Leader-follower non-fragile consensus of delayed fractional-order nonlinear multi-agent systems

Liping Chen, Xiaomin Li, YangQuan Chen, Ranchao Wu, António M. Lopes and Suoliang Ge

Applied Mathematics and Computation, 2022, vol. 414, issue C

Abstract: This paper addresses the leader-follower non-fragile consensus of nonlinear fractional-order (FO) multi-agent systems (FOMAS) with state time delay. The structured uncertainties occurring in both the plant and the controller are considered for the first time. Using the linear matrix inequality approach and the FO Razumikhin theorem, a delay- and order-dependent protocol is obtained to guarantee the leader-follower non-fragile consensus of the FOMAS with uncertain parameters. New sufficient conditions for the leader-follower non-fragile consensus of FO linear multi-agent systems are presented. The feasibility and effectiveness of the protocol proposed is verified with three numerical examples. Compared with the existing schemes, the approach reveals good robustness and can be extended to different kinds of consensus problems.

Keywords: Fractional-order systems; Multi-agent systems; Non-fragile consensus; Delay-dependent protocol (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:414:y:2022:i:c:s0096300321007724

DOI: 10.1016/j.amc.2021.126688

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