Comments on “Global stabilization of rigid formations in the plane [Automatica 49 (2013) 1436–1441]”

Minh Hoang Trinh; Viet Hoang Pham; Myoung Chul Park; Zhiyong Sun; Brian D.O. Anderson; Hyo Sung Ahn

doi:10.1016/j.automatica.2016.11.006

Comments on “Global stabilization of rigid formations in the plane [Automatica 49 (2013) 1436–1441]”

Minh Hoang Trinh, Viet Hoang Pham, Myoung Chul Park, Zhiyong Sun, Brian D.O. Anderson, Hyo Sung Ahn

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

17 Citations (Scopus)

Abstract

This paper shows that the modified gradient control law proposed in Tian and Wang (2013) does not globally stabilize rigid formation shapes. Also, further analysis on the control law and a numerical example showing that the control law cannot drive the agents out from a stable incorrect equilibrium of the corresponding gradient control system are provided.

Original language	English
Pages (from-to)	393-396
Number of pages	4
Journal	Automatica
Volume	77
DOIs	https://doi.org/10.1016/j.automatica.2016.11.006
Publication status	Published - 1 Mar 2017

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10.1016/j.automatica.2016.11.006

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title = "Comments on “Global stabilization of rigid formations in the plane [Automatica 49 (2013) 1436–1441]”",

abstract = "This paper shows that the modified gradient control law proposed in Tian and Wang (2013) does not globally stabilize rigid formation shapes. Also, further analysis on the control law and a numerical example showing that the control law cannot drive the agents out from a stable incorrect equilibrium of the corresponding gradient control system are provided.",

keywords = "Formation control, Global stabilization, Modified gradient control law, Rigid graph",

author = "Trinh, \{Minh Hoang\} and Pham, \{Viet Hoang\} and Park, \{Myoung Chul\} and Zhiyong Sun and Anderson, \{Brian D.O.\} and Ahn, \{Hyo Sung\}",

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doi = "10.1016/j.automatica.2016.11.006",

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AU - Trinh, Minh Hoang

AU - Pham, Viet Hoang

AU - Park, Myoung Chul

AU - Sun, Zhiyong

AU - Anderson, Brian D.O.

AU - Ahn, Hyo Sung

PY - 2017/3/1

Y1 - 2017/3/1

N2 - This paper shows that the modified gradient control law proposed in Tian and Wang (2013) does not globally stabilize rigid formation shapes. Also, further analysis on the control law and a numerical example showing that the control law cannot drive the agents out from a stable incorrect equilibrium of the corresponding gradient control system are provided.

AB - This paper shows that the modified gradient control law proposed in Tian and Wang (2013) does not globally stabilize rigid formation shapes. Also, further analysis on the control law and a numerical example showing that the control law cannot drive the agents out from a stable incorrect equilibrium of the corresponding gradient control system are provided.

KW - Formation control

KW - Global stabilization

KW - Modified gradient control law

KW - Rigid graph

UR - https://www.scopus.com/pages/publications/85007574158

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DO - 10.1016/j.automatica.2016.11.006

M3 - Article

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VL - 77

SP - 393

EP - 396

JO - Automatica

JF - Automatica

ER -

Comments on “Global stabilization of rigid formations in the plane [Automatica 49 (2013) 1436–1441]”

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