Two-dimensional dissipative control and filtering for roesser model

Choon Ki Ahn, Peng Shi, Michael V. Basin

Research output: Contribution to journalArticlepeer-review

307 Citations (Scopus)


This paper investigates the problems of two-dimensional (2-D) dissipative control and filtering for a linear discrete-time Roesser model. First, a novel sufficient condition is proposed such that the discrete-time Roesser system is asymptotically stable and 2-D (Q,S,R)α-dissipative. Special cases, such as 2-D passivity performance and 2-D H ∞ performance, and feedback interconnected systems are also discussed. Based on this condition, new 2-D (Q,S,R)α-dissipative state-feedback and output-feedback control problems are defined and solved for a discrete-time Roesser model. The design problems of 2-D (Q,S,R)α-dissipative filters of observer form and general form are also considered using a linear matrix inequality (LMI) approach. Two examples are given to illustrate the effectiveness and potential of the proposed design techniques.

Original languageEnglish
Article number7029016
Pages (from-to)1745-1759
Number of pages15
JournalIEEE Transactions on Automatic Control
Issue number7
Publication statusPublished - 2015 Jul 1

Bibliographical note

Publisher Copyright:
© 1963-2012 IEEE.


  • Dissipativity
  • control and filtering
  • two-dimensional (2-D) system,

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Computer Science Applications
  • Electrical and Electronic Engineering


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