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Finite-time and asymptotic left inversion of nonlinear time-delay systems

Abstract : In this paper we investigate the left invertibility problem for a class of nonlinear time-delay systems. In both cases of time delay systems with and without internal dynamics the invertibility conditions are given. A new approach based on the use of higher order sliding mode observer is developed for finite-time left invertibility and for asymptotic left inversion. Causal and non-causal estimation of the unknown inputs are respectively discussed. The results are illustrated by numerical examples in order to show the efficiency of the method and its limits.
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Submitted on : Monday, April 30, 2018 - 2:57:11 PM
Last modification on : Wednesday, April 28, 2021 - 6:37:20 PM
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Zohra Kader, Gang Zheng, Jean-Pierre Barbot. Finite-time and asymptotic left inversion of nonlinear time-delay systems. Automatica, Elsevier, 2018, 95, pp.283-292. ⟨10.1016/j.automatica.2018.05.002⟩. ⟨hal-01781561⟩

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