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Fully Distributed Event-Triggered Consensus for a Class of Second-Order Nonlinear Multi-agent Systems

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Abstract

The fully distributed control of networked nonlinear systems under the sampled-data control mechanism is a challenging task. The lack of global information, the unavailability of continuous communication, and the influence of nonlinear factors make most of the existing control schemes invalid. This article proposes an event-triggered consensus protocol for a class of second-order nonlinear multi-agent systems, where all global information is unavailable in the protocol design. In order to deal with the unknown nonlinear term in the differential equation which describes each subsystem, the neural network approximation method is used. It is proved that the states of all subsystems can reach bounded consensus with only intermittent and local information exchange among subsystems. In addition, the proposed event-triggered mechanism can run without continuous monitoring the triggered condition. The Zeno behavior is then excluded to guarantee the implementability of the given protocol. Finally, a demonstrative example is provided to illustrate the effectiveness of the developed control scheme.

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Availability of Data and Materials

The data sets generated during and analyzed during the current study are available from the corresponding author on reasonable request.

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Funding

This work was financially supported by the Scientific Research Significant Projects of Universities and Colleges in Jiangsu Province (16KJA460003).

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Authors and Affiliations

  1. School of Physics and Electronic Electrical Engineering, Huaiyin Normal University, Huai’an, 223300, China

    Hua-Jun Sun & A-Long Yu

  2. School of Foreign Languages, Huaiyin Normal University, Huai’an, 223300, China

    Rong Xia

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  1. Hua-Jun Sun
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Correspondence to Hua-Jun Sun.

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Sun, HJ., Xia, R. & Yu, AL. Fully Distributed Event-Triggered Consensus for a Class of Second-Order Nonlinear Multi-agent Systems. Circuits Syst Signal Process 41, 725–742 (2022). https://doi.org/10.1007/s00034-021-01818-2

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