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Event-Triggered Consensus for Discrete-Time Multi-agent Systems with Parameter Uncertainties Based on a Predictive Control Scheme

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Abstract

In this paper, the event-triggered consensus for linear discrete-time multi-agent systems with parameter uncertainties is investigated. The parameter uncertainty is assumed to be norm-bounded. An event-triggered consensus protocol based on the predictive control method is proposed to make the multi-agent system achieve consensus. And for the design of the consensus protocol, the problem of estimating the control input is transformed into the problem of estimating state differences between agents. Furthermore, the event-triggered consensus protocol proposed in this paper only demands each agent to mornitor its state to determine its event-triggered instants. A sufficient existence condition for the consensus protocol is proposed based on the linear matrix inequality. And a sufficient condition for the nonexistence of the Zeno-like behaviour is also derived. Finally, a numerical example is given to illustrate that the event-triggered consensus protocol proposed in this paper can make the multi-agent system with parameter uncertainties achieve consensus effectively.

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Authors and Affiliations

  1. China North Industries Group Corporation Limited China Ordnance Industry Navigation and Control Technology Institute, Beijing, 100821, China

    Xiaoyu Liu, Zhongyu Zhang, Zhaoshi Diao, Zhenxing Mu & Zhitao Li

  2. Beijing Aeronuatical Technology Research Center, Beijing, 100076, China

    Yongbo Xuan

Authors
  1. Xiaoyu Liu
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  2. Yongbo Xuan
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  3. Zhongyu Zhang
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  4. Zhaoshi Diao
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  5. Zhenxing Mu
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  6. Zhitao Li
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Correspondence to Xiaoyu Liu.

Additional information

This paper was recommended for publication by Editor SUN Jian.

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Liu, X., Xuan, Y., Zhang, Z. et al. Event-Triggered Consensus for Discrete-Time Multi-agent Systems with Parameter Uncertainties Based on a Predictive Control Scheme. J Syst Sci Complex 33, 706–724 (2020). https://doi.org/10.1007/s11424-020-8318-6

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  • DOI: https://doi.org/10.1007/s11424-020-8318-6

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