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Robust finite-time output feedback stabilization of the double integrator

Emmanuel Bernuau 1 Wilfrid Perruquetti 2 Denis Efimov 2 Emmanuel Moulay 3
2 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
3 XLIM-SIC - SIC
Université de Poitiers, XLIM - XLIM
Abstract : The problem of finite-time output stabilization of the double integrator is addressed applying the homogeneity approach. A homogeneous controller and a homogeneous observer are designed (for different degrees of homogeneity) ensuring the finite-time stabilization. Their combination under mild conditions is shown to stay homogeneous and finite-time stable as well. Robustness and effects of discretization on the obtained closed loop system are analyzed. The efficiency of the obtained solution is demonstrated in computer simulations.
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https://hal.inria.fr/hal-01056207
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Submitted on : Monday, August 18, 2014 - 10:33:17 AM
Last modification on : Friday, March 22, 2019 - 1:36:03 AM
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Emmanuel Bernuau, Wilfrid Perruquetti, Denis Efimov, Emmanuel Moulay. Robust finite-time output feedback stabilization of the double integrator. International Journal of Control, Taylor & Francis, 2014, 88 (3), pp.451-460. ⟨10.1080/00207179.2014.956340⟩. ⟨hal-01056207⟩

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