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

• Autores: Zohra Kader, Gang Zheng, Jean-Pierre Barbot
• Localización: Automatica: A journal of IFAC the International Federation of Automatic Control, ISSN 0005-1098, Nº. 95, 2018, págs. 283-292
• Idioma: inglés
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• Resumen

  • 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 estimations 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.