Open AccessAdaptive stabilisation of random systems with arbitrary switchings
Author(s) -
Jiao Ticao,
Xu Shengyuan,
Li Yongmin,
Li Ze
Publication year - 2015
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.2015.0065
Subject(s) - control theory (sociology) , bounded function , mathematics , lyapunov function , state (computer science) , controller (irrigation) , noise (video) , adaptive control , exponential stability , function (biology) , class (philosophy) , computer science , nonlinear system , control (management) , algorithm , mathematical analysis , artificial intelligence , physics , quantum mechanics , evolutionary biology , agronomy , image (mathematics) , biology
This study is concerned with the global stabilisation problem for a class of random non‐linear systems with arbitrary switchings and parameter uncertainties. Under some milder assumptions and by constructing a Lyapunov function, a common adaptive state feedback controller is designed such that the resulting closed‐loop system has a globally unique and almost surely bounded solution. Furthermore, the system states are exponentially noise‐to‐state stable in mean square. Finally, the efficiency of the proposed design approach is demonstrated by a numerical example.