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Journal Articles International Journal of Control Year : 2014

Robust finite-time output feedback stabilization of the double integrator

Denis Efimov
Emmanuel Moulay
SIC

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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Dates and versions

hal-01056207 , version 1 (18-08-2014)

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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, 2014, 88 (3), pp.451-460. ⟨10.1080/00207179.2014.956340⟩. ⟨hal-01056207⟩
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