Event-based consensus for third-order nonlinear multi-agent systems

Youming Xin, Huiping Lyu, Huan Tuo and Zunshui Cheng

Chaos, Solitons & Fractals, 2023, vol. 169, issue C

Abstract: Event-based consensus problem of third-order nonlinear multi-agent systems is considered. Event-based controllers are proposed and MASs with event-based controllers are viewed as nonlinear systems with disturbances. By a degenerate transformation, an error system is derived from multi-agent systems, and consensus for multi-agent systems is converted into stability of the error system. Based on Lyapunov theory and Kronecker product method, several sufficient conditions on event-based consensus are obtained. It is shown that multi-agent systems can reach event-based consensus if the trigger parameter is sufficiently small and the control gain is sufficiently large under some simple conditions. Furthermore, the Zeno-behavior of the controllers is abstained. An example is presented to show the effectiveness of the derived results.

Keywords: Event-based control; Nonlinear system; Multi-agent systems; Zeno-behavior (search for similar items in EconPapers)
Date: 2023
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:169:y:2023:i:c:s0960077923001704

DOI: 10.1016/j.chaos.2023.113269

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