Optimal Consensus of Multi-agent Systems with General Unstable Discrete-time Linear Dynamics

被引：0

作者：

Li, Huiping ^{[1
]}

Yan, Weisheng ^{[1
]}

Shi, Yang ^{[2
]}

机构：

[1] Northwestern Polytech Univ, Sch Marine Sci & Technol, Xian 710072, Peoples R China

[2] Univ Victoria, Dept Mech Engn, Victoria, BC, Canada

来源：

2016 AMERICAN CONTROL CONFERENCE (ACC) | 2016年

基金：

中国国家自然科学基金;

关键词：

RECEDING HORIZON CONTROL; MODEL-PREDICTIVE CONTROL; NONLINEAR-SYSTEMS; NETWORKS; DISTURBANCES; TOPOLOGIES; STABILITY; AGENTS; DELAYS;

D O I：

暂无

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 is concerned with the optimal consensus problem of multi-agent systems (MASs) with general unstable linear dynamics. The main tool for the design and analysis is the inverse optimality and set stability theory. Firstly, the optimal conditions for ensuring set stability are developed for discrete-time linear systems in terms of the inverse optimality principle. Then for the MASs with unstable dynamics, the approach to designing the optimal consensus protocol is proposed, and the detailed design conditions are developed. Based on the set stability theory, the consensus properties are proved. Finally, a simulation study is provided to verify the effectiveness of the proposed method.

引用

页码：2840 / 2845

页数：6

共 23 条

[1] Distributed LQR design for identical dynamically decoupled systems [J].

Borrelli, Francesco ;

Keviczky, Tamas .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2008, 53 (08) :1901-1912

[2] An Overview of Recent Progress in the Study of Distributed Multi-Agent Coordination [J].

Cao, Yongcan ;

Yu, Wenwu ;

Ren, Wei ;

Chen, Guanrong .

IEEE TRANSACTIONS ON INDUSTRIAL INFORMATICS, 2013, 9 (01) :427-438

[3] Optimal Linear-Consensus Algorithms: An LQR Perspective [J].

Cao, Yongcan ;

Ren, Wei .

IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART B-CYBERNETICS, 2010, 40 (03) :819-830

[4] Distributed receding horizon control for multi-vehicle formation stabilization [J].

Dunbar, WB ;

Murray, RM .

AUTOMATICA, 2006, 42 (04) :549-558

[5] Model Predictive Control Schemes for Consensus in Multi-Agent Systems with Single- and Double-Integrator Dynamics [J].

Ferrari-Trecate, Giancarlo ;

Galbusera, Luca ;

Marciandi, Marco Pietro Enrico ;

Scattolini, Riccardo .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2009, 54 (11) :2560-2572

[6] Cooperative constrained control of distributed agents with nonlinear dynamics and delayed information exchange: A stabilizing receding-horizon approach [J].

Franco, Elisa ;

Magni, Lalo ;

Parisini, Thomas ;

Polycarpou, Marios M. ;

Raimondo, Davide M. .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2008, 53 (01) :324-338

[7] Cooperative Optimal Control for Multi-Agent Systems on Directed Graph Topologies [J].

Hengster-Movric, Kristian ;

Lewis, Frank L. .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2014, 59 (03) :769-774

[8] A converse Lyapunov theorem for discrete-time systems with disturbances [J].

Jiang, ZP ;

Wang, Y .

SYSTEMS & CONTROL LETTERS, 2002, 45 (01) :49-58

[9]

Lewis F.L., 1986, OPTIMAL CONTROL

[10] On Neighbor Information Utilization in Distributed Receding Horizon Control for Consensus-Seeking [J].

Li, Huiping ;

Shi, Yang ;

Yan, Weisheng .

IEEE TRANSACTIONS ON CYBERNETICS, 2016, 46 (09) :2019-2027

← 1 2 3 →