Title :

Observer synthesis under time-varying sampling for Lipschitz nonlinear systems

Author(s) :

Etienne, Lucien [Auteur]
Non-Asymptotic estimation for online systems [NON-A]
Hetel, Laurentiu [Auteur]
Systèmes Non Linéaires et à Retards [SyNeR]
Efimov, Denis [Auteur]
Non-Asymptotic estimation for online systems [NON-A]
Petreczky, Mihaly [Auteur]
Systèmes Non Linéaires et à Retards [SyNeR]

Journal title :

Automatica

Pages :

433-440

Publisher :

Elsevier

Publication date :

2017

ISSN :

0005-1098

English keyword(s) :

Continuous–discrete observers
Nonlinear systems
Hybrid systems
Impulsive observer
Continuous-discrete observers

HAL domain(s) :

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

English abstract : [en]

In this work, the problem of observation of continuous-time nonlinear Lipschitz systems under time-varying discrete measurements is considered. This class of systems naturally occurs when continuous processes are observed ...
Show more >In this work, the problem of observation of continuous-time nonlinear Lipschitz systems under time-varying discrete measurements is considered. This class of systems naturally occurs when continuous processes are observed through digital sensors and information is sent via a network to a computer for state estimation. Since the network introduces variations in the sampling time, the observer must be designed so that it takes them into account. Here impulsive observers, which make instantaneous correction when information is received, are investigated. Moreover, we consider time-varying observer gains adapting to the varying sampling interval. In order to deal with both continuous-time and discrete-time dynamics, a new hybrid model is used to state the problem and establish the convergence of the proposed observer. First, generic conditions are provided using a hybrid Lyapunov function. Then, a restriction of the generic Lyapunov function is used to establish tractable conditions that allows the analysis and synthesis of an impulsive gain.Show less >

Language :

Anglais

Popular science :

Non

Collections :

• Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189

Source :

Harvested from HAL