Two-dimensional dissipative control and filtering for roesser model

Choon Ki Ahn; Peng Shi; Michael V. Basin

doi:10.1109/TAC.2015.2398887

Two-dimensional dissipative control and filtering for roesser model

Choon Ki Ahn, Peng Shi, Michael V. Basin

Research output: Contribution to journal › Article › peer-review

292 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 language	English
Article number	7029016
Pages (from-to)	1745-1759
Number of pages	15
Journal	IEEE Transactions on Automatic Control
Volume	60
Issue number	7
DOIs	https://doi.org/10.1109/TAC.2015.2398887
Publication status	Published - 2015 Jul 1

Keywords

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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10.1109/TAC.2015.2398887

Cite this

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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.",

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Two-dimensional dissipative control and filtering for roesser model

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Keywords

ASJC Scopus subject areas

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