Robustness of finite-time stability property for sliding modes

Emmanuel Bernuau 1 Andrey Polyakov 2 Denis Efimov 2 Wilfrid Perruquetti 3, 2
2 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
3 SyNeR - Systèmes Non Linéaires et à Retards
CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189
Abstract : The paper is devoted to analysis of robustness of the finite-time stability property for discontinuous systems using the homogeneity framework. A short introduction into sliding-mode systems, homogeneity and finite-time stability is given. The main result connects the homogeneity degree of a discontinuous system and its type of robust stability. For robustness analysis the input-to-state stability method is used. The proposed theory is applied to a series of well known sliding-mode control algorithms.
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Emmanuel Bernuau, Andrey Polyakov, Denis Efimov, Wilfrid Perruquetti. Robustness of finite-time stability property for sliding modes. Joint SSSC, TDS, FDA 2013, Feb 2013, Grenoble, France. ⟨hal-00745673⟩

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