Finite-region boundedness and stabilization for 2D continuous-discrete systems in Roesser model-Reference-Cited by-同舟云学术

Finite-region boundedness and stabilization for 2D continuous-discrete systems in Roesser model

Published:2018-05-19 Issue:3 Volume:36 Page:1033-1057
ISSN:0265-0754
Container-title:IMA Journal of Mathematical Control and Information
language:en
Short-container-title:

Author:

Hua Dingli¹,Wang Weiqun¹,Yu Weiren²,Wang Yixiang³

Affiliation:

1. School of Science, Nanjing University of Science and Technology, Nanjing, Jiangsu, China

2. School of Engineering & Applied Science, Aston University, London, UK

3. School of Mechanical Engineering, Nanjing University of Science and Technology, Nanjing, Jiangsu, China

Abstract

Abstract This paper investigates the finite-region boundedness (FRB) and stabilization problems for two-dimensional continuous-discrete linear Roesser models subject to two kinds of disturbances. For two-dimensional continuous-discrete system, we first put forward the concepts of finite-region stability and FRB. Then, by establishing special recursive formulas, sufficient conditions of FRB for two-dimensional continuous-discrete systems with two kinds of disturbances are formulated. Furthermore, we analyze the finite-region stabilization issues for the corresponding two-dimensional continuous-discrete systems and give generic sufficient conditions and sufficient conditions that can be verified by linear matrix inequalities for designing the state feedback controllers which ensure the closed-loop systems FRB. Finally, viable experimental results are demonstrated by illustrative examples.

Funder

National Natural Science Foundation of China

Publisher

Oxford University Press (OUP)

Subject

Applied Mathematics,Control and Optimization,Control and Systems Engineering

Link

http://academic.oup.com/imamci/article-pdf/36/3/1033/30002516/dny017.pdf

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