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State-Dependent Sampling for Perturbed Time-Delay Systems

Christophe Fiter 1 Laurentiu Hetel 1 Wilfrid Perruquetti 1, 2, 3 Jean-Pierre Richard 1, 2, 3
1 SyNeR - Systèmes Non Linéaires et à Retards
CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189
2 NON-A - Non-Asymptotic estimation for online systems
Inria Lille - Nord Europe, CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189
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.
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Submitted on : Thursday, September 6, 2012 - 9:43:43 AM
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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⟩

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