Stability Criteria for Asynchronous Sampled-data Systems - A Fragmentation Approach

Corentin Briat (1) , Alexandre Seuret (2, 3)

1 KTH - Department of Mathematics [Sweden]
2 NECS - Networked Controlled Systems
3 GIPSA-lab - Grenoble Images Parole Signal Automatique

The stability analysis of asynchronous sampled-data systems is studied. The approach is based on a recent result which allows to study, in an equivalent way, the quadratic stability of asynchronous sampled-data systems in a continuous-time framework via the use of peculiar functionals satisfying a necessary boundary condition. The method developed here is an extension of previous results using a fragmentation technique inspired from recent advances in time-delay systems theory. The approach leads to a tractable convex feasibility problem involving a small number of finite dimensional LMIs. The approach is then finally illustrated through several examples.

Mots clés: asynchronous sampled-data systems; robustness; LMIs

Domaines: Automatique / Robotique

Corentin Briat, Alexandre Seuret. Stability Criteria for Asynchronous Sampled-data Systems - A Fragmentation Approach. IFAC WC 2011 - 18th IFAC World Congress, Aug 2011, Milan, Italy. pp.6. ⟨hal-00575532⟩