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Leader-following consensus for discrete-time multi-agent systems with parameter uncertainties based on the event-triggered strategy

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Abstract

In this paper, the leader-following consensus for discrete-time multi-agent systems with parameter uncertainties is investigated based on the event-triggered strategy. And the parameter uncertainty is assumed to be norm-bounded. A consensus protocol is designed based on the event-triggered strategy to make the multi-agent systems achieve consensus without continuous communication among agents. Each agent only needs to observe its own state to determine its own triggering instants under the triggering function in this paper. In addition, a sufficient condition for the existence of the event-triggered consensus protocol is derived and presented in terms of the linear matrix inequality. Finally, a numerical example is given to illustrate to efficiency of the event-triggered consensus protocol proposed in this paper.

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Authors and Affiliations

  1. Key Laboratory of Intelligent Control and Design of Complex Systems, Beijing Institute of Technology, Beijing, 100081, China

    Xiaoyu Liu, Jian Sun, Lihua Dou & Jie Chen

Authors
  1. Xiaoyu Liu
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  2. Jian Sun
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  3. Lihua Dou
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  4. Jie Chen
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Corresponding author

Correspondence to Jian Sun.

Additional information

This paper was supported in part by the National Natural Science Foundation of China under Grant Nos. 61104097, 61321002, 61120106010, 61522303, U1509215, Program for Changjiang Scholars and Innovative Research Team in University (IRT1208), ChangJiang Scholars Program, Beijing Outstanding Ph.D. Program Mentor Grant (20131000704), Program for New Century Excellent Talents in University (NCET-13-0045), Beijing Higher Education Young Elite Teacher Project.

This paper was recommended for publication by Editor-in-Chief GAO Xiao-Shan.

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Liu, X., Sun, J., Dou, L. et al. Leader-following consensus for discrete-time multi-agent systems with parameter uncertainties based on the event-triggered strategy. J Syst Sci Complex 30, 30–45 (2017). https://doi.org/10.1007/s11424-017-6272-8

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  • DOI: https://doi.org/10.1007/s11424-017-6272-8

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