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State-dependent sampling for online control

Christophe Fiter 1 Laurentiu Hetel 1 Wilfrid Perruquetti 2 Jean-Pierre Richard 2 
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 chapter, we present a novel self-triggered control which aims at decreasing the number of sampling instants for the state feedback control of perturbed linear time invariant systems. The approach is based on convex embeddings that allow for designing a state-dependent sampling function guaranteeing the system's exponential stability for a desired decay-rate and norm-bounded perturbations. One of the main contributions of this work is an LMI based algorithm that optimizes the choice of the Lyapunov function so as to enlarge the lower-bound of the sampling function while taking into account both the perturbations and the decay-rate. The advantages of the approach are illustrated with a numerical example from the literature.
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Submitted on : Monday, July 9, 2018 - 10:14:52 AM
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  • HAL Id : hal-01832867, version 1


Christophe Fiter, Laurentiu Hetel, Wilfrid Perruquetti, Jean-Pierre Richard. State-dependent sampling for online control. Alexandre Seuret; Hitay Özbay; Catherine Bonnet; Hugues Mounier. Low-Complexity Controllers for Time-Delay Systems, 2, Springer International Publishing, pp.3-16, 2014, Advances in Delays and Dynamics, 978-3-319-05575-6. ⟨hal-01832867⟩



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