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
CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189, Inria Lille - Nord Europe
2 SyNeR - Systèmes Non Linéaires et à Retards
CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189
4 Automatique
PRISME - Laboratoire Pluridisciplinaire de Recherche en Ingénierie des Systèmes, Mécanique et Energétique
Abstract : 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.
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https://hal.inria.fr/hal-00817331
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Submitted on : Wednesday, March 8, 2017 - 11:47:52 PM
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Gang Zheng, Jean-Pierre Barbot, Driss Boutat. Identification of the delay parameter for nonlinear time-delay systems with unknown inputs. Automatica, Elsevier, 2013, 49, 6, pp.1755-1760. ⟨10.1016/j.automatica.2013.02.020⟩. ⟨hal-00817331⟩

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