Open AccessFixed‐time stabilisation for a class of high‐order non‐linear systems
Author(s) -
Chen ChihChiang,
Sun ZongYao
Publication year - 2018
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.2018.5053
Subject(s) - control theory (sociology) , lyapunov function , integrator , class (philosophy) , linear system , sign function , mathematics , stability (learning theory) , fixed point , construct (python library) , function (biology) , differentiable function , sign (mathematics) , computer science , mathematical optimization , control (management) , nonlinear system , mathematical analysis , artificial intelligence , computer network , physics , bandwidth (computing) , quantum mechanics , machine learning , evolutionary biology , biology , programming language
The problem of fixed‐time stabilisation for a class of high‐order non‐linear systems is studied. By introducing the manipulation of sign functions and revamping by adding a power integrator technique, a novel approach is proposed to construct a continuous stabiliser as well as a continuously differentiable Lyapunov function, which is crucial for proving fixed‐time stability. The novelty of this study is the development of a systematic design method that provides a delicate solution to the problem of fixed‐time stabilisation for high‐order non‐linear systems.