Formation control of singular multiagent systems with switching topologies

Date

2020

Authors

Liu, X.
Xie, Y.
Li, F.
Shi, P.
Gui, W.
Li, W.

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Journal article

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International Journal of Robust and Nonlinear Control, 2020; 30(2):652-664

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Xiaofan Liu, Yongfang Xie, Fanbiao Li, Peng Shi, Weihua Gui, Wenbo Li

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Abstract

This paper is concerned with the time-varying formation control problem for singular multiagent systems with switching topologies. First, in order to eliminate the pulse solution of singular systems and extend the formation function set, the distributed formation controller has been formulated based on the output information of the agents. Then, the explicit expression of formation position function is presented based on the impulse free and the equivalent transformation of singular multiagent systems. Next, the sufficient and necessary conditions of the feasibility of the formation function are provided. Moreover, the sufficient conditions of formation control of singular multiagent systems with switching topologies are presented and the algorithm is designed to solve the distributed controller. Finally, the validity of the proposed approaches is verified by numerical simulation in this paper.

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© 2019 John Wiley & Sons, Ltd.

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