Delay estimation via sliding mode for nonlinear time-delay systems

Gang Zheng (1, 2) , Andrey Polyakov (2) , Arie Levant (3)

1 DEFROST - Deformable Robots Simulation Team
2 NON-A-POST - Non-Asymptotic estimation for online systems
3 TAU - School of Mathematical Sciences [Tel Aviv]

This paper deals with delay identifiability and delay estimation for a class of nonlinear time-delay systems. The theory of non-commutative rings is used to analyze the identifiability. In order to estimate the delay, a sliding mode technique and a classical Newton method are combined to show the possibility to have a local (or global) delay estimation for periodic (or aperiodic) delay signals.

Mots clés: Identification; Time-delay; Sliding mode

Domaines: Automatique

Gang Zheng, Andrey Polyakov, Arie Levant. Delay estimation via sliding mode for nonlinear time-delay systems. Automatica, 2018, 89, pp.266-273. ⟨10.1016/j.automatica.2017.11.033⟩. ⟨hal-01649546⟩