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Signed-average consensus for networks of agents: a nonlinear fixed-time convergence protocol

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Abstract

This paper addresses the consensus problem of multi-agent systems where the interactions between agents are not only cooperative but also antagonistic. A distributed nonlinear protocol is proposed to guarantee the agents to reach agreement bipartitely regarding a signed-average quantity that depends on both the initial states of agents and the topology structures of multi-agent systems. Moreover, this signed-average consensus can be achieved within a fixed settling time which is not dependent upon the initial states of agents but can be estimated by the design parameters of the presented protocol. Numerical simulations are performed to illustrate the fixed-time convergence performance of the established signed-average consensus results.

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Acknowledgments

This work was supported by the National Natural Science Foundation of China (Nos. 61203022 and 61473010), and the Beijing Natural Science Foundation (No. 4162036).

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Authors and Affiliations

  1. The Seventh Research Division, Beihang University (BUAA), Beijing, 100191, People’s Republic of China

    Deyuan Meng

  2. The Seventh Research Division, Science and Technology on Aircraft Control Laboratory, Beihang University (BUAA), Beijing, 100191, People’s Republic of China

    Zongyu Zuo

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  1. Deyuan Meng
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  2. Zongyu Zuo
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Correspondence to Zongyu Zuo.

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Meng, D., Zuo, Z. Signed-average consensus for networks of agents: a nonlinear fixed-time convergence protocol. Nonlinear Dyn 85, 155–165 (2016). https://doi.org/10.1007/s11071-016-2675-7

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  • DOI: https://doi.org/10.1007/s11071-016-2675-7

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