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

Research output: Contribution to journalArticle

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 languageEnglish
JournalMathematical Methods in the Applied Sciences
Early online date24 Jan 2018
DOIs
Publication statusPublished - 24 Jan 2018

Fingerprint

Dynamic Output Feedback
Stability Region
Stabilization
Feedback
Finite-time Stability
2-D Systems
Transient Behavior
Two-dimensional Systems
State Feedback
Closed-loop System
Matrix Inequality
Observer
Linear Inequalities
Linear matrix inequalities
State feedback
Closed loop systems
Model
Controller
Sufficient Conditions
Experimental Results

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

Cite this

Hua, D., Wang, W., Yu, W., & Wang, Y. (2018). Finite-region stabilization via dynamic output feedback for 2-D Roesser models. Mathematical Methods in the Applied Sciences. https://doi.org/10.1002/mma.4740
Hua, Dingli ; Wang, Weiqun ; Yu, Weiren ; Wang, Yixiang. / Finite-region stabilization via dynamic output feedback for 2-D Roesser models. In: Mathematical Methods in the Applied Sciences. 2018.
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Hua, D, Wang, W, Yu, W & Wang, Y 2018, 'Finite-region stabilization via dynamic output feedback for 2-D Roesser models', Mathematical Methods in the Applied Sciences. https://doi.org/10.1002/mma.4740

Finite-region stabilization via dynamic output feedback for 2-D Roesser models. / Hua, Dingli; Wang, Weiqun; Yu, Weiren; Wang, Yixiang.

In: Mathematical Methods in the Applied Sciences, 24.01.2018.

Research output: Contribution to journalArticle

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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)

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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.

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Hua D, Wang W, Yu W, Wang Y. Finite-region stabilization via dynamic output feedback for 2-D Roesser models. Mathematical Methods in the Applied Sciences. 2018 Jan 24. https://doi.org/10.1002/mma.4740