Discrete and intersample analysis of systems with aperiodic sampling

HETEL, Laurentiu; Kruszewski, Alexandre; Perruquetti, Wilfrid; Richard, Jean-Pierre

Document type :

Article dans une revue scientifique

DOI :

10.1109/TAC.2011.2122690

Title :

Discrete and intersample analysis of systems with aperiodic sampling

Author(s) :

HETEL, Laurentiu [Auteur correspondant]

Systèmes Non Linéaires et à Retards [SyNeR]
Kruszewski, Alexandre [Auteur]
Laboratoire d'Automatique, Génie Informatique et Signal [LAGIS]
Perruquetti, Wilfrid [Auteur]
Algebra for Digital Identification and Estimation [ALIEN]
Laboratoire d'Automatique, Génie Informatique et Signal [LAGIS]
Richard, Jean-Pierre [Auteur]
Systèmes Non Linéaires et à Retards [SyNeR]
Algebra for Digital Identification and Estimation [ALIEN]

Journal title :

IEEE Transactions on Automatic Control

Pages :

Publisher :

Institute of Electrical and Electronics Engineers

Publication date :

2011

ISSN :

0018-9286

HAL domain(s) :

Sciences de l'ingénieur [physics]/Automatique / Robotique

English abstract : [en]

This article addresses the stability analysis of linear time invariant systems with aperiodic sampled-data control. Adopting a difference inclusion formalism, we show that necessary and sufficient stability conditions are ...
Show more >This article addresses the stability analysis of linear time invariant systems with aperiodic sampled-data control. Adopting a difference inclusion formalism, we show that necessary and sufficient stability conditions are given by the existence of discrete-time quasi-quadratic Lyapunov functions. A constructive method for computing such functions is provided from the approximation of the necessary and sufficient conditions. In practice, this leads to sufficient stability criteria under LMI form. The inter-sampling behavior is discussed there: based on differential inclusions, we provide continuous-time methods that use the advantages of the discrete-time approach. The results are illustrated by numerical examples that indicate the improvement with regard to the existing literature.Show less >

Language :

Anglais

Peer reviewed article :

Oui

Audience :

Internationale

Popular science :

Non

European Project :

Highly-complex and networked control systems

Collections :