Open AccessGlobal output feedback stabilisation for a class of stochastic feedforward non‐linear systems with state time delay
Author(s) -
Liu Liang,
Yu Zhandong,
Yu Jinyong,
Zhou Qi
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.2013.1163
Subject(s) - control theory (sociology) , feed forward , observer (physics) , output feedback , controller (irrigation) , lyapunov function , full state feedback , state (computer science) , homogeneous , computer science , stability theory , class (philosophy) , mathematics , control (management) , control engineering , nonlinear system , engineering , algorithm , agronomy , physics , quantum mechanics , combinatorics , biology , artificial intelligence
Global output feedback stabilisation problem for a class of stochastic feedforward non‐linear systems with state time delay is investigated in this study for the first time. By introducing the homogeneous domination approach in the stochastic system, constructing an implementable homogeneous reduced‐order observer and choosing an appropriate Lyapunov–Krasoviskii functional, an output feedback controller is designed to render the closed‐loop system globally asymptotically stable in probability and the output can be regulated to the origin almost surely. A simulation example is provided to show the effectiveness of the designed controller.