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Homogeneous Time-Varying Systems: Robustness Analysis

Hector Ríos 1 Denis Efimov 2 Andrey Polyakov 2 Wilfrid Perruquetti 2 
2 NON-A - Non-Asymptotic estimation for online systems
Inria Lille - Nord Europe, CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189
Abstract : The problem of stability robustness with respect to time-varying perturbations of a given frequency spectrum is studied applying homogeneity framework. The notion of finite-time stability over time intervals of finite length, i.e. short-finite-time stability, is introduced and used for that purpose. The results are applied to analyze the Super-Twisting Algorithm (STA) behavior under time-varying perturbations. Some simulation examples illustrate these robustness properties.
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Submitted on : Tuesday, March 8, 2016 - 9:35:27 AM
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Hector Ríos, Denis Efimov, Andrey Polyakov, Wilfrid Perruquetti. Homogeneous Time-Varying Systems: Robustness Analysis. IEEE Transactions on Automatic Control, 2016, 61 (12), pp.4075 - 4080. ⟨10.1109/TAC.2016.2540806⟩. ⟨hal-01284741⟩



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