Luenberger-like observer for linear singular system with commensurate delay

Gang Zheng 1, 2 Francisco Bejarano 3 Shunjie Li 4
1 NON-A - Non-Asymptotic estimation for online systems
Inria Lille - Nord Europe, CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189
2 DEFROST - Deformable Robots Simulation Team
Inria Lille - Nord Europe, CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189
Abstract : — For linear singular time-delay systems, the most existing results focus on the simple case, i.e. E ˙ x(t) = A 0 x(t) + A 1 x(t − τ). Few results have been stated for the general linear singular time-delay systems of the form ∑ l i=0 E i ˙ x(t − iτ) = ∑ k i=0 A i x(t − iτ), which covers also neutral delay systems. For such a general case, this paper deduced sufficient conditions, with which a simple Luenberger-like observer can be designed in order to exponentially estimate the states.
Type de document :
Communication dans un congrès
56th IEEE Conference on Decision and Control, Dec 2017, Melbourne, Australia
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https://hal.inria.fr/hal-01660102
Contributeur : Gang Zheng <>
Soumis le : samedi 9 décembre 2017 - 23:51:36
Dernière modification le : mercredi 25 avril 2018 - 15:43:26

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  • HAL Id : hal-01660102, version 1

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Gang Zheng, Francisco Bejarano, Shunjie Li. Luenberger-like observer for linear singular system with commensurate delay. 56th IEEE Conference on Decision and Control, Dec 2017, Melbourne, Australia. 〈hal-01660102〉

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