Finite-region stabilization via dynamic output feedback for 2-D Roesser models

Dingli Hua; Weiqun Wang; Weiren Yu; Yixiang Wang

doi:10.1002/mma.4740

Finite-region stabilization via dynamic output feedback for 2-D Roesser models

Dingli Hua, Weiqun Wang^*, Weiren Yu, Yixiang Wang

^*Corresponding author for this work

College of Engineering and Physical Sciences

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

Abstract

Finite-region stability (FRS), a generalization of finite-time stability, has been used to analyze the transient behavior of discrete two-dimensional (2-D) systems. In this paper, we consider the problem of FRS for discrete 2-D Roesser models via dynamic output feedback. First, a sufficient condition is given to design the dynamic output feedback controller with a state feedback-observer structure, which ensures the closed-loop system FRS. Then, this condition is reducible to a condition that is solvable by linear matrix inequalities. Finally, viable experimental results are demonstrated by an illustrative example.

Original language	English
Pages (from-to)	2140-2151
Journal	Mathematical Methods in the Applied Sciences
Volume	41
Issue number	5
Early online date	24 Jan 2018
DOIs	https://doi.org/10.1002/mma.4740
Publication status	Published - 30 Mar 2018

Bibliographical note

Copyright © 2018 by John Wiley & Sons. This is the peer reviewed version of the following article: Finite-region stabilization via dynamic output feedback for 2-D Roesser models
Hua, D., Wang, W., Yu, W. & Wang, Y. 24 Jan 2018 In : Mathematical Methods in the Applied Sciences., which has been published in final form at http://doi.org/10.1002/mma.4740. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Self-Archiving.

Funding: National Natural Science Foundation of China (Grant no.61573007)

Keywords

Discrete 2-D Roesser models
Dynamic output feedback
Finite-region stability
Observer

Access to Document

10.1002/mma.4740

Finite-Region Stabilization via Dynamic Output
Copyright © 2018 by John Wiley & Sons. This is the peer reviewed version of the following article: Finite-region stabilization via dynamic output feedback for 2-D Roesser models Hua, D., Wang, W., Yu, W. & Wang, Y. 24 Jan 2018 In : Mathematical Methods in the Applied Sciences., which has been published in final form at http://doi.org/10.1002/mma.4740. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Self-Archiving.
Accepted author manuscript, 135 KB

Cite this

@article{8be235fb75aa4fe8a18df71692f8ec78,

title = "Finite-region stabilization via dynamic output feedback for 2-D Roesser models",

abstract = "Finite-region stability (FRS), a generalization of finite-time stability, has been used to analyze the transient behavior of discrete two-dimensional (2-D) systems. In this paper, we consider the problem of FRS for discrete 2-D Roesser models via dynamic output feedback. First, a sufficient condition is given to design the dynamic output feedback controller with a state feedback-observer structure, which ensures the closed-loop system FRS. Then, this condition is reducible to a condition that is solvable by linear matrix inequalities. Finally, viable experimental results are demonstrated by an illustrative example.",

keywords = "Discrete 2-D Roesser models, Dynamic output feedback, Finite-region stability, Observer",

author = "Dingli Hua and Weiqun Wang and Weiren Yu and Yixiang Wang",

note = "Copyright {\textcopyright} 2018 by John Wiley & Sons. This is the peer reviewed version of the following article: Finite-region stabilization via dynamic output feedback for 2-D Roesser models Hua, D., Wang, W., Yu, W. & Wang, Y. 24 Jan 2018 In : Mathematical Methods in the Applied Sciences., which has been published in final form at http://doi.org/10.1002/mma.4740. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Self-Archiving. Funding: National Natural Science Foundation of China (Grant no.61573007)",

year = "2018",

month = mar,

day = "30",

doi = "10.1002/mma.4740",

language = "English",

volume = "41",

pages = "2140--2151",

journal = "Mathematical Methods in the Applied Sciences",

issn = "0170-4214",

publisher = "Wiley",

number = "5",

}

TY - JOUR

T1 - Finite-region stabilization via dynamic output feedback for 2-D Roesser models

AU - Hua, Dingli

AU - Wang, Weiqun

AU - Yu, Weiren

AU - Wang, Yixiang

N1 - Copyright © 2018 by John Wiley & Sons. This is the peer reviewed version of the following article: Finite-region stabilization via dynamic output feedback for 2-D Roesser models Hua, D., Wang, W., Yu, W. & Wang, Y. 24 Jan 2018 In : Mathematical Methods in the Applied Sciences., which has been published in final form at http://doi.org/10.1002/mma.4740. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Self-Archiving. Funding: National Natural Science Foundation of China (Grant no.61573007)

PY - 2018/3/30

Y1 - 2018/3/30

N2 - Finite-region stability (FRS), a generalization of finite-time stability, has been used to analyze the transient behavior of discrete two-dimensional (2-D) systems. In this paper, we consider the problem of FRS for discrete 2-D Roesser models via dynamic output feedback. First, a sufficient condition is given to design the dynamic output feedback controller with a state feedback-observer structure, which ensures the closed-loop system FRS. Then, this condition is reducible to a condition that is solvable by linear matrix inequalities. Finally, viable experimental results are demonstrated by an illustrative example.

AB - Finite-region stability (FRS), a generalization of finite-time stability, has been used to analyze the transient behavior of discrete two-dimensional (2-D) systems. In this paper, we consider the problem of FRS for discrete 2-D Roesser models via dynamic output feedback. First, a sufficient condition is given to design the dynamic output feedback controller with a state feedback-observer structure, which ensures the closed-loop system FRS. Then, this condition is reducible to a condition that is solvable by linear matrix inequalities. Finally, viable experimental results are demonstrated by an illustrative example.

KW - Discrete 2-D Roesser models

KW - Dynamic output feedback

KW - Finite-region stability

KW - Observer

UR - http://www.scopus.com/inward/record.url?scp=85040864503&partnerID=8YFLogxK

UR - https://onlinelibrary.wiley.com/doi/full/10.1002/mma.4740

U2 - 10.1002/mma.4740

DO - 10.1002/mma.4740

M3 - Article

AN - SCOPUS:85040864503

SN - 0170-4214

VL - 41

SP - 2140

EP - 2151

JO - Mathematical Methods in the Applied Sciences

JF - Mathematical Methods in the Applied Sciences

IS - 5

ER -

Finite-region stabilization via dynamic output feedback for 2-D Roesser models

Abstract

Bibliographical note

Keywords

Access to Document

Other files and links

Fingerprint

Cite this