On the stability of input-affine nonlinear ...
Document type :
Communication dans un congrès avec actes
Title :
On the stability of input-affine nonlinear systems with sampled-data control
Author(s) :
Omran, Hassan [Auteur]
Systèmes Non Linéaires et à Retards [SyNeR]
HETEL, Laurentiu [Auteur]
Systèmes Non Linéaires et à Retards [SyNeR]
Richard, Jean-Pierre [Auteur]
Non-Asymptotic estimation for online systems [NON-A]
Systèmes Non Linéaires et à Retards [SyNeR]
Centrale Lille
Lamnabhi-Lagarrigue, Françoise [Auteur]
Laboratoire des signaux et systèmes [L2S]
Systèmes Non Linéaires et à Retards [SyNeR]
HETEL, Laurentiu [Auteur]

Systèmes Non Linéaires et à Retards [SyNeR]
Richard, Jean-Pierre [Auteur]
Non-Asymptotic estimation for online systems [NON-A]
Systèmes Non Linéaires et à Retards [SyNeR]
Centrale Lille
Lamnabhi-Lagarrigue, Françoise [Auteur]
Laboratoire des signaux et systèmes [L2S]
Conference title :
12th European Control Conference (ECC 2013)
City :
Zurich
Country :
Suisse
Start date of the conference :
2013-07-17
Publication date :
2013-07
HAL domain(s) :
Informatique [cs]
English abstract : [en]
This paper is dedicated to the stability analysis of nonlinear sampled-data systems, which are affine in the input. Assuming that a stabilizing continuous-time controller exists and it is implemented digitally, we intend ...
Show more >This paper is dedicated to the stability analysis of nonlinear sampled-data systems, which are affine in the input. Assuming that a stabilizing continuous-time controller exists and it is implemented digitally, we intend to provide sufficient asymptotic/exponential stability conditions for the sampled-data system. This allows to find an estimate of the upper bound on the asynchronous sampling periods. The stability analysis problem is formulated both globally and locally. The main idea of the paper is to address the stability problem in the framework of dissipativity theory. Furthermore, the result is particularized for the class of polynomial input-affine sampled-data systems, where stability may be tested numerically using sum of squares decomposition and semidefinite programming.Show less >
Show more >This paper is dedicated to the stability analysis of nonlinear sampled-data systems, which are affine in the input. Assuming that a stabilizing continuous-time controller exists and it is implemented digitally, we intend to provide sufficient asymptotic/exponential stability conditions for the sampled-data system. This allows to find an estimate of the upper bound on the asynchronous sampling periods. The stability analysis problem is formulated both globally and locally. The main idea of the paper is to address the stability problem in the framework of dissipativity theory. Furthermore, the result is particularized for the class of polynomial input-affine sampled-data systems, where stability may be tested numerically using sum of squares decomposition and semidefinite programming.Show less >
Language :
Anglais
Peer reviewed article :
Oui
Audience :
Internationale
Popular science :
Non
Collections :
Source :