A sampled-data observer with time-varying gain for a class of nonlinear systems with sampled-measurements

Tarek Ahmed-Ali; Laurent Burlion; Françoise Lamnabhi-Lagarrigue; Cheikh Hann

doi:10.1109/CDC.2014.7039400

A sampled-data observer with time-varying gain for a class of nonlinear systems with sampled-measurements

Tarek Ahmed-Ali, Laurent Burlion, Françoise Lamnabhi-Lagarrigue, Cheikh Hann

Research output: Contribution to journal › Conference article › peer-review

7 Scopus citations

Abstract

In this paper a new exponential observer for a class of nonlinear systems with sampled measurements is presented. This observer uses a time-varying gain, which is solution of an ordinary differential equation between two sampling instants. The proposed algorithm can be viewed as a generalization of the observer developed in [1]. The exponential convergence of the proposed observer is proved by using small gain arguments and a bound of the maximum allowable sampling period is provided. Performances of our observer and comparisons with existing observers are also presented.

Original language	English (US)
Article number	7039400
Pages (from-to)	316-321
Number of pages	6
Journal	Proceedings of the IEEE Conference on Decision and Control
Volume	2015-February
Issue number	February
DOIs	https://doi.org/10.1109/CDC.2014.7039400
State	Published - 2014
Externally published	Yes
Event	2014 53rd IEEE Annual Conference on Decision and Control, CDC 2014 - Los Angeles, United States Duration: Dec 15 2014 → Dec 17 2014

All Science Journal Classification (ASJC) codes

Control and Systems Engineering
Modeling and Simulation
Control and Optimization

Keywords

Impulsive systems
Nonlinear observers
Sampled measurements
Small gain theorem

Access to Document

10.1109/CDC.2014.7039400

Cite this

@article{ae0a99d6f9914b2e9f85000b1523c322,

title = "A sampled-data observer with time-varying gain for a class of nonlinear systems with sampled-measurements",

abstract = "In this paper a new exponential observer for a class of nonlinear systems with sampled measurements is presented. This observer uses a time-varying gain, which is solution of an ordinary differential equation between two sampling instants. The proposed algorithm can be viewed as a generalization of the observer developed in [1]. The exponential convergence of the proposed observer is proved by using small gain arguments and a bound of the maximum allowable sampling period is provided. Performances of our observer and comparisons with existing observers are also presented.",

keywords = "Impulsive systems, Nonlinear observers, Sampled measurements, Small gain theorem",

author = "Tarek Ahmed-Ali and Laurent Burlion and Fran{\c c}oise Lamnabhi-Lagarrigue and Cheikh Hann",

note = "Publisher Copyright: {\textcopyright} 2014 IEEE.; 2014 53rd IEEE Annual Conference on Decision and Control, CDC 2014 ; Conference date: 15-12-2014 Through 17-12-2014",

year = "2014",

doi = "10.1109/CDC.2014.7039400",

language = "English (US)",

volume = "2015-February",

pages = "316--321",

journal = "Proceedings of the IEEE Conference on Decision and Control",

issn = "0191-2216",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

number = "February",

}

A sampled-data observer with time-varying gain for a class of nonlinear systems with sampled-measurements. / Ahmed-Ali, Tarek; Burlion, Laurent; Lamnabhi-Lagarrigue, Françoise et al.
In: Proceedings of the IEEE Conference on Decision and Control, Vol. 2015-February, No. February, 7039400, 2014, p. 316-321.

Research output: Contribution to journal › Conference article › peer-review

TY - JOUR

T1 - A sampled-data observer with time-varying gain for a class of nonlinear systems with sampled-measurements

AU - Ahmed-Ali, Tarek

AU - Burlion, Laurent

AU - Lamnabhi-Lagarrigue, Françoise

AU - Hann, Cheikh

PY - 2014

Y1 - 2014

N2 - In this paper a new exponential observer for a class of nonlinear systems with sampled measurements is presented. This observer uses a time-varying gain, which is solution of an ordinary differential equation between two sampling instants. The proposed algorithm can be viewed as a generalization of the observer developed in [1]. The exponential convergence of the proposed observer is proved by using small gain arguments and a bound of the maximum allowable sampling period is provided. Performances of our observer and comparisons with existing observers are also presented.

AB - In this paper a new exponential observer for a class of nonlinear systems with sampled measurements is presented. This observer uses a time-varying gain, which is solution of an ordinary differential equation between two sampling instants. The proposed algorithm can be viewed as a generalization of the observer developed in [1]. The exponential convergence of the proposed observer is proved by using small gain arguments and a bound of the maximum allowable sampling period is provided. Performances of our observer and comparisons with existing observers are also presented.

KW - Impulsive systems

KW - Nonlinear observers

KW - Sampled measurements

KW - Small gain theorem

UR - http://www.scopus.com/inward/record.url?scp=84988281708&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84988281708&partnerID=8YFLogxK

U2 - 10.1109/CDC.2014.7039400

DO - 10.1109/CDC.2014.7039400

M3 - Conference article

AN - SCOPUS:84988281708

SN - 0191-2216

VL - 2015-February

SP - 316

EP - 321

JO - Proceedings of the IEEE Conference on Decision and Control

JF - Proceedings of the IEEE Conference on Decision and Control

IS - February

M1 - 7039400

T2 - 2014 53rd IEEE Annual Conference on Decision and Control, CDC 2014

Y2 - 15 December 2014 through 17 December 2014

ER -

A sampled-data observer with time-varying gain for a class of nonlinear systems with sampled-measurements

Abstract

All Science Journal Classification (ASJC) codes

Keywords

Access to Document

Other files and links

Fingerprint

Cite this