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Type: Journal article
Title: Two-dimensional dissipative control and filtering for Roesser model
Author: Ahn, C.K.
Shi, P.
Basin, M.V.
Citation: IEEE Transactions on Automatic Control, 2015; 60(7):1745-1759
Publisher: IEEE
Issue Date: 2015
ISSN: 0018-9286
Statement of
Choon Ki Ahn, Peng Shi, and Michael V. Basin
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.
Rights: © 2015 IEEE. Personal use is permitted, but republication/redistribution requires IEEE permission.
RMID: 0030032009
DOI: 10.1109/TAC.2015.2398887
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Appears in Collections:Electrical and Electronic Engineering publications

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