A Predefined-Time Consensus Algorithm of Multi-Agent System for Distributed Constrained Optimization

This article proposes a multi-agent system with predefined-time consensus to solve distributed optimization problem subject to inconsistent constraint sets. Under some derived conditions, the predefined-time consensus of multi-agent system is guaranteed. Meanwhile, the states of agents are convergen...

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Veröffentlicht in:	IEEE transactions on network science and engineering Jg. 11; H. 1; S. 957 - 968
Hauptverfasser:	Li, Kaixuan, Hu, Qilong, Liu, Qingshan, Zeng, Zhigang, Cheng, Fan
Format:	Journal Article
Sprache:	Englisch
Veröffentlicht:	Piscataway IEEE 01.01.2024 The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Schlagworte:	Algorithms communication network Constraints Convergence distributed constrained optimization fixed-time consensus Linear programming multi-agent system Multi-agent systems Multiagent systems Optimal solution Optimization Privacy Resource management Sensors
ISSN:	2327-4697, 2334-329X
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Abstract	This article proposes a multi-agent system with predefined-time consensus to solve distributed optimization problem subject to inconsistent constraint sets. Under some derived conditions, the predefined-time consensus of multi-agent system is guaranteed. Meanwhile, the states of agents are convergent with consensus to an optimal solution of the distributed constrained optimization. Compared to the system with finite time consensus, the proposed system has a fixed time consensus that can be estimated in advance. The suggested system for distributed constrained optimization not requires objective functions have a specific form and smooth. It suitable for the problem with bounded sub-differential of objective function and unbound gradient of objective function. Simulation results validate the theoretical analysis.
AbstractList	This article proposes a multi-agent system with predefined-time consensus to solve distributed optimization problem subject to inconsistent constraint sets. Under some derived conditions, the predefined-time consensus of multi-agent system is guaranteed. Meanwhile, the states of agents are convergent with consensus to an optimal solution of the distributed constrained optimization. Compared to the system with finite time consensus, the proposed system has a fixed time consensus that can be estimated in advance. The suggested system for distributed constrained optimization not requires objective functions have a specific form and smooth. It suitable for the problem with bounded sub-differential of objective function and unbound gradient of objective function. Simulation results validate the theoretical analysis.
Author	Hu, Qilong Li, Kaixuan Liu, Qingshan Cheng, Fan Zeng, Zhigang
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SubjectTerms	Algorithms communication network Constraints Convergence distributed constrained optimization fixed-time consensus Linear programming multi-agent system Multi-agent systems Multiagent systems Optimal solution Optimization Privacy Resource management Sensors
Title	A Predefined-Time Consensus Algorithm of Multi-Agent System for Distributed Constrained Optimization
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