Hansol
Format: Article
Language:English
Subjects:
Aggregation
Optimal control
Pontryagin Minimum Principle
Swarm sphere model
Synchronization
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Online Access:Get full text
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Summary:In this paper, we investigate the consensus models on the sphere with control signals, where both the first and second order systems are considered. We provide the existence of the optimal control-trajectory pair and derive the first order optimality condition taking the form of the Pontryagin Minimum Principle. Numeric simulations are also presented to show that the obtained optimal control can help to accelerate the process of reaching a consensus.
ISSN:2666-7207
2666-7207
DOI:10.1016/j.rico.2023.100203