Distributed Impulsive Consensus of the Multiagent System without Velocity Measurement | Zendy

ZhiWei Liu | Zendy; Hong Zhou | Zendy; ZhiHong Guan | Zendy; Wenshan Hu | Zendy; Ding Li | Zendy; Wei Wang | Zendy

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Distributed Impulsive Consensus of the Multiagent System without Velocity Measurement

Author(s) -

ZhiWei Liu,

Hong Zhou,

ZhiHong Guan,

Wenshan Hu,

Ding Li,

Wei Wang

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/825307

Subject(s) - laplacian matrix , eigenvalues and eigenvectors , mathematics , consensus , multi agent system , control theory (sociology) , graph , state (computer science) , stability (learning theory) , directed graph , laplace operator , key (lock) , mathematical optimization , control (management) , computer science , algorithm , discrete mathematics , artificial intelligence , mathematical analysis , physics , quantum mechanics , machine learning , computer security

This paper deals with the distributed consensus of the multiagent system. In particular, we consider the case where the velocity (second state) is unmeasurable and the communication among agents occurs at sampling instants. Based on the impulsive control theory, we propose an impulsive consensus algorithm that extends some of our previous work to account for the lack of velocity measurement. By using the stability theory of the impulsive system, some necessary and sufficient conditions are obtained to ensure the consensus of the controlled multiagent system. It is shown that the control gains, the sampled period and the eigenvalues of Laplacian matrix of communication graph play key roles in achieving consensus. Finally, a numerical simulation is provided to illustrate the effectiveness of the proposed algorithm

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