Distributed Optimization in Prescribed-Time with Time-Varying Cost Functions

被引:1
作者
Chen, Yong [1 ]
Zou, Fuda [1 ]
Yu, Tao [1 ]
机构
[1] Cent South Univ, Sch Automat, Changsha 410004, Peoples R China
来源
2023 35TH CHINESE CONTROL AND DECISION CONFERENCE, CCDC | 2023年
基金
中国国家自然科学基金;
关键词
Distributed optimization; Prescribed-time convergence; Time-varying optimization; NETWORKS; ALGORITHM; CONSENSUS;
D O I
10.1109/CCDC58219.2023.10326860
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
In this paper, we study distributed optimization problems with time-varying cost functions, allowing each agent to have a different Hessian matrix. Based on the average consensus estimator and time scale function, a continuous-time time-varying distributed optimization algorithm with prescribed-time convergence is constructed. The convergence of the algorithm is analyzed by Lyapunov theory. Finally, the effectiveness of the algorithm is verified by a practical numerical simulation.
引用
收藏
页码:1849 / 1854
页数:6
相关论文
共 36 条
[1]  
Bazaraa M.S., 2006, NONLINEAR PROGRAMMIN, V3rd
[2]   Distributed Spectrum Sensing for Cognitive Radio Networks by Exploiting Sparsity [J].
Bazerque, Juan Andres ;
Giannakis, Georgios B. .
IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2010, 58 (03) :1847-1862
[3]  
Boyd S., 2004, Convex Optimization, DOI 10.1017/CBO9780511804441
[4]   A fixed-time convergent algorithm for distributed convex optimization in multi-agent systems [J].
Chen, Gang ;
Li, Zhiyong .
AUTOMATICA, 2018, 95 :539-543
[5]   Fully distributed flocking with a moving leader for Lagrange networks with parametric uncertainties [J].
Ghapani, Sheida ;
Mei, Jie ;
Ren, Wei ;
Song, Yongduan .
AUTOMATICA, 2016, 67 :67-76
[6]   Distributed Optimization in Prescribed-Time: Theory and Experiment [J].
Gong, Xin ;
Cui, Yukang ;
Shen, Jun ;
Xiong, Junlin ;
Huang, Tingwen .
IEEE TRANSACTIONS ON NETWORK SCIENCE AND ENGINEERING, 2022, 9 (02) :564-576
[7]   Robust Concurrent Attitude-Position Control of a Swarm of Underactuated Nanosatellites [J].
Haghighi, Reza ;
Pang, Chee Khiang .
IEEE TRANSACTIONS ON CONTROL SYSTEMS TECHNOLOGY, 2018, 26 (01) :77-88
[8]   A Distributed Method for Linear Programming Problems With Box Constraints and Time-Varying Inequalities [J].
Hosseinzadeh, Mehdi ;
Garone, Emanuele ;
Schenato, Luca .
IEEE CONTROL SYSTEMS LETTERS, 2019, 3 (02) :404-409
[9]   Distributed finite-time optimization for second order continuous-time multiple agents systems with time-varying cost function [J].
Hu, Zilun ;
Yang, Jianying .
NEUROCOMPUTING, 2018, 287 :173-184
[10]   Terminal Sliding Mode Control for Spacecraft Formation Flying [J].
Hui, Liu ;
Li, Junfeng .
IEEE TRANSACTIONS ON AEROSPACE AND ELECTRONIC SYSTEMS, 2009, 45 (03) :835-846