Open AccessGlobal stabilisation of high‐order non‐linear systems with time‐varying delays
Author(s) -
Gao Fangzheng,
Yuan Fushun,
Wu Yuqiang
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.2013.0435
Subject(s) - control theory (sociology) , integrator , exponential stability , state (computer science) , full state feedback , controller (irrigation) , stability (learning theory) , computer science , class (philosophy) , linear system , mathematics , nonlinear system , control (management) , algorithm , computer network , mathematical analysis , physics , bandwidth (computing) , quantum mechanics , artificial intelligence , machine learning , agronomy , biology
Under the weaker condition on the system non‐linearities, this study investigates the problem of global stabilisation by state feedback for a class of high‐order non‐linear systems with time‐varying delays. By using the method of adding a power integrator, a continuous state‐feedback controller is successfully designed, and the global asymptotic stability of the resulting closed‐loop system is proven with the help of an appropriate Lyapunov–Krasovskii functional. Two simulation examples are given to illustrate the effectiveness of the proposed approach.