Robustness of Homogeneous Systems with Respect to Time-Varying Perturbations

Rios Hector 1 Denis Efimov 1, 2 Wilfrid Perruquetti 1, 2, 3
1 NON-A - Non-Asymptotic estimation for online systems
Inria Lille - Nord Europe, CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189
2 SyNeR - Systèmes Non Linéaires et à Retards
CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - 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 behavior under some time-varying perturbations, and to demonstrate some robustness properties of the three-tank system. Some simulation examples illustrate these robustness properties.
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Rios Hector, Denis Efimov, Wilfrid Perruquetti. Robustness of Homogeneous Systems with Respect to Time-Varying Perturbations. [Research Report] Inria Lille; Non-A team. 2015. ⟨hal-01204800⟩

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