Premium
Observer design and practical stability of nonlinear systems under unknown time‐delay
Author(s) -
Echi Nadhem
Publication year - 2021
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.2271
Subject(s) - observer (physics) , control theory (sociology) , nonlinear system , convergence (economics) , exponential stability , stability (learning theory) , constant (computer programming) , mathematics , exponential function , computer science , class (philosophy) , stability conditions , control (management) , discrete time and continuous time , mathematical analysis , artificial intelligence , physics , statistics , quantum mechanics , economics , programming language , economic growth , machine learning
In the present paper, we study observer design and we establish some sufficient conditions for practical exponential stability for a class of time‐delay nonlinear systems written in triangular form. In case of delay is assumed to be constant and known, the exponential convergence of the observer was confirmed. Based on the Lyapunov‐Krasovskii functionals, the practical stability of the proposed observer is achieved. Finally, a physical model and simulation findings show the feasibility of the suggested strategy.