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Title: Solving specified-time distributed optimization problem via sampled-data-based algorithm
Authors: Zhou, Jialing
Lv, Yuezu
Wen, Changyun
Wen, Guanghui
Keywords: Engineering::Electrical and electronic engineering
Issue Date: 2022
Source: Zhou, J., Lv, Y., Wen, C. & Wen, G. (2022). Solving specified-time distributed optimization problem via sampled-data-based algorithm. IEEE Transactions On Network Science and Engineering, 9(4), 2747-2758.
Journal: IEEE Transactions on Network Science and Engineering
Abstract: Despite significant advances on distributed continuous-time optimization of multi-agent networks, there is still lack of an efficient algorithm to achieve the goal of distributed optimization at a pre-specified time, especially for the case with unbalanced directed topologies. Herein, a new out-degree based design structure is proposed for connected agents with directed topologies to collectively minimize the sum of individual objective functions and keep satisfying an equality constraint. With the designed algorithm, the settling time of distributed optimization can be exactly predefined. The specified selection of such a settling time is independent of not only the initial conditions of agents, but also the algorithm parameters and the communication topologies. Furthermore, the proposed algorithm can realize specified-time optimization by exchanging information among neighbors only at discrete sampling instants and thus reduces the communication burden. In addition, the equality constraint is always satisfied during the whole process, which makes the proposed algorithm applicable to online solving distributed optimization problems such as energy resource allocation. For the special case of undirected communication topologies, a reduced-order algorithm is also designed. Finally, the effectiveness of the theoretical analysis is justified by numerical simulations.
ISSN: 2327-4697
DOI: 10.1109/TNSE.2022.3169151
Rights: © 2022 IEEE. All rights reserved.
Fulltext Permission: none
Fulltext Availability: No Fulltext
Appears in Collections:EEE Journal Articles


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