Issue |
ESAIM: COCV
Volume 2, 1997
|
|
---|---|---|
Page(s) | 57 - 87 | |
DOI | https://doi.org/10.1051/cocv:1997103 | |
Published online | 15 August 2002 |
Input to state stability properties of nonlinear systems and applications to bounded feedback stabilization using saturation
The concepts of stability, attractivity and asymptotic stability for systems subject to restrictions of the input values are introduced and analyzed in terms of Lyapunov functions. A comparison with the well known input-to-state stability property introduced by Sontag is provided. We use these concepts in order to derive sufficient conditions for global stabilization for triangular and feedforward systems by means of saturated bounded feedback controllers and also recover some recent results due to Teel.
Résumé
Des concepts de stabilité, attractivité et stabilité asymptotique pour des systèmes soumis à des contraintes sur l'entrée sont introduits et analysés en terme de fonctions de Lyapunov. On donne une comparaison avec la propriété bien connue de stabilité entrée-état introduite par Sontag. On utilise ces concepts pour en déduire des conditions suffisantes de stabilisation globale de systèmes triangulaires, ou possédant la forme "feedforward", à l'aide de feedbacks bornés saturants. On retrouve des résultats récents dûs à Teel.
© EDP Sciences, SMAI, 1997
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