Stability analysis of asynchronous sampled-data systems with discrete-time constant input delay

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

1 LAAS - Laboratoire d'analyse et d'architecture des systèmes
2 D-BSSE - Department of Biosystems Science and Engineering [ETH Zürich]
3 LAAS-MAC - Équipe Méthodes et Algorithmes en Commande

Aperiodic sampled-data systems controlled by a delayed state-feedback controller arise naturally in networked control systems. We propose a novel way to analyze the stability of sampled-data systems with discrete-time constant input delay by, first, reformulating the system into an aperiodic discrete-time system with constant delay and by, then, considering a mixture of a discrete-time Lyapunov-Krasovskii functional and a looped-functional in order to account for the presence of the delay and the sampling aperiodicity, respectively. Stability criteria, expressed as linear matrix inequalities, are derived for both certain and uncertain (time-varying) systems. An example is given for illustration.

Mots clés: LMI; Sampled-data Systems; Time Delay Systems; Looped functionals; LMI.

Domaines: Automatique / Robotique

Alexandre Seuret, Corentin Briat, Frédéric Gouaisbaut. Stability analysis of asynchronous sampled-data systems with discrete-time constant input delay. 53th IEEE Conference on Decision and Control, Dec 2014, Los Angeles, CA, United States. pp. 4342-4347. ⟨hal-01065152⟩