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Tracking problem under a time-varying topology
作者姓名:董立静  柴森春  张百海  阮盛强
基金项目:supported by the National Natural Science Foundation of China(Grant No.61104086);the Scientific Research,Postgraduate Training Joint-Build Project(Grant No.20120639002);the China Scholarship Council(Grant No.201306030027)
摘    要: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.

关 键 词:跟踪问题  拓扑结构  时间变化  Laplace矩阵  线性矩阵不等式  通信环境  三阶系统  速度信息

Tracking problem under a time-varying topology
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
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