Finite-time output stabilization of the double integrator

Emmanuel Bernuau (1) , Wilfrid Perruquetti (2, 3) , Denis Efimov (2) , Emmanuel Moulay (4)

1 LAGIS - Laboratoire d'Automatique, Génie Informatique et Signal
2 NON-A - Non-Asymptotic estimation for online systems
3 SyNeR - Systèmes Non Linéaires et à Retards
4 XLIM-SIC - SIC

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.

Domaines: Automatique

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⟩