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hal-00749682, version 1

Observer design for nonlinear systems under unknown time-varying delays

Malek Ghanes () 1, J. Deleon a2, Jean-Pierre Barbot () b13

IEEE Transactions on Automatic Control (2013)

Résumé : 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.

  • a –  UNIVERSIDAD NACIONAL AUTÓNOMA DE MÉXICO
  • b –  ENSEA
  • 1 :  Électronique et Commande des Systèmes Laboratoire (ECS-Lab)
  • Ecole Nationale Supérieure de l'Electronique et de ses Applications – ENSEA
  • 2 :  Instituto de Ingeniería [Mexico]
  • UNIVERSIDAD NACIONAL AUTÓNOMA DE MÉXICO
  • 3 :  Non-A (INRIA Lille - Nord Europe)
  • INRIA : LILLE - NORD EUROPE
  • Collaboration : CONACYT Estancias Sabaticas. SEP CASEP-CA-232 UANL.
  • Domaine : Informatique/Automatique
 
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  • Soumis le : Jeudi 8 Novembre 2012, 10:21:56
  • Dernière modification le : Jeudi 8 Novembre 2012, 14:46:21