Observer design for nonlinear systems under unknown time-varying delays - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Journal Articles IEEE Transactions on Automatic Control Year : 2013

Observer design for nonlinear systems under unknown time-varying delays

Abstract

The design of observers for nonlinear systems with unknown, time-varying, bounded delays, on both state and input, still constitutes an open problem. In this paper, we show how to solve it for a class of nonlinear systems by combining the high gain observer approach with a Lyapunov-Krasovskii functional suitable choice. Sufficient conditions are provided to prove the practical stability of the observer. It is shown that the observation error is bounded and depends on the size of two parameters: the known upper bound delay of the unknown time-varying function delay and the instantaneous state dynamic variation. Furthermore, for the particular case of constant known time delay, the convergence of the proposed observer becomes exponential. The feasibility of the proposed strategy is illustrated by a numerical example.
Fichier principal
Vignette du fichier
IEEE-TAC-MG-JD-JPB.pdf (300.22 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

hal-00749682 , version 1 (08-11-2012)

Identifiers

Cite

Malek Ghanes, Jesus de Leon, Jean-Pierre Barbot. Observer design for nonlinear systems under unknown time-varying delays. IEEE Transactions on Automatic Control, 2013, 58 (6), pp.1529 - 1534. ⟨10.1109/TAC.2012.2225554⟩. ⟨hal-00749682⟩
241 View
799 Download

Altmetric

Share

Gmail Facebook X LinkedIn More