A Specified-Time Distributed Optimization Algorithm for Multi-Agent Systems With Time-Varying Constraints

In this paper, a class of distributed optimization problems for multi-agent systems subject to time-varying coupling equality constraint is investigated. The global objective function is a sum of local convex objective functions and only local information is exchanged among the agents over a connect...

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Bibliographic Details
Published inIEEE transactions on automatic control pp. 1 - 8
Main Authors Zheng, Yanling, Cenedese, Carlo, Cucuzzella, Michele, Liu, Qingshan
Format Journal Article
LanguageEnglish
Published IEEE 2025
Subjects
Convergence
Cost function
Couplings
Distributed algorithms
Distributed optimization
Heuristic algorithms
Linear programming
Multi-agent systems
Optimization
Power system stability
specified-time convergence
time-varying equality constraint
Time-varying systems
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ISSN0018-9286
1558-2523
DOI10.1109/TAC.2025.3616506

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Summary:In this paper, a class of distributed optimization problems for multi-agent systems subject to time-varying coupling equality constraint is investigated. The global objective function is a sum of local convex objective functions and only local information is exchanged among the agents over a connected and undirected communication network. Based on convex optimization and Lyapunov stability theory, we show that the multi-agent system in closed loop with the proposed distributed protocol is able to converge to the time-dependent unique optimum within a specified time. Remarkably, the convergence time is independent of the initial conditions and can be specified in advance making the proposed scheme suitable for application with strict requirements on the convergence. We validate through simulations the effectiveness of the theoretical results.
ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.2025.3616506