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

被引：0
|
作者：
Geng C. [1 ]
Wu Y.-B. [2 ]
Sun J. [2 ]
Liu J. [2 ]
Xue L. [2 ]
机构：
[1] Southeast University, Monash University Joint Graduate School, Southeast University, Suzhou
[2] School of Automation, Southeast University, Nanjing
来源：
Kongzhi yu Juece/Control and Decision | 2024年 / 39卷 / 02期
关键词：
convex optimization; distributed control; disturbance resistance; fixed-time convergence; multi-agent systems; state constraint;
D O I：
10.13195/j.kzyjc.2022.0626
中图分类号：
学科分类号：
摘要：
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. © 2024 Northeast University. All rights reserved.
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页码：527 / 535
页数：8
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