Leader-following consensus problem of multi-agent networks based on homogeneous polynomial Lyapunov functions

Chong Tan; Guang Ren Duan; Guoping Liu

Leader-following consensus problem of multi-agent networks based on homogeneous polynomial Lyapunov functions

Chong Tan^*
, Guang Ren Duan
, Guoping Liu

^*Corresponding author for this work

School of Astronautics

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

4 Scopus citations

Abstract

Leader-following consensus problem of multi-agent networks not only with switching topology but also with an active and incompletely measured leader is investigated. A criterion described by bilinear matrix inequalities is obtained based on the construction of homogeneous polynomial Lyapunov functions (HPLFs). A neighbor-based local controller and a neighbor-based state-estimation rule are designed to guarantee that: (i) each agent can follow the leader if the (acceleration) input of the active leader is known; and (ii) the tracking error is estimated if the input of the leader is unknown. Simulation results demonstrate that the larger control gain margin can be obtained by using HPLFs.

Original language	English
Title of host publication	Proceedings of the 29th Chinese Control Conference, CCC'10
Pages	5747-5752
Number of pages	6
State	Published - 2010
Event	29th Chinese Control Conference, CCC'10 - Beijing, China Duration: 29 Jul 2010 → 31 Jul 2010

Publication series

Name	Proceedings of the 29th Chinese Control Conference, CCC'10

Conference

Conference	29th Chinese Control Conference, CCC'10
Country/Territory	China
City	Beijing
Period	29/07/10 → 31/07/10

Keywords

Distributed control
Homogeneous polynomial Lyapunov functions
Leader-following consensus
Multi-agent systems

Cite this

@inproceedings{d4297c12472c4ebc815516a96fbd8167,

title = "Leader-following consensus problem of multi-agent networks based on homogeneous polynomial Lyapunov functions",

abstract = "Leader-following consensus problem of multi-agent networks not only with switching topology but also with an active and incompletely measured leader is investigated. A criterion described by bilinear matrix inequalities is obtained based on the construction of homogeneous polynomial Lyapunov functions (HPLFs). A neighbor-based local controller and a neighbor-based state-estimation rule are designed to guarantee that: (i) each agent can follow the leader if the (acceleration) input of the active leader is known; and (ii) the tracking error is estimated if the input of the leader is unknown. Simulation results demonstrate that the larger control gain margin can be obtained by using HPLFs.",

keywords = "Distributed control, Homogeneous polynomial Lyapunov functions, Leader-following consensus, Multi-agent systems",

author = "Chong Tan and Duan, \{Guang Ren\} and Guoping Liu",

year = "2010",

language = "英语",

isbn = "9787894631046",

series = "Proceedings of the 29th Chinese Control Conference, CCC'10",

pages = "5747--5752",

booktitle = "Proceedings of the 29th Chinese Control Conference, CCC'10",

note = "29th Chinese Control Conference, CCC'10 ; Conference date: 29-07-2010 Through 31-07-2010",

}

Leader-following consensus problem of multi-agent networks based on homogeneous polynomial Lyapunov functions. / Tan, Chong; Duan, Guang Ren; Liu, Guoping.
Proceedings of the 29th Chinese Control Conference, CCC'10. 2010. p. 5747-5752 5572050 (Proceedings of the 29th Chinese Control Conference, CCC'10).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - Leader-following consensus problem of multi-agent networks based on homogeneous polynomial Lyapunov functions

AU - Tan, Chong

AU - Duan, Guang Ren

AU - Liu, Guoping

PY - 2010

Y1 - 2010

N2 - Leader-following consensus problem of multi-agent networks not only with switching topology but also with an active and incompletely measured leader is investigated. A criterion described by bilinear matrix inequalities is obtained based on the construction of homogeneous polynomial Lyapunov functions (HPLFs). A neighbor-based local controller and a neighbor-based state-estimation rule are designed to guarantee that: (i) each agent can follow the leader if the (acceleration) input of the active leader is known; and (ii) the tracking error is estimated if the input of the leader is unknown. Simulation results demonstrate that the larger control gain margin can be obtained by using HPLFs.

AB - Leader-following consensus problem of multi-agent networks not only with switching topology but also with an active and incompletely measured leader is investigated. A criterion described by bilinear matrix inequalities is obtained based on the construction of homogeneous polynomial Lyapunov functions (HPLFs). A neighbor-based local controller and a neighbor-based state-estimation rule are designed to guarantee that: (i) each agent can follow the leader if the (acceleration) input of the active leader is known; and (ii) the tracking error is estimated if the input of the leader is unknown. Simulation results demonstrate that the larger control gain margin can be obtained by using HPLFs.

KW - Distributed control

KW - Homogeneous polynomial Lyapunov functions

KW - Leader-following consensus

KW - Multi-agent systems

UR - https://www.scopus.com/pages/publications/78650235722

M3 - 会议稿件

AN - SCOPUS:78650235722

SN - 9787894631046

T3 - Proceedings of the 29th Chinese Control Conference, CCC'10

SP - 5747

EP - 5752

BT - Proceedings of the 29th Chinese Control Conference, CCC'10

T2 - 29th Chinese Control Conference, CCC'10

Y2 - 29 July 2010 through 31 July 2010

ER -

Leader-following consensus problem of multi-agent networks based on homogeneous polynomial Lyapunov functions

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