Open AccessGlobal output‐feedback stabilisation of switched stochastic non‐linear time‐delay systems under arbitrary switchings
Author(s) -
Liu Liang,
Zhao XuDong,
Niu Ben,
Wang HuanQing,
Xie XueJun
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.2014.0306
Subject(s) - control theory (sociology) , backstepping , controller (irrigation) , output feedback , stability theory , lyapunov function , mathematics , exponential stability , computer science , control (management) , nonlinear system , adaptive control , physics , quantum mechanics , artificial intelligence , agronomy , biology
This study considers the global output‐feedback control for a class of switched stochastic non‐linear time‐delay systems under arbitrary switchings. By using the backstepping technique and choosing an appropriate Lyapunov–Krasoviskii functional, an output‐feedback controller independent of switching signals is constructed to render the closed‐loop system globally asymptotically stable in probability and the output can be regulated to the origin almost surely. Two simulation examples are provided to show the effectiveness of the designed controller.