Finite-time output stabilization of the double integrator

Emmanuel Bernuau 1 Wilfrid Perruquetti 2, 3 Denis Efimov 2 Emmanuel Moulay 4
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 SyNeR - Systèmes Non Linéaires et à Retards
CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189
4 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 degree of homogeneity) ensuring the finite-time stabilization. Their combination under mild conditions is shown to stay homogeneous and finite-time stable as well. The efficiency of the obtained solution is demonstrated in computer simulations.
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Emmanuel Bernuau, Wilfrid Perruquetti, Denis Efimov, Emmanuel Moulay. Finite-time output stabilization of the double integrator. 51st IEEE Conference on Decision and Control 2012, Dec 2012, Hawaii, United States. ⟨hal-00745512⟩

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