Stability analysis of uncertain sampled-data systems with incremental delay using looped-functionals
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Alexandre Seuret [2] ; Corentin Briat [1]
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[1] Swiss Federal Institute of Technology in Zurich
Swiss Federal Institute of Technology in Zurich
Zürich, Suiza
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[2] Univ. de Toulouse, France
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- Localización: Automatica: A journal of IFAC the International Federation of Automatic Control, ISSN 0005-1098, Vol. 55, 2015, págs. 274-278
- Idioma: inglés
- Texto completo no disponible (Saber más ...)
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Resumen
The robust stability analysis of asynchronous and uncertain sampled-data systems with constant incremental input delay is addressed in the looped-functional framework. These functionals have been shown to be suitable for the analysis of impulsive systems as they allow one to express discrete-time stability conditions in an affine way, enabling then the consideration of uncertain and time-varying systems. The stability conditions are obtained by first reformulating the sampled-data system as an impulsive system, and by then considering a tailored looped-functional along with Wirtinger’s inequality, a recently introduced inequality that has been shown to be less conservative than Jensen’s inequality. Several examples are given for illustration.
