Leader-Follower Consensus of Fractional-Order Multi-Agent Systems Using Adaptive Fuzzy Control

Yilin Hao; Jinde Cao; Sergey Gorbachev; Heng Liu

doi:10.57118/creosar/978-1-915740-01-4_13

Authors

Yilin Hao
Jinde Cao
Sergey Gorbachev
Heng Liu

DOI:

https://doi.org/10.57118/creosar/978-1-915740-01-4_13

Keywords:

Multi-agent system, consensus criteria, asymptotic stability, fractional-order system, adaptive fuzzy control

Abstract

This part studies the leader-follower consensus (LFC) issue of fractional-order multi-agent systems (FOMASs) with nonlinear or linear function. Firstly, a fractional Lyapunov method is proposed to prove the stability of the FOMAS. Secondly, based on a sliding mode control method, when the follower dynamics is linear, a controller is devised to realize this uniform tracking question. Thirdly, when the follower has a nonlinear dynamic function satisfying the Lipschitz condition, it is verified that the devised controller is still reasonable. Fourthly, suppose that the dynamics of the followers are unknown, an adaptive fuzzy variable structure controller is devised to guarantee the consistency of the FOMAS. Finally, noting that the proposed conditions for stability and consensus are easy to verify, simulation calculations are written to expound the adaptability of control scheme.

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