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
Pages (from-to)2140-2151
JournalMathematical Methods in the Applied Sciences
Volume41
Issue number5
Early online date24 Jan 2018
DOIs
Publication statusPublished - 30 Mar 2018

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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, 41(5), 2140-2151. 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 ; Vol. 41, No. 5. pp. 2140-2151.
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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, vol. 41, no. 5, pp. 2140-2151. 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, Vol. 41, No. 5, 30.03.2018, p. 2140-2151.

Research output: Contribution to journalArticle

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AU - Wang, Weiqun

AU - Yu, Weiren

AU - Wang, Yixiang

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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 Mar 30;41(5):2140-2151. https://doi.org/10.1002/mma.4740