Distributed consensus of non-linear fractional-order multi-agent systems with directed topologies

In this study, Mittag–Leffler stability and the fractional Lyapunov direct method are used to study fractional-order leaderless and leader-following consensus algorithms with non-linear dynamics under a directed network topology. The sufficient conditions are given to guarantee that the consensus ca...

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Bibliographic Details
Published in:IET control theory & applications 2016-12, Vol.10 (18), p.2515-2525
Main Author: Gong, Ping
Format: Article
Language:English
Subjects:
adaptive control
Adaptive control systems
adaptive feedback control protocols
Algorithms
Computer simulation
Controller area network
directed graphs
directed network topology
directed topologies
Dynamical systems
feedback
multi‐agent systems
multi‐robot systems
network topology
Nonlinear dynamics
nonlinear fractional‐order multiagent systems
Nonlinearity
Research Article
Topology
virtual leader
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Summary:In this study, Mittag–Leffler stability and the fractional Lyapunov direct method are used to study fractional-order leaderless and leader-following consensus algorithms with non-linear dynamics under a directed network topology. The sufficient conditions are given to guarantee that the consensus can be achieved in the non-linear fractional-order systems with and without a virtual leader, and the adaptive feedback control protocols are also given in this study. Finally, some numerical simulations are presented to demonstrate the effectiveness of the theoretical results.
ISSN:1751-8644
1751-8652
1751-8652
DOI:10.1049/iet-cta.2016.0606