Open AccessSeparation principle of quasi‐one‐sided Lipschitz non‐linear systems
Author(s) -
Zhao Yanbin,
Hu GuangDa
Publication year - 2020
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.2019.0230
Subject(s) - lipschitz continuity , control theory (sociology) , observer (physics) , separation principle , mathematics , controller (irrigation) , linear system , state (computer science) , full state feedback , state observer , nonlinear system , computer science , control (management) , mathematical analysis , algorithm , artificial intelligence , physics , quantum mechanics , agronomy , biology
In this study, the stabilisation of quasi‐one‐sided Lipschitz non‐linear systems is investigated. For the quasi‐one‐sided Lipschitz non‐linear system, a condition for the existence of the observer is presented. For the weak quasi‐one‐sided Lipschitz non‐linear system, a state feedback controller is proposed and a condition is derived for the existence of the state feedback controller. The separation principle is obtained for the observer‐based controller of the quasi‐one‐sided Lipschitz non‐linear systems. The main results in this study extend and improve those in the literature. Numerical examples are given to illustrate the main results.