Distributed event-triggered algorithms for a class of convex optimization problems over directed networks

This paper presents two distributed event-triggered algorithms under directed communication networks to solve a class of convex optimization problems such as the economic dispatch problem (EDP) with equality constraint, while the objective of optimization is the sum of all locally convex functions....

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Veröffentlicht in:Automatica (Oxford) Jg. 122; S. 109256
Hauptverfasser: Dai, Hao, Fang, Xinpeng, Chen, Weisheng
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Elsevier Ltd 01.12.2020
Schlagworte:
Convex optimization
Directed network topology
Distributed algorithm
Equality constraint
Event-triggered communication
Directed network topology
Convex optimization
Event-triggered communication
Distributed algorithm
Equality constraint
ISSN:0005-1098, 1873-2836
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Zusammenfassung:This paper presents two distributed event-triggered algorithms under directed communication networks to solve a class of convex optimization problems such as the economic dispatch problem (EDP) with equality constraint, while the objective of optimization is the sum of all locally convex functions. One is distributed continuous-time event-triggered optimization algorithm, and the other is discrete-time algorithm based on iteration scheme. Continuous communication is not required by adopting event-triggered communication strategy. It means that the communication cost can be reduced and unnecessary waste of network resources can be avoided. Moreover, the convergence for the proposed algorithms are rigorously proved with the aid of Lyapunov stability theory under the strongly connected and weight-balanced network topology. Finally, four numerical simulations show the effectiveness and advantages of the two novel distributed event-triggered optimization algorithms.
ISSN:0005-1098
1873-2836
DOI:10.1016/j.automatica.2020.109256