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Conference Papers Year : 2013

Robustness of finite-time stability property for sliding modes

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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Dates and versions

hal-00745673 , version 1 (26-10-2012)

Identifiers

  • HAL Id : hal-00745673 , version 1

Cite

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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