Tracking problem under a time-varying topology

doi:10.1088/1674-1056/23/6/060502

Abstract This paper studies the multi-agent tracking problem of a third-order maneuvering target under uncertain communication environments. Each tracking agent is assumed to be a third-order system and can only use its own and neighbors' position, velocity, and acceleration information to design its control input. In this work, the uncertain communication environments are modelled by a finite number of constant Laplacian matrices together with their corresponding scheduling functions. Sufficient conditions for the existence of a tracking strategy have been expressed in terms of the solvability of linear matrix inequalities. Finally, a numerical example is employed to demonstrate the effectiveness of the proposed tracking strategy.

Keywords: third-order multi-agent systems tracking strategy time-varying topology

Received: 17 October 2013
Revised: 05 December 2013
Accepted manuscript online:

PACS:	05.65.+b	(Self-organized systems)
	02.30.Yy	(Control theory)
	07.05.Dz	(Control systems)
	05.45.-a	(Nonlinear dynamics and chaos)

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 61104086), the Scientific Research, Postgraduate Training Joint-Build Project (Grant No. 20120639002), and the China Scholarship Council (Grant No. 201306030027).

Corresponding Authors: Chai Sen-Chun
E-mail: chaisc97@bit.edu.cn

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Dong Li-Jing (董立静), Chai Sen-Chun (柴森春), Zhang Bai-Hai (张百海), Nguang Sing-Kiong (阮盛强) Tracking problem under a time-varying topology 2014 Chin. Phys. B 23 060502

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[1]	Tracking of a third-order maneuvering target under an arbitrary topology Dong Li-Jing (董立静), Chai Sen-Chun (柴森春), Zhang Bai-Hai (张百海). Chin. Phys. B, 2014, 23(1): 010508.

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