A new approach to enlarging sampling intervals for sampled-data systems

T. Ahmed-Ali; E. Fridman; F. Giri; L. Burlion; F. Lamnabhi-Lagarrigue

doi:10.1016/j.ifacol.2015.09.418

A new approach to enlarging sampling intervals for sampled-data systems

T. Ahmed-Ali, E. Fridman, F. Giri, L. Burlion, F. Lamnabhi-Lagarrigue

School of Electrical Engineering

Tel Aviv University

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

Abstract

This paper provides exponential stability results for a family of nonlinear ODE systems which involves sampled-data states and a time-varying gain. Sufficient conditions ensuring global exponential stability are established in terms of Linear Matrix Inequalities (LMIs) derived on the basis of Lyapunov-Krasvoskii functionals. The established stability results prove to be useful in designing exponentially convergent observers based on the sampled-data measurements. It is shown throughout simple examples from the literature that the introduction of time-varying gains is quite beneficial for the enlargement of sampling intervals while preserving the stability of the system.

Original language	English
Pages (from-to)	440-445
Number of pages	6
Journal	IFAC-PapersOnLine
Volume	28
Issue number	12
DOIs	https://doi.org/10.1016/j.ifacol.2015.09.418
State	Published - 1 Jul 2015
Event	12th IFAC Workshop on Time Delay Systems, TDS 2015 - Ann Arbor, United States Duration: 28 Jun 2015 → 30 Jun 2015

Keywords

Sampled-data observers
Sampled-data systems
Time-varying gain

All Science Journal Classification (ASJC) codes

Control and Systems Engineering

Access to Document

10.1016/j.ifacol.2015.09.418

Cite this

@article{453f20e6e69a46bda8b945eb29641b75,

title = "A new approach to enlarging sampling intervals for sampled-data systems",

abstract = "This paper provides exponential stability results for a family of nonlinear ODE systems which involves sampled-data states and a time-varying gain. Sufficient conditions ensuring global exponential stability are established in terms of Linear Matrix Inequalities (LMIs) derived on the basis of Lyapunov-Krasvoskii functionals. The established stability results prove to be useful in designing exponentially convergent observers based on the sampled-data measurements. It is shown throughout simple examples from the literature that the introduction of time-varying gains is quite beneficial for the enlargement of sampling intervals while preserving the stability of the system.",

keywords = "Sampled-data observers, Sampled-data systems, Time-varying gain",

author = "T. Ahmed-Ali and E. Fridman and F. Giri and L. Burlion and F. Lamnabhi-Lagarrigue",

note = "Publisher Copyright: {\textcopyright} 2015, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.; 12th IFAC Workshop on Time Delay Systems, TDS 2015 ; Conference date: 28-06-2015 Through 30-06-2015",

year = "2015",

month = jul,

day = "1",

doi = "10.1016/j.ifacol.2015.09.418",

language = "الإنجليزيّة",

volume = "28",

pages = "440--445",

journal = "IFAC-PapersOnLine",

issn = "2405-8963",

publisher = "IFAC Secretariat",

number = "12",

}

TY - JOUR

T1 - A new approach to enlarging sampling intervals for sampled-data systems

AU - Ahmed-Ali, T.

AU - Fridman, E.

AU - Giri, F.

AU - Burlion, L.

AU - Lamnabhi-Lagarrigue, F.

PY - 2015/7/1

Y1 - 2015/7/1

N2 - This paper provides exponential stability results for a family of nonlinear ODE systems which involves sampled-data states and a time-varying gain. Sufficient conditions ensuring global exponential stability are established in terms of Linear Matrix Inequalities (LMIs) derived on the basis of Lyapunov-Krasvoskii functionals. The established stability results prove to be useful in designing exponentially convergent observers based on the sampled-data measurements. It is shown throughout simple examples from the literature that the introduction of time-varying gains is quite beneficial for the enlargement of sampling intervals while preserving the stability of the system.

AB - This paper provides exponential stability results for a family of nonlinear ODE systems which involves sampled-data states and a time-varying gain. Sufficient conditions ensuring global exponential stability are established in terms of Linear Matrix Inequalities (LMIs) derived on the basis of Lyapunov-Krasvoskii functionals. The established stability results prove to be useful in designing exponentially convergent observers based on the sampled-data measurements. It is shown throughout simple examples from the literature that the introduction of time-varying gains is quite beneficial for the enlargement of sampling intervals while preserving the stability of the system.

KW - Sampled-data observers

KW - Sampled-data systems

KW - Time-varying gain

UR - http://www.scopus.com/inward/record.url?scp=84954112875&partnerID=8YFLogxK

U2 - 10.1016/j.ifacol.2015.09.418

DO - 10.1016/j.ifacol.2015.09.418

M3 - مقالة من مؤنمر

SN - 2405-8963

VL - 28

SP - 440

EP - 445

JO - IFAC-PapersOnLine

JF - IFAC-PapersOnLine

IS - 12

T2 - 12th IFAC Workshop on Time Delay Systems, TDS 2015

Y2 - 28 June 2015 through 30 June 2015

ER -

A new approach to enlarging sampling intervals for sampled-data systems

Abstract

Keywords

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this