控制理论与应用2026，Vol.43Issue(8)：1687-1694,8.DOI:10.7641/CTA.2025.40192
受扰多智能体系统的分布式固定时间资源分配算法
Distributed fixed-time resource allocation algorithm of disturbed multi-agent systems
摘要
Abstract
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.关键词
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Key words
multi-agent systems/resource allocation problem/bounded disturbances/distributed optimization/fixed-time convergence引用本文复制引用
李志勇,张豪,陈勇..受扰多智能体系统的分布式固定时间资源分配算法[J].控制理论与应用,2026,43(8):1687-1694,8.基金项目
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). （2682024CX006,2682024CX008）
