Passivity-based Consensus for Nonlinear Fractional-order Multi-agent Systems

This paper discusses the consensus problem for a kind of nonlinear fractional-order multi-agent system (FOMAS) by employing the passivity of every agent. Distinguishing from the integer-order multi-agent systems, a concept of passivity for FOMAS is given. On one side, a passivity criterion is presen...

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Bibliographic Details
Published in2022 41st Chinese Control Conference (CCC) pp. 947 - 952
Main Authors Pan, Ya-Hui, Wang, Jin-Liang, Liu, Chen-Guang, Huang, Yan-Li
Format Conference Proceeding
LanguageEnglish
Published Technical Committee on Control Theory, Chinese Association of Automation 25.07.2022
Subjects
Consensus
Fractional-order multi-agent system(FOMAS)
Laplace equations
Laplace transform
Multi-agent systems
Numerical models
Passivity
State feedback
Sufficient conditions
Transforms
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Summary:This paper discusses the consensus problem for a kind of nonlinear fractional-order multi-agent system (FOMAS) by employing the passivity of every agent. Distinguishing from the integer-order multi-agent systems, a concept of passivity for FOMAS is given. On one side, a passivity criterion is presented for the FOMAS by resorting to the Lyapunov functional method. On the other side, with the help of the Laplace transform, a consensus criterion for the FOMAS is obtained under the condition that the FOMAS is output-strictly passive. Lastly, the effectiveness of the obtained criterion is verified by a numerical example with simulations.
ISSN:2161-2927
DOI:10.23919/CCC55666.2022.9901849