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Lyapunov Stability Tools for Sliding Modes

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Road Map for Sliding Mode Control Design

Part of the book series: SpringerBriefs in Mathematics ((BRIEFSMATH))

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Abstract

In this chapter, the Lyapunov stability tools for sliding modes analysis are considered. The notion of finite-time stabilization is introduced, and the finite-time suitability analysis is discussed based on the homogeneity property of the considered controllable system. The realization of fixed-time stability is also presented.

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Author information

Authors and Affiliations

  1. Ohio State University, Columbus, OH, USA

    Vadim Utkin

  2. Control Automatico Dpto, Cinvestav-Inst Politécnico Nacional, Mexico, Distrito Federal, Mexico

    Alex Poznyak

  3. Electronics and Telecommunications, CICESE Research Center, Ensenada, Baja California, Mexico

    Yury V. Orlov

  4. NON-A team of Inria in Lille, Inria Lille-Nord Europe, Villeneuve-d’Ascq, France

    Andrey Polyakov

Authors
  1. Vadim Utkin
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  2. Alex Poznyak
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  3. Yury V. Orlov
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  4. Andrey Polyakov
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Corresponding author

Correspondence to Vadim Utkin .

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Utkin, V., Poznyak, A., Orlov, Y.V., Polyakov, A. (2020). Lyapunov Stability Tools for Sliding Modes. In: Road Map for Sliding Mode Control Design. SpringerBriefs in Mathematics. Springer, Cham. https://doi.org/10.1007/978-3-030-41709-3_4

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