Distributed constrained optimization by singular perturbation method and its application to energy networks by real-time implementation

PH Hoang, G Ozkan, PR Badr, B Papari… - … Energy, Grids and …, 2021 - Elsevier
This paper proposes a new algorithm to a distributed constrained optimization problem with
an undirected and connected network. The singular perturbation, dynamic average
consensus, and saddle point dynamics methods are utilized to construct a dynamical system
to seek global optimality. The theoretical guarantee on the optimality of the solutions is
provided as it is proved that the constructed system is semi-globally practically
asymptotically stable. The algorithm is further validated by an experiment on controller …
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