Two-Dimensional Dissipative Control and Filtering for Roesser Model
- Authors
- Ahn, Choon Ki; Shi, Peng; Basin, Michael V.
- Issue Date
- 7월-2015
- Publisher
- IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
- Keywords
- Control and filtering; dissipativity; Roesser model; two-dimensional (2-D) system
- Citation
- IEEE TRANSACTIONS ON AUTOMATIC CONTROL, v.60, no.7, pp.1745 - 1759
- Indexed
- SCIE
SCOPUS
- Journal Title
- IEEE TRANSACTIONS ON AUTOMATIC CONTROL
- Volume
- 60
- Number
- 7
- Start Page
- 1745
- End Page
- 1759
- URI
- https://scholar.korea.ac.kr/handle/2021.sw.korea/93108
- DOI
- 10.1109/TAC.2015.2398887
- ISSN
- 0018-9286
- 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)-alpha-dissipative. Special cases, such as 2-D passivity performance and 2-D H-infinity performance, and feedback interconnected systems are also discussed. Based on this condition, new 2-D (Q, S, R)-alpha-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)-alpha-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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