Open AccessDecentralised output‐feedback control for a class of stochastic non‐linear systems using homogeneous domination approach
Author(s) -
Zhai JunYong
Publication year - 2013
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.2012.0868
Subject(s) - control theory (sociology) , integrator , observer (physics) , homogeneous , mathematics , controller (irrigation) , scaling , double integrator , control (management) , computer science , bandwidth (computing) , combinatorics , artificial intelligence , computer network , physics , geometry , quantum mechanics , agronomy , biology
This study discusses the problem of decentralised output‐feedback control for a class of stochastic non‐linear systems under weaker conditions. Based on the adding one power integrator technique and homogeneous domination approach, a homogeneous observer and controller are constructed for each nominal subsystem without the perturbing non‐linearities. Then, a scaling gain is introduced into the homogeneous observers and controllers to render the closed‐loop system to be globally asymptotically stable in probability. Two simulation examples are provided to show the effectiveness of the control scheme.