Title
Finite-Time Consensus of Stochastic Nonlinear Multi-agent Systems.
Abstract
This article studies the finite-time consensus of the stochastic nonlinear multi-agent systems under a directed communication topology. Since the inherent nonlinear dynamics and stochastic disturbances in multi-agent systems are completely unknown, the existing finite-time stability criterion becomes unavailable. To handle this difficulty, by applying the mean value theorem of integrals, a key finite-time stability criterion in integral form is first established. Then, based on the approximation property of the fuzzy logic systems, a distributed adaptive fuzzy control scheme is presented. Under the presented control strategy, the finite-time consensus of the stochastic nonlinear multi-agent systems is achieved. By applying Jessen’s inequality and Theorem 1, the finite-time stability of the closed system is proved. Finally, the simulation result shows the validity of the distributed controller.
Year
DOI
Venue
2020
10.1007/s40815-019-00769-w
International Journal of Fuzzy Systems
Keywords
Field
DocType
Adaptive fuzzy control, Stochastic multi-agent systems, Finite-time consensus, Square stability
Stability criterion,Control theory,Mathematical optimization,Nonlinear system,Computational intelligence,Control theory,Multi-agent system,Fuzzy control system,Mean value theorem,Approximation property,Mathematics
Journal
Volume
Issue
ISSN
22
1
1562-2479
Citations 
PageRank 
References 
1
0.35
0
Authors
5
Name
Order
Citations
PageRank
Fang Wang1554.44
Yan Zhang210.35
Lili Zhang310.35
Jing Zhang4373101.39
Yuanyuan Huang573.19