Event-triggered zero-gradient-sum distributed consensus optimization over directed networks

被引:198
作者
Chen, Weisheng [1 ]
Ren, Wei [2 ]
机构
[1] Xidian Univ, Sch Aerosp Sci & Technol, Xian 710071, Peoples R China
[2] Univ Calif Riverside, Dept Elect & Comp Engn, Riverside, CA 92521 USA
基金
美国国家科学基金会; 中国国家自然科学基金;
关键词
Consensus; Event-triggered scheme; Distributed optimization; Directed network; CONVEX-OPTIMIZATION; ALGORITHMS;
D O I
10.1016/j.automatica.2015.11.015
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
This paper focuses on the event-triggered zero-gradient-sum algorithms for a distributed convex optimization problem over directed networks. The communication process is driven by trigger conditions monitored by nodes. The proposed trigger conditions are decentralized and just depend on each node's own state. In the continuous-time case, we propose an algorithm based on a sample-based monitoring scheme. In the discrete-time case, we propose a new event-triggered zero-gradient-sum algorithm which is suitable for more general network models. It is proved that two proposed event-triggered algorithms are exponentially convergent if the design parameters are chosen properly and the network topology is strongly connected and weight-balanced. Finally, we illustrate the advantages of the proposed algorithms by numerical simulation. (C) 2015 Elsevier Ltd. All rights reserved.
引用
收藏
页码:90 / 97
页数:8
相关论文
共 27 条
[1]   Distributed Event-Triggered Control for Multi-Agent Systems [J].
Dimarogonas, Dimos V. ;
Frazzoli, Emilio ;
Johansson, Karl H. .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2012, 57 (05) :1291-1297
[2]   Dual Averaging for Distributed Optimization: Convergence Analysis and Network Scaling [J].
Duchi, John C. ;
Agarwal, Alekh ;
Wainwright, Martin J. .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2012, 57 (03) :592-606
[3]   Distributed event-triggered control of multi-agent systems with combinational measurements [J].
Fan, Yuan ;
Feng, Gang ;
Wang, Yong ;
Song, Cheng .
AUTOMATICA, 2013, 49 (02) :671-675
[4]   Distributed Continuous-Time Convex Optimization on Weight-Balanced Digraphs [J].
Gharesifard, Bahman ;
Cortes, Jorge .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2014, 59 (03) :781-786
[5]   Cooperative Convex Optimization in Networked Systems: Augmented Lagrangian Algorithms With Directed Gossip Communication [J].
Jakovetic, Dusan ;
Xavier, Joao ;
Moura, Jose M. F. .
IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2011, 59 (08) :3889-3902
[6]   Distributed Random Projection Algorithm for Convex Optimization [J].
Lee, Soomin ;
Nedic, Angelia .
IEEE JOURNAL OF SELECTED TOPICS IN SIGNAL PROCESSING, 2013, 7 (02) :221-229
[7]   Designing Games for Distributed Optimization [J].
Li, Na ;
Marden, Jason R. .
IEEE JOURNAL OF SELECTED TOPICS IN SIGNAL PROCESSING, 2013, 7 (02) :230-242
[8]   Distributed Subgradient Methods for Convex Optimization Over Random Networks [J].
Lobel, Ilan ;
Ozdaglar, Asuman .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2011, 56 (06) :1291-1306
[9]   Zero-Gradient-Sum Algorithms for Distributed Convex Optimization: The Continuous-Time Case [J].
Lu, Jie ;
Tang, Choon Yik .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2012, 57 (09) :2348-2354
[10]   Gossip Algorithms for Convex Consensus Optimization Over Networks [J].
Lu, Jie ;
Tang, Choon Yik ;
Regier, Paul R. ;
Bow, Travis D. .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2011, 56 (12) :2911-2918