Delay estimation algorithm for nonlinear time-delay systems with unknown inputs

Jean-Pierre Barbot; Gang Zheng; Thierry Floquet; Driss Boutat; Jean-Pierre Richard

hal-00719761, version 1

Delay estimation algorithm for nonlinear time-delay systems with unknown inputs

Jean-Pierre Barbot () ^1, 2, Gang Zheng () ², Thierry Floquet ()^a^, 2, 3, Driss Boutat^b^, 4, Jean-Pierre Richard^c^, 2, 3

IFAC TDS (2012)

Abstract: The theory of non-commutative rings allows determining whether or not there exists an equation called algebraically essential in order to estimate the delay on a nonlinear system. In this paper, it firstly recalls some literature results on algebraically essential equation. Then it is shown that this equation is generally not enough to guarantee the delay estimation, thus the notion of persistent signal with respect to delay estimation is introduced. Furthermore, based on the definitions of algebraically essential equation and of persistent signal, a delay estimation algorithm is proposed. Some simulation results have been presented in order to highlight the robustness (with respect to measurement noise) of the proposed algorithm.

a – CNRS
b – Ecole Nationale Supérieure dÍngénieurs de Bourges
c – Ecole Centrale de Lille
1: Électronique et Commande des Systèmes Laboratoire (ECS-Lab)
Ecole Nationale Supérieure de l'Electronique et de ses Applications – ENSEA
2: Non-A (INRIA Lille - Nord Europe)
INRIA : LILLE - NORD EUROPE
3: Laboratoire d'Automatique, Génie Informatique et Signal (LAGIS)
CNRS : UMR8219 – Université Lille I - Sciences et technologies – Ecole Centrale de Lille
4: Laboratoire PRISME (PRISME)
Université d'Orléans : EA4229 – ENSI Bourges

hal-00719761, version 1
http://hal.inria.fr/hal-00719761
oai:hal.inria.fr:hal-00719761
From: Jean-Pierre Barbot <>
Submitted on: Friday, 20 July 2012 17:23:56
Updated on: Saturday, 19 January 2013 17:22:05

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