Boundary control of reaction-diffusion equation with state-delay in the presence of saturation*

Wen Kang; Emilia Fridman

doi:10.1016/j.ifacol.2017.08.2120

Boundary control of reaction-diffusion equation with state-delay in the presence of saturation^*

Wen Kang, Emilia Fridman

School of Electrical Engineering

Tel Aviv University

Research output: Contribution to journal › Article › peer-review

Abstract

The boundary stabilization for reaction-diffusion equation with state delay in the presence of actuator saturation is concerned. The state feedback is designed by using the backstepping method. We find a bound on the domain of attraction. The latter bound is based on Lyapunov method, whereas the exponential stability is proved by using Halanay's inequality. A numerical example validates the efficiency of the method.

Original language	English
Pages (from-to)	12002-12007
Number of pages	6
Journal	IFAC-PapersOnLine
Volume	50
Issue number	1
DOIs	https://doi.org/10.1016/j.ifacol.2017.08.2120
State	Published - Jul 2017

Keywords

Distributed parameter systems
actuator saturation
reaction-diffusion equation
time-delay

All Science Journal Classification (ASJC) codes

Control and Systems Engineering

Access to Document

10.1016/j.ifacol.2017.08.2120

Cite this

@article{7ec02dc4dff7457999c2644d1a12cc91,

title = "Boundary control of reaction-diffusion equation with state-delay in the presence of saturation*",

abstract = "The boundary stabilization for reaction-diffusion equation with state delay in the presence of actuator saturation is concerned. The state feedback is designed by using the backstepping method. We find a bound on the domain of attraction. The latter bound is based on Lyapunov method, whereas the exponential stability is proved by using Halanay's inequality. A numerical example validates the efficiency of the method.",

keywords = "Distributed parameter systems, actuator saturation, reaction-diffusion equation, time-delay",

author = "Wen Kang and Emilia Fridman",

note = "Publisher Copyright: {\textcopyright} 2017",

year = "2017",

month = jul,

doi = "10.1016/j.ifacol.2017.08.2120",

language = "الإنجليزيّة",

volume = "50",

pages = "12002--12007",

journal = "IFAC-PapersOnLine",

issn = "2405-8963",

publisher = "IFAC Secretariat",

number = "1",

}

TY - JOUR

T1 - Boundary control of reaction-diffusion equation with state-delay in the presence of saturation*

AU - Kang, Wen

AU - Fridman, Emilia

PY - 2017/7

Y1 - 2017/7

N2 - The boundary stabilization for reaction-diffusion equation with state delay in the presence of actuator saturation is concerned. The state feedback is designed by using the backstepping method. We find a bound on the domain of attraction. The latter bound is based on Lyapunov method, whereas the exponential stability is proved by using Halanay's inequality. A numerical example validates the efficiency of the method.

AB - The boundary stabilization for reaction-diffusion equation with state delay in the presence of actuator saturation is concerned. The state feedback is designed by using the backstepping method. We find a bound on the domain of attraction. The latter bound is based on Lyapunov method, whereas the exponential stability is proved by using Halanay's inequality. A numerical example validates the efficiency of the method.

KW - Distributed parameter systems

KW - actuator saturation

KW - reaction-diffusion equation

KW - time-delay

UR - http://www.scopus.com/inward/record.url?scp=85044672081&partnerID=8YFLogxK

U2 - 10.1016/j.ifacol.2017.08.2120

DO - 10.1016/j.ifacol.2017.08.2120

M3 - مقالة

SN - 2405-8963

VL - 50

SP - 12002

EP - 12007

JO - IFAC-PapersOnLine

JF - IFAC-PapersOnLine

IS - 1

ER -