Two-dimensional dissipative control and filtering for roesser model

Choon Ki Ahn, Peng Shi, Michael V. Basin

Research output: Contribution to journalArticle

209 Citations (Scopus)

Abstract

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
Volume60
Issue number7
DOIs
Publication statusPublished - 2015 Jul 1

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Linear matrix inequalities
State feedback
Feedback control
Large scale systems
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Keywords

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

ASJC Scopus subject areas

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

Cite this

Two-dimensional dissipative control and filtering for roesser model. / Ahn, Choon Ki; Shi, Peng; Basin, Michael V.

In: IEEE Transactions on Automatic Control, Vol. 60, No. 7, 7029016, 01.07.2015, p. 1745-1759.

Research output: Contribution to journalArticle

Ahn, Choon Ki ; Shi, Peng ; Basin, Michael V. / Two-dimensional dissipative control and filtering for roesser model. In: IEEE Transactions on Automatic Control. 2015 ; Vol. 60, No. 7. pp. 1745-1759.
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