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抗干扰的多智能体系统固定时间分布式优化算法

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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。
Fixed-time distributed optimization algorithm for multi-agent systems with disturbance resistance
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.

fixed-time convergencedistributed controlmulti-agent systemsdisturbance resistancestate constraintconvex optimization

耿超、武永宝、孙佳、刘剑、薛磊

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东南大学苏州联合研究生院,江苏苏州 215123

东南大学自动化学院,南京 210096

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

国家自然科学基金项目国家自然科学基金项目江苏省自然科学基金项目安徽省重点研究与开发计划项目中央高校基本科研基金东南大学"至善"人才基金项目

6227309462103100BK202020062022i010200132242021R40010

2024

10.13195/j.kzyjc.2022.0626

控制与决策
东北大学

控制与决策

CSTPCD北大核心
影响因子：1.227
ISSN：1001-0920
年,卷(期)：2024.39(2)
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