Open AccessConsensus tracking for general linear stochastic multi‐agent systems: a sliding mode variable structure approach
Author(s) -
Zhao Birong,
Peng Yunjian,
Deng Feiqi
Publication year - 2017
Publication title -
iet control theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.059
H-Index - 108
eISSN - 1751-8652
pISSN - 1751-8644
DOI - 10.1049/iet-cta.2016.1638
Subject(s) - reachability , control theory (sociology) , brownian motion , tracking (education) , multi agent system , mathematics , computer science , mathematical optimization , topology (electrical circuits) , algorithm , artificial intelligence , control (management) , psychology , pedagogy , statistics , combinatorics
This study deals with the consensus tracking problem for general linear multi‐agent systems driven by Brownian motion. A directed graph is used to represent the communication topology of the multi‐agent network. To solve the consensus tracking problem, an innovative concept of the sub‐reachability of the sliding motion to approach approximately the specified sliding surface is introduced. Under the concept of sub‐reachability, the sliding mode variable structure consensus tracking protocol is synthesised to guarantee the sub‐reachability of the sliding motion in a finite time. By using the auxiliary function method and stochastic Ito ^integrals techniques with respect to Brownian motion, a sufficient condition for mean square asymptotic consensus tracking is derived. In particular, the consensus tracking criteria are very concise and can be implemented easily. Finally, a simulation example is utilised to illustrate the usefulness of the proposed control protocol.