Open AccessSliding mode observer for a class of globally Lipschitz non‐linear systems with time‐varying delay and noise in its output
Author(s) -
He Qing,
Liu Jinkun
Publication year - 2014
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.2013.1004
Subject(s) - control theory (sociology) , lipschitz continuity , observer (physics) , perturbation (astronomy) , state observer , bounded function , mathematics , exponential stability , lyapunov function , noise (video) , computer science , nonlinear system , mathematical analysis , physics , control (management) , quantum mechanics , artificial intelligence , image (mathematics)
In this study, the state estimation problem for a class of globally Lipschitz non‐linear systems with time‐varying delayed output is addressed based on sliding mode observer. One of the contributions is the stability properties of the proposed observer are studied in the presence of state perturbation and measurement noise. By using the Lyapunov–Razumikhin approach, the asymptotic convergence properties for the estimation error is ensured. The assumption on the state perturbation and measurement noise is that they need to be bounded. Moreover, the proposed observer is applied into the model of aircraft longitudinal motion and simulation results illustrate the performance of the proposed observer.