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Luenberger-like observer for linear singular system with commensurate delay

Gang Zheng 1, 2 Francisco Javier 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 - UMR 9189
2 DEFROST - Deformable Robots Simulation Team
Inria Lille - Nord Europe, CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille - 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.
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https://hal.inria.fr/hal-01660102
Contributor : Gang Zheng Connect in order to contact the contributor
Submitted on : Saturday, December 9, 2017 - 11:51:36 PM
Last modification on : Tuesday, November 22, 2022 - 2:26:16 PM

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  • HAL Id : hal-01660102, version 1

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Gang Zheng, Francisco Javier 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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