On homogeneity and its application in sliding mode control

Emmanuel Bernuau 1 Denis Efimov 2, 3 Wilfrid Perruquetti 1, 3 Andrey Polyakov 3
2 SyNeR - Systèmes Non Linéaires et à Retards
CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189
3 NON-A - Non-Asymptotic estimation for online systems
CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189, Inria Lille - Nord Europe
Abstract : The paper is reviewing the tools to handle high-order sliding mode design and robustness. The main ingredient is homogeneity which can be checked using an algebraic test and which helps us in obtaining one of the most desired properties in sliding mode control that is finite-time stability. This paper stresses some recently obtained results about homogeneity for differential inclusions and robustness with respect to perturbations in the context of input-to-state stability. Lastly within this framework, most of the popular high-order sliding mode control schemas are analysed.
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Submitted on : Wednesday, February 5, 2014 - 3:56:46 PM
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Emmanuel Bernuau, Denis Efimov, Wilfrid Perruquetti, Andrey Polyakov. On homogeneity and its application in sliding mode control. Journal of The Franklin Institute, Elsevier, 2014, ⟨10.1016/j.jfranklin.2014.01.007⟩. ⟨hal-00942326⟩

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