受扰多智能体系统的分布式固定时间资源分配算法OA
Distributed fixed-time resource allocation algorithm of disturbed multi-agent systems
针对受扰动多智能体系统的资源分配问题,本文研究了一种固定时间收敛的分布式优化算法.提出的算法采用滑模控制以抵消有界扰动对智能体状态演化的影响,并用改进分布式加权梯度算法求取资源分配问题的最优解.基于凸优化理论和固定时间李雅普诺夫理论的稳定性分析表明,提出的算法在不依赖初始值的固定时间内收敛到最优解.相比现有鲁棒分布式固定时间资源分配算法,本文算法具有异构控制增益和无初始化的特征.最后,数值仿真验证了本文理论结果的有效性和优越性.
This paper studies a fixed-time convergent distributed optimization algorithm for the resource allocation problem of multi-agent systems with disturbances.The proposed algorithm employs sliding mode control to counteract the influence of bounded disturbances on the agents' state evolution and utilizes an improved distributed weighted gradi-ent algorithm to seek the optimal solution of the resource allocation problem.The stability analysis based on the convex optimization and the fixed-time Lyapunov theory indicates that the proposed algorithm converges to the optimal solution within a fixed time independent of the initial values.Compared with the existing robust distributed fixed-time resource al-location algorithms,the proposed algorithm features heterogeneous control gains and initialization-free.Finally,numerical simulations validate the effectiveness and superiority of the theoretical results.
李志勇;张豪;陈勇
西南交通大学电气工程学院,四川成都 611756重庆大学自动化学院,重庆 400044西南交通大学电气工程学院,四川成都 611756
多智能体系统资源分配问题有界扰动分布式优化固定时间收敛
multi-agent systemsresource allocation problembounded disturbancesdistributed optimizationfixed-time convergence
《控制理论与应用》 2026 (8)
1687-1694,8
中央高校基本科研业务费项目(2682024CX006,2682024CX008),国家自然科学基金项目(62303383),安徽大学教育部电能质量工程研究中心开放课题项目(KFKT202406),四川省自然科学基金项目(2024NSFSC1493)资助.Supported by the Fundamental Research Funds for the Central Universities(2682024CX006,2682024CX008),the National Natural Science Foun-dation of China(62303383),the Open Project of the Engineering Research Center of Power Quality of Ministry of Education,Anhui University(KFKT202406)and the Natural Science Foundation of Sichuan Province of China(2024NSFSC1493).
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