Identification of the delay parameter for nonlinear time-delay systems with unknown inputs

Gang Zheng (1, 2) , Jean-Pierre Barbot (1, 3) , Driss Boutat (4)

1 NON-A - Non-Asymptotic estimation for online systems
2 SyNeR - Systèmes Non Linéaires et à Retards
3 ECS-Lab - Électronique et Commande des Systèmes Laboratoire
4 Automatique

Using the theory of non-commutative rings, this paper studies the delay identification of nonlinear time-delay systems with unknown inputs. A sufficient condition is given in order to deduce an output delay equation from the studied system. Then necessary and sufficient conditions are proposed to judge whether the deduced output delay equation can be used to identify delay involved in this equation. Two different cases are discussed for the dependent and independent outputs, respectively. The presented result is applied to identify delay in a biological system.

Mots clés: Time-delay system; Delay identification

Domaines: Automatique

Gang Zheng, Jean-Pierre Barbot, Driss Boutat. Identification of the delay parameter for nonlinear time-delay systems with unknown inputs. Automatica, 2013, 49, 6, pp.1755-1760. ⟨10.1016/j.automatica.2013.02.020⟩. ⟨hal-00817331⟩