摘要
针对一阶多智能体系统提出一种抗干扰的分布式控制算法,在固定时间内解决具有状态约束和外部扰动存在情况下的多智能体系统凸优化问题.该算法分为两部分:第1部分使得每个智能体在任意初始条件下都能在固定时间内收敛到一致;第2部分在满足状态约束条件的同时,使所有局部目标函数的总和在固定时间内取得最小值.该算法能够在外部有界扰动存在的情况下抑制干扰信号,获得最优解,且收敛时间不受初始状态和外部扰动的影响,可以根据任务需求离线地预分配任务建立时间.利用凸优化和固定时间李雅普诺夫稳定性理论证明算法在有界扰动存在时的固定时间收敛性,最后通过智能电网中经济调度问题的实例验证算法的有效性和优越性.
This paper presents an anti-interference distributed algorithm,which can solve the convex optimization problem of first-order multi-agent systems with the state constraint and external bounded disturbance in a fixed-time.The designed algorithm is divided into two parts.The first part makes every agent converge to consensus in a fixed-time under any initial conditions.The second part minimizes the sum of all local objective functions in a fixed-time while satisfying the constraint condition.This algorithm can restrain the bounded interference signal and finally obtain the optimal solution.The setup time can be pre-allocated off-line according to task needs,regardless of the initial states of the agents and in the presence of bounded disturbances.By means of the convex optimization and fixed-time Lyapunov theory,the convergence of the algorithm in a fixed-time is proved when the bounded disturbance exists.Finally,the effectiveness and superiority of the algorithm is verified by an example of economic dispatch in smart grid.
作者
耿超
武永宝
孙佳
刘剑
薛磊
GENG Chao;WU Yong-bao;SUN Jia;LIU Jian;XUE Lei(Southeast University-Monash University Joint Graduate School,Southeast University,Suzhou 215123,China;School of Automation,Southeast University,Nanjing 210096,China)
出处
《控制与决策》
EI
CSCD
北大核心
2024年第2期527-535,共9页
Control and Decision
基金
国家自然科学基金项目(62273094,62103100)
江苏省自然科学基金项目(BK20202006)
安徽省重点研究与开发计划项目(2022i01020013)
中央高校基本科研基金东南大学“至善”人才基金项目(2242021R40010)。
关键词
固定时间收敛
分布式控制
多智能体系统
抗干扰
状态约束
凸优化
fixed-time convergence
distributed control
multi-agent systems
disturbance resistance
state constraint
convex optimization
