Exponential stability and stabilization of sampled-data systems with time-varying period

Alexandre Seuret (1, 2)

1 NECS - Networked Controlled Systems
2 GIPSA-lab - Grenoble Images Parole Signal Automatique

This article proposes a novel approach to assess the exponential stability of linear systems with sampled-data inputs. The paper considers both uncertainties in the model parameters and in the sampling period. Inspired by the input-delay approach and the stability of impulsive systems, the proposed method provides easy tractable stability conditions. Sufficient stability and stabilization conditions are provided to deal with both cases of constant and time-varying sampling periods. The period-dependent conditions are expressed using computable linear matrix inequalities. Several examples show the efficiency and the limitation of such stability criteria.

Domaines: Automatique / Robotique

Alexandre Seuret. Exponential stability and stabilization of sampled-data systems with time-varying period. IFAC TDS 2010 - 9th IFAC Workshop on Time Delay Systems, Jun 2010, Prague, Czech Republic. ⟨hal-00458829⟩