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Asynchronous filtering for 2-D switched systems with missing measurements

Authors
  • Shi, Shuang1
  • Ma, Yujunrong1
  • Ren, Shunqing2
  • 1 Harbin Institute of Technology, Research Institute of Intelligent Control and Systems, Harbin, 150000, China , Harbin (China)
  • 2 Harbin Institute of Technology, Space Control and Inertial Technology Research Center, Harbin, 150000, China , Harbin (China)
Type
Published Article
Journal
Multidimensional Systems and Signal Processing
Publisher
Springer US
Publication Date
Mar 29, 2018
Volume
30
Issue
2
Pages
543–560
Identifiers
DOI: 10.1007/s11045-018-0569-1
Source
Springer Nature
Keywords
License
Yellow

Abstract

This work is concerned with H∞\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathscr {H}_{\infty }$$\end{document} filter design with missing measurements for a class of two-dimensional (2-D) switched systems represented by Fornasini–Marchesini local state-space model. The switching signal of the switched filters involve time delays, which result in the asynchronism between the filter and the system switching. The issues of asymptotic mean-square stability and ℓ2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\ell _{2}$$\end{document}-gain analysis for the 2-D switched systems are addressed firstly, based on which mode-dependent filters are designed with mode-dependent average dwell time scheme. Finally, two examples are given to demonstrate the validity of the proposed technique.

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