Two-Dimensional Dissipative Control and Filtering for Roesser Model

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...

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Bibliographic Details
Published in:IEEE transactions on automatic control 2015-07, Vol.60 (7), p.1745-1759
Main Authors: Ahn, Choon Ki, Shi, Peng, Basin, Michael V.
Format: Article
Language:English
Subjects:
control and filtering
Dissipativity
Educational institutions
Integrated circuits
Interconnected systems
Linear matrix inequalities
Stability analysis
Symmetric matrices
Two dimensional displays
two-dimensional (2-D) system
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Summary: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.
ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.2015.2398887