L1-gain control design for positive 2D continuous delayed systems

Zhaoxia Duan; Yue  Sun; Choon Ki  Ahn; Zhengrong Xiang; Imran Ghous

doi:10.1109/tcsii.2021.3106744

L1-gain control design for positive 2D continuous delayed systems

Zhaoxia Duan
, Yue Sun
, Choon Ki Ahn
, Zhengrong Xiang
, Imran Ghous

Hohai University
Korea University
Nanjing University of Science and Technology
COMSATS University Islamabad

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

17 Citations (Scopus)

Abstract

L1 -gain control design is investigated in the brief for positive two-dimensional (2D) continuous delayed systems in the form of Roesser models. A new approach based on 2D Laplace transformation is presented to analyze L1 -gain stability performance. By using the method of singular value decomposition, linear programming effectively solved the L1 -gain controller design problem. Finally, an example is provided to prove the correctness of the result.

Original language	English
Pages (from-to)	1317 - 1321
Number of pages	5
Journal	IEEE Transactions on Circuits and Systems II: Express Briefs
Volume	69
Issue number	3
DOIs	https://doi.org/10.1109/tcsii.2021.3106744
Publication status	Published - 23 Aug 2021

Keywords

Delays
L -gain
Positive system
Roesser model

ASJC Scopus subject areas

Electrical and Electronic Engineering

Access to Document

10.1109/tcsii.2021.3106744

https://ieeexplore.ieee.org/document/9520646

Handle.net

Persistent link

Cite this

@article{3e4555b6e501463cae94ac05ab11f771,

title = "L1-gain control design for positive 2D continuous delayed systems",

abstract = "L1 -gain control design is investigated in the brief for positive two-dimensional (2D) continuous delayed systems in the form of Roesser models. A new approach based on 2D Laplace transformation is presented to analyze L1 -gain stability performance. By using the method of singular value decomposition, linear programming effectively solved the L1 -gain controller design problem. Finally, an example is provided to prove the correctness of the result.",

keywords = "Delays, L -gain, Positive system, Roesser model",

author = "Zhaoxia Duan and Yue Sun and Ahn, \{Choon Ki\} and Zhengrong Xiang and Imran Ghous",

note = "Publisher Copyright: {\textcopyright} 2004-2012 IEEE.",

year = "2021",

month = aug,

day = "23",

doi = "10.1109/tcsii.2021.3106744",

language = "English",

volume = "69",

pages = "1317 -- 1321",

journal = "IEEE Transactions on Circuits and Systems II: Express Briefs",

issn = "1549-7747",

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

number = "3",

}

TY - JOUR

T1 - L1-gain control design for positive 2D continuous delayed systems

AU - Duan, Zhaoxia

AU - Sun, Yue

AU - Ahn, Choon Ki

AU - Xiang, Zhengrong

AU - Ghous, Imran

PY - 2021/8/23

Y1 - 2021/8/23

N2 - L1 -gain control design is investigated in the brief for positive two-dimensional (2D) continuous delayed systems in the form of Roesser models. A new approach based on 2D Laplace transformation is presented to analyze L1 -gain stability performance. By using the method of singular value decomposition, linear programming effectively solved the L1 -gain controller design problem. Finally, an example is provided to prove the correctness of the result.

AB - L1 -gain control design is investigated in the brief for positive two-dimensional (2D) continuous delayed systems in the form of Roesser models. A new approach based on 2D Laplace transformation is presented to analyze L1 -gain stability performance. By using the method of singular value decomposition, linear programming effectively solved the L1 -gain controller design problem. Finally, an example is provided to prove the correctness of the result.

KW - Delays

KW - L -gain

KW - Positive system

KW - Roesser model

UR - https://www.scopus.com/pages/publications/85113862710

U2 - 10.1109/tcsii.2021.3106744

DO - 10.1109/tcsii.2021.3106744

M3 - Article

SN - 1549-7747

VL - 69

SP - 1317

EP - 1321

JO - IEEE Transactions on Circuits and Systems II: Express Briefs

JF - IEEE Transactions on Circuits and Systems II: Express Briefs

IS - 3

ER -

L1-gain control design for positive 2D continuous delayed systems

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Handle.net

Other files and links

Fingerprint

Cite this