Adaptive consensus with a virtual leader of multiple agents governed by locally Lipschitz nonlinearity. (English) Zbl 1270.93004

Hu, Yuebing; Su, Housheng; Lam, James

Int. J. Robust Nonlinear Control 23, No. 9, 978-990 (2013).

Summary: This paper is concerned with the second-order consensus problem of multi-agent systems with a virtual leader, where all agents and the virtual leader share the same intrinsic dynamics with a locally Lipschitz condition. It is assumed that only a small fraction of agents in the group are informed about the position and velocity of the virtual leader. A connectivity-preserving adaptive controller is proposed to ensure the consensus of multi-agent systems, wherein no information about the nonlinear dynamics is needed. Moreover, it is proved that the consensus can be reached globally with the proposed control strategy if the degree of the nonlinear dynamics is smaller than some analytical value. Numerical simulations are further provided to illustrate the theoretical results.

MSC:

93A14	Decentralized systems
68T42	Agent technology and artificial intelligence
93C40	Adaptive control/observation systems

Keywords:

adaptive consensus; Lipschitz condition; multi-agent systems; nonlinearity; second-order consensus; virtual leader

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