Distributed optimization of multi-agent systems with time-invariant and time-varying cost functions

IF 2.5 3区计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS

European Journal of Control Pub Date : 2025-04-15 DOI:10.1016/j.ejcon.2025.101222

Kai Weng , Yan Ren , Liyun Zhao , Siyu Gao

引用次数: 0

Abstract

This study investigated the distributed optimization problem of multi-agent systems (MASs). The aim was to design optimization algorithms for two cases where the cost function was time-invariant and time-varying to allow the system to reach the global optimum. First, a zero-gradient-sum (ZGS) distributed optimization algorithm based on second-order Hessian matrix information was designed to solve the time-invariant cost function optimization problem and allow the system to converge to the optimal state quickly in a fixed-time. Second, considering the case of a time-varying cost function, a distributed optimization algorithm based on a prediction–correction structure was designed by improving the above algorithm. This algorithm allows a system to converge to an optimal trajectory within a fixed-time. Finally, simulations were conducted to demonstrate the effectiveness of the control algorithms.

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具有时变和时变成本函数的多代理系统的分布式优化

研究了多智能体系统（MASs）的分布式优化问题。目的是设计两种情况下的优化算法，其中成本函数是时不变的和时变的，以使系统达到全局最优。首先，设计了一种基于二阶Hessian矩阵信息的零梯度和（ZGS）分布式优化算法，解决定常代价函数优化问题，使系统在固定时间内快速收敛到最优状态；其次，考虑时变代价函数的情况，在此基础上改进了基于预测校正结构的分布式优化算法。该算法允许系统在固定时间内收敛到最优轨迹。最后，通过仿真验证了控制算法的有效性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

European Journal of Control 工程技术-自动化与控制系统

CiteScore

5.80

自引率

5.90%

发文量

131

审稿时长

1 months

期刊介绍： The European Control Association (EUCA) has among its objectives to promote the development of the discipline. Apart from the European Control Conferences, the European Journal of Control is the Association''s main channel for the dissemination of important contributions in the field. The aim of the Journal is to publish high quality papers on the theory and practice of control and systems engineering. The scope of the Journal will be wide and cover all aspects of the discipline including methodologies, techniques and applications. Research in control and systems engineering is necessary to develop new concepts and tools which enhance our understanding and improve our ability to design and implement high performance control systems. Submitted papers should stress the practical motivations and relevance of their results. The design and implementation of a successful control system requires the use of a range of techniques: Modelling Robustness Analysis Identification Optimization Control Law Design Numerical analysis Fault Detection, and so on.