State-dependent sampling for online control

Fiter, Christophe; HETEL, Laurentiu; Perruquetti, Wilfrid; Richard, Jean-Pierre

Document type :

Partie d'ouvrage

Title :

State-dependent sampling for online control

Author(s) :

Fiter, Christophe [Auteur]

Systèmes Non Linéaires et à Retards [SyNeR]
HETEL, Laurentiu [Auteur]

Systèmes Non Linéaires et à Retards [SyNeR]
Perruquetti, Wilfrid [Auteur]
Non-Asymptotic estimation for online systems [NON-A]
Richard, Jean-Pierre [Auteur]
Non-Asymptotic estimation for online systems [NON-A]

Scientific editor(s) :

Alexandre Seuret
Hitay Özbay
Catherine Bonnet
Hugues Mounier

Book title :

Low-Complexity Controllers for Time-Delay Systems

Publisher :

Springer International Publishing

Publication date :

2014

ISBN :

978-3-319-05575-6

HAL domain(s) :

Informatique [cs]/Automatique

English abstract : [en]

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 ...
Show more >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.Show less >

Language :

Anglais

Audience :

Internationale

Popular science :

Non

Collections :