3Ecole Centrale de Lille (Cité Scientifique - CS 20048 59651 Villeneuve d'Ascq Cedex - France)
Abstract : In this work we present a state-dependent sampling control that allows for enlarging the sampling intervals of state-feedback control. We consider the case of perturbed linear time-invariant systems with input-delay and guarantee their L2-stability. The approach is based on a novel class of switched Lyapunov-Krasovskii functionals with state-dependent matrices. It results in an LMI problem that allows for enlarging the sampling interval according to the system state. Then, a mapping of the state space is designed offline: it computes for each state of the state space a lower-bound estimation of the maximum allowable sampling interval, which makes it possible to reduce the number of actuations during the real-time control of the system.
https://hal.archives-ouvertes.fr/hal-00728437
Contributor : Christophe Fiter <>
Submitted on : Thursday, September 6, 2012 - 9:43:43 AM Last modification on : Friday, December 11, 2020 - 6:44:07 PM Long-term archiving on: : Friday, December 7, 2012 - 3:41:50 AM
Christophe Fiter, Laurentiu Hetel, Wilfrid Perruquetti, Jean-Pierre Richard. State-Dependent Sampling for Perturbed Time-Delay Systems. 51st IEEE Conference on Decision and Control, Dec 2012, Maui, Hawaï, United States. pp.CD. ⟨hal-00728437⟩