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

Tel Aviv University

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

12 Citations (Scopus)

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	20th IFAC World Congress
Volume	50
Issue number	1
DOIs	https://doi.org/10.1016/j.ifacol.2017.08.2120
Publication status	Published - Jul 2017
Externally published	Yes

Keywords

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

Access to Document

10.1016/j.ifacol.2017.08.2120

Cite this

@article{88cfbb2e7015449cac51c652301eb807,

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 = "English",

volume = "50",

pages = "12002--12007",

journal = "20th IFAC World Congress",

issn = "2405-8963",

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 - https://www.scopus.com/pages/publications/85044672081

U2 - 10.1016/j.ifacol.2017.08.2120

DO - 10.1016/j.ifacol.2017.08.2120

M3 - Article

AN - SCOPUS:85044672081

SN - 2405-8963

VL - 50

SP - 12002

EP - 12007

JO - 20th IFAC World Congress

JF - 20th IFAC World Congress

IS - 1

ER -

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

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this