InforLorV4, Main, Exploration, bibRecord, 001381

Cascaded-based stabilization of time-varying systems using second-order sliding modes

Identifieur interne : 001381 ( Main/Exploration ); précédent : 001380; suivant : 001382

Cascaded-based stabilization of time-varying systems using second-order sliding modes

Auteurs : Antonio Estrada [France] ; Antonio Loria [France] ; Raul Santiesteban [France] ; Leonid Fridman [Mexique]

Source :

RBID : Hal:hal-00831445

Abstract

We present a result on stabilization of strict feedback systems with unknown disturbances based on the so-called twisting algorithm, a second-order sliding mode controller for the double integrator. The novelty of the note relies in the stability analysis of the closed-loop system and the relaxation of stability conditions (we do not assume boundedness of trajectories). The proof of the main result is constructed along similar lines as for well-established theorems for nonlinear time-varying systems in cascade, with continuous right-hand sides. Although we restrict our analysis to second-order systems, the purpose of this note is to settle the basis for a methodological stability analysis approach for higher-order systems in strict feedback form, under the influence of uncertain perturbations. An illustrative example is provided.

Url:

https://hal.archives-ouvertes.fr/hal-00831445

DOI: 10.1093/imamci/dns018

Affiliations:

France, Mexique

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Le document en format XML

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<front><div type="abstract" xml:lang="en">We present a result on stabilization of strict feedback systems with unknown disturbances based on the so-called twisting algorithm, a second-order sliding mode controller for the double integrator. The novelty of the note relies in the stability analysis of the closed-loop system and the relaxation of stability conditions (we do not assume boundedness of trajectories). The proof of the main result is constructed along similar lines as for well-established theorems for nonlinear time-varying systems in cascade, with continuous right-hand sides. Although we restrict our analysis to second-order systems, the purpose of this note is to settle the basis for a methodological stability analysis approach for higher-order systems in strict feedback form, under the influence of uncertain perturbations. An illustrative example is provided.</div>
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Cascaded-based stabilization of time-varying systems using second-order sliding modes

Cascaded-based stabilization of time-varying systems using second-order sliding modes

Source :

Abstract

Links toward previous steps (curation, corpus...)

Le document en format XML

Pour manipuler ce document sous Unix (Dilib)

Pour mettre un lien sur cette page dans le réseau Wicri