l(infinity)-gain performance analysis for two-dimensional Roesser systems with persistent bounded disturbance and saturation nonlinearity
- Authors
- Ahn, Choon Ki; Shi, Peng; Wu, Ligang
- Issue Date
- 10-3월-2016
- Publisher
- ELSEVIER SCIENCE INC
- Keywords
- Two-dimensional (2-D) system; l(infinity)-gain performance; Roesser model; Time-varying delays; Robustness
- Citation
- INFORMATION SCIENCES, v.333, pp.126 - 139
- Indexed
- SCIE
SCOPUS
- Journal Title
- INFORMATION SCIENCES
- Volume
- 333
- Start Page
- 126
- End Page
- 139
- URI
- https://scholar.korea.ac.kr/handle/2021.sw.korea/89223
- DOI
- 10.1016/j.ins.2015.11.023
- ISSN
- 0020-0255
- Abstract
- The l(infinity)-gain approach has been an essential tool in one-dimensional system theory. However, limited results have been presented in the literature for the two-dimensional (2-D) l(infinity)-gain approach. This paper investigates the l(infinity)-gain performance for 2-D systems in the Roesser model with persistent bounded disturbance input and saturation nonlinearity. A linear matrix inequality (LMI)-based condition is established to reduce the effect of persistent bounded disturbance input on 2-D systems within a given disturbance attenuation level based on the discrete Jensen inequality, lower bounds lemma, and diagonally dominant matrices. We apply the obtained results to the l(infinity)-gain performance analysis for 2-D digital filters with saturation arithmetic. (C) 2015 Elsevier Inc. All rights reserved.
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