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Synchronization of a class of nonlinear multi-agent systems with sampled-data information

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Abstract

The synchronization problem for a class of nonlinear multi-agent systems only using sampled-data information is investigated in this paper. The multi-agent system has a leader–follower architecture, and the desired synchronization state is the leader’s state, which is available to only a subset of the follower agents. First, by integrating the graph theory and Lyapunov design methods together, a sampled-data control law is designed. Then, the explicit formula for the maximum allowable sampling period is computed to guarantee states synchronization for all agents. An example is given to verify the efficiency of the proposed method.

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Acknowledgments

This work is supported by the Natural Science Foundation of China (61304007), China Postdoctoral Science Foundation Funded Project (2014T70584), and Ph.D. Programs Foundation of Ministry of Education of China (20130111120007).

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Authors and Affiliations

  1. School of Electrical Engineering and Automation, Hefei University of Technology, Hefei, 230009, Peoples Republic of China

    Haibo Du

  2. Department of Electrical and Computer Engineering, California State University at Northridge, Northridge, CA, 91330, USA

    Ruting Jia

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  1. Haibo Du
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  2. Ruting Jia
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Correspondence to Haibo Du.

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Du, H., Jia, R. Synchronization of a class of nonlinear multi-agent systems with sampled-data information. Nonlinear Dyn 82, 1483–1492 (2015). https://doi.org/10.1007/s11071-015-2255-2

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  • DOI: https://doi.org/10.1007/s11071-015-2255-2

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