Open AccessTracking consensus for stochastic hybrid multi‐agent systems with partly unknown transition rates via sliding mode control
Author(s) -
Mu Xiaowu,
Wu Xihui
Publication year - 2020
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.2019.0782
Subject(s) - reachability , control theory (sociology) , sliding mode control , mathematics , mode (computer interface) , markov process , computer science , control (management) , nonlinear system , algorithm , physics , statistics , quantum mechanics , artificial intelligence , operating system
The tracking consensus problem for stochastic Markovian multi‐agent systems (MASs) with mismatched uncertainty is investigated in this study. A restrictive assumption for stochastic systems in existing results is removed in this study. Under the directed interacted topology, the sliding mode control method is utilised to achieve leader‐following consensus for general linear MASs in the sense of mean square. Integral sliding mode surfaces are employed to tackle the mismatched uncertainties. Then, with the transition rates of Markov process being completely known or partly unknown, two kinds of distributed sliding mode protocols are given, respectively. Based on the sliding mode control theory, algebraic graph theory and stochastic differential equation theory, mean square stability of sliding mode dynamics are ensured by LMIs and reachability of sliding mode surfaces almost surely from the initial time are obtained. Finally, simulations are given to illustrate the effectiveness of the results.