Filtering and Control for Classes of Two-Dimensional Systems

  • Ligang Wu
  • Zidong Wang

Part of the Studies in Systems, Decision and Control book series (SSDC, volume 18)

Table of contents

  1. Front Matter
    Pages i-xvi
  2. Ligang Wu, Zidong Wang
    Pages 1-29
  3. General Theory of Some Classes of 2-D Systems

    1. Front Matter
      Pages 31-31
    2. Ligang Wu, Zidong Wang
      Pages 33-55
    3. Ligang Wu, Zidong Wang
      Pages 121-138
    4. Ligang Wu, Zidong Wang
      Pages 139-167
  4. A Special Class of 2-D Systems: Linear Repetitive Processes

    1. Front Matter
      Pages 169-169
    2. Ligang Wu, Zidong Wang
      Pages 171-195
    3. Ligang Wu, Zidong Wang
      Pages 217-233
    4. Ligang Wu, Zidong Wang
      Pages 283-322
    5. Ligang Wu, Zidong Wang
      Pages 323-326
  5. Back Matter
    Pages 327-336

About this book


This book focuses on filtering, control and model-reduction problems for two-dimensional (2-D) systems with imperfect information. The time-delayed 2-D systems covered have system parameters subject to uncertain, stochastic and parameter-varying changes.

After an initial introduction of 2-D systems and the ideas of linear repetitive processes, the text is divided into two parts detailing:

·         general theory and methods of analysis and optimal synthesis for 2-D systems; and

·         application of the general theory to the particular case of differential/discrete linear repetitive processes.

The methods developed provide a framework for stability and performance analysis, optimal and robust controller and filter design and model approximation for the systems considered. Solutions to the design problems are couched in terms of linear matrix inequalities.

For readers interested in the state of the art in linear filtering, control and model reduction, Filtering and Control for Classes of Two-Dimensional Systems will be a useful reference for exploring the field of 2-D systems either from a purely theoretical research perspective or from the point of view of a multitude of potential applications including image processing, and the study of seismographic data or thermal processes.


2-d Systems Linear Repetitive Processes Optimal Control Optimal Filtering Optimal Model Reduction Two-dimensional Systems

Authors and affiliations

  • Ligang Wu
    • 1
  • Zidong Wang
    • 2
  1. 1.Space Control and Inertial Technology Research CenterHarbin Institute of TechnologyHarbinChina
  2. 2.Department of Computer ScienceBrunel UniversityUxbridgeUnited Kingdom

Bibliographic information

  • DOI
  • Copyright Information Springer International Publishing Switzerland 2015
  • Publisher Name Springer, Cham
  • eBook Packages Engineering Engineering (R0)
  • Print ISBN 978-3-319-13697-4
  • Online ISBN 978-3-319-13698-1
  • Series Print ISSN 2198-4182
  • Series Online ISSN 2198-4190
  • Buy this book on publisher's site
Industry Sectors
Chemical Manufacturing
IT & Software
Materials & Steel
Oil, Gas & Geosciences