Finite-time consensus of second-order leader-following multi-agent systems without velocity measurements

被引：66

作者：

Zhang, Yanjiao ^{[1
]}

Yang, Ying ^{[1
]}

机构：

[1] Peking Univ, Coll Engn, Dept Mech & Aerosp Engn, State Key Lab Turbulence & Complex Syst, Beijing 100871, Peoples R China

来源：

PHYSICS LETTERS A | 2013年 / 377卷 / 3-4期

基金：

中国国家自然科学基金;

关键词：

Second-order multi-agent system; Finite-time consensus tracking; Finite-time containment control; Input saturation; Directed graph; COMPLEX NETWORKS; COUPLING DELAYS; SYNCHRONIZATION; AGENTS;

D O I：

10.1016/j.physleta.2012.10.055

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

This Letter investigates the finite-time consensus problems of second-order multi-agent systems in the presence of one and multiple leaders under a directed graph. Specifically, we propose two bounded control laws, which are independent of velocity information, to deal with the finite-time consensus tracking problem with one leader and the finite-time containment control problem with multiple leaders, respectively. With the aid of homogeneous theory, some sufficient conditions are established for the achievement of the finite-time tracking control problem of second-order multi-agent systems. Numerical examples are finally provided to illustrate the theoretical results. (C) 2012 Published by Elsevier B.V.

引用

页码：243 / 249

页数：7

共 33 条

[1]

[Anonymous], P IEEE AM CONTR C

[2] Continuous finite-time stabilization of the translational and rotational double integrators [J].

Bhat, SP ;

Bernstein, DS .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1998, 43 (05) :678-682

[3] Finite-time convergent gradient flows with applications to network consensus [J].

Cortés, Jorge .

AUTOMATICA, 2006, 42 (11) :1993-2000

[4] Consequence of reputation in the Sznajd consensus model [J].

Crokidakis, Nuno ;

Forgerini, Fabricio L. .

PHYSICS LETTERS A, 2010, 374 (34) :3380-3383

[5] Leader-follower cooperative attitude control of multiple rigid bodies [J].

Dimarogonas, Dimos V. ;

Tsiotras, Panagiotis ;

Kyriakopoulos, Kostas J. .

SYSTEMS & CONTROL LETTERS, 2009, 58 (06) :429-435

[6] Consensus of second-order multi-agent dynamic systems with quantized data [J].

Guan, Zhi-Hong ;

Meng, Cheng ;

Liao, Rui-Quan ;

Zhang, Ding-Xue .

PHYSICS LETTERS A, 2012, 376 (04) :387-393

[7]

Hong Y., 2001, IEEE T AUTOMATIC CON, V46, P950

[8] Finite-time control for robot manipulators [J].

Hong, YG ;

Xu, YS ;

Huang, J .

SYSTEMS & CONTROL LETTERS, 2002, 46 (04) :243-253

[9] Finite-Time Rendezvous Algorithms for Mobile Autonomous Agents [J].

Hui, Qing .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2011, 56 (01) :207-211

[10] Robust Finite-Time Consensus Tracking Algorithm for Multirobot Systems [J].

Khoo, Suiyang ;

Xie, Lihua ;

Man, Zhihong .

IEEE-ASME TRANSACTIONS ON MECHATRONICS, 2009, 14 (02) :219-228

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