Containment control protocol and its convergence speed analysis for double-integrator dynamics systems

Anhui Zhang; Jian Chen; Xianren Kong; Feng Wang

Containment control protocol and its convergence speed analysis for double-integrator dynamics systems

Anhui Zhang
, Jian Chen^*
, Xianren Kong
, Feng Wang

^*Corresponding author for this work

School of Astronautics

Harbin Institute of Technology
National and Local United Engineering Research Center of Small Satellite Technology

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

A general containment control algorithm is proposed for distributed coordinated control of double-integrator dynamics system with multiple leaders. Necessary and sufficient conditions on convergence are presented based on the control gains and system Laplacian eigenvalues. Furthermore, the influences of control gains and the information topology on system convergence rate are investigated. Specifically, the control gains which achieve maximal convergence rate are given, and it is proved by using Weyl theorem that the system convergence rate can be improved by adding information links. Finally, numerical simulations are given to illustrate the main results.

Original language	English
Pages (from-to)	1-8
Number of pages	8
Journal	Harbin Gongye Daxue Xuebao/Journal of Harbin Institute of Technology
Volume	46
Issue number	9
State	Published - 30 Sep 2014

Keywords

Algebraic graph theory
Containment control
Convergence speed
Distributed coordinated control
Multiple leaders

Cite this

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title = "Containment control protocol and its convergence speed analysis for double-integrator dynamics systems",

abstract = "A general containment control algorithm is proposed for distributed coordinated control of double-integrator dynamics system with multiple leaders. Necessary and sufficient conditions on convergence are presented based on the control gains and system Laplacian eigenvalues. Furthermore, the influences of control gains and the information topology on system convergence rate are investigated. Specifically, the control gains which achieve maximal convergence rate are given, and it is proved by using Weyl theorem that the system convergence rate can be improved by adding information links. Finally, numerical simulations are given to illustrate the main results.",

keywords = "Algebraic graph theory, Containment control, Convergence speed, Distributed coordinated control, Multiple leaders",

author = "Anhui Zhang and Jian Chen and Xianren Kong and Feng Wang",

year = "2014",

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language = "英语",

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TY - JOUR

T1 - Containment control protocol and its convergence speed analysis for double-integrator dynamics systems

AU - Zhang, Anhui

AU - Chen, Jian

AU - Kong, Xianren

AU - Wang, Feng

PY - 2014/9/30

Y1 - 2014/9/30

N2 - A general containment control algorithm is proposed for distributed coordinated control of double-integrator dynamics system with multiple leaders. Necessary and sufficient conditions on convergence are presented based on the control gains and system Laplacian eigenvalues. Furthermore, the influences of control gains and the information topology on system convergence rate are investigated. Specifically, the control gains which achieve maximal convergence rate are given, and it is proved by using Weyl theorem that the system convergence rate can be improved by adding information links. Finally, numerical simulations are given to illustrate the main results.

AB - A general containment control algorithm is proposed for distributed coordinated control of double-integrator dynamics system with multiple leaders. Necessary and sufficient conditions on convergence are presented based on the control gains and system Laplacian eigenvalues. Furthermore, the influences of control gains and the information topology on system convergence rate are investigated. Specifically, the control gains which achieve maximal convergence rate are given, and it is proved by using Weyl theorem that the system convergence rate can be improved by adding information links. Finally, numerical simulations are given to illustrate the main results.

KW - Algebraic graph theory

KW - Containment control

KW - Convergence speed

KW - Distributed coordinated control

KW - Multiple leaders

UR - https://www.scopus.com/pages/publications/84908371079

M3 - 文章

AN - SCOPUS:84908371079

SN - 0367-6234

VL - 46

SP - 1

EP - 8

JO - Harbin Gongye Daxue Xuebao/Journal of Harbin Institute of Technology

JF - Harbin Gongye Daxue Xuebao/Journal of Harbin Institute of Technology

IS - 9

ER -

Containment control protocol and its convergence speed analysis for double-integrator dynamics systems

Abstract

Keywords

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