3Ecole Centrale de Lille (Cité Scientifique - CS 20048 59651 Villeneuve d'Ascq Cedex - France)
Abstract : This work aims at decreasing the number of sampling instants in state feedback control for perturbed linear time invariant systems. The approach is based on linear matrix inequalities obtained thanks to Lyapunov-Razumikhin stability conditions and convexification arguments that guarantee the exponential stability for a chosen decay-rate. First, the method enables to perform a robust stability analysis regarding time-varying sampling and to maximize a lower-bound estimate of the maximal allowable sampling interval, by computing the adequate Lyapunov-Razumikhin function. Then, it makes it possible to design a state-dependent sampling control scheme that enlarges even further the maximal allowable sampling intervals.
https://hal.inria.fr/hal-00849833
Contributor : Christophe Fiter <>
Submitted on : Monday, September 7, 2015 - 11:12:21 AM Last modification on : Friday, December 11, 2020 - 6:44:07 PM Long-term archiving on: : Tuesday, December 8, 2015 - 11:47:27 AM