Passivity and Finite-Gain Performance for Two-Dimensional Digital Filters: The FM LSS Model Case
- Authors
- Ahn, Choon Ki; Kar, Haranath
- Issue Date
- 9월-2015
- Publisher
- IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
- Keywords
- Fornasini-Marchesini local state-space (FMLSS) model; linear matrix inequality (LMI); passivity; two-dimensional (2-D) digital filter
- Citation
- IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, v.62, no.9, pp.871 - 875
- Indexed
- SCIE
SCOPUS
- Journal Title
- IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS
- Volume
- 62
- Number
- 9
- Start Page
- 871
- End Page
- 875
- URI
- https://scholar.korea.ac.kr/handle/2021.sw.korea/92623
- DOI
- 10.1109/TCSII.2015.2435261
- ISSN
- 1549-7747
- Abstract
- This brief considers the two-dimensional (2-D) passivity performance analysis problem of 2-D digital filters in the Fornasini-Marchesini local state-space (FM LSS) form. The purpose is to establish a new criterion in terms of linear matrix inequality such that the 2-D digital filters in the FM LSS form ensure 2-D passivity performance with a storage function. Moreover, this brief reveals that the 2-D digital filters exhibit the 2-D finite-gain performance under the proposed criterion. Without interference, the criterion guarantees the asymptotic stability of 2-D digital filters. An application example to a 2-D low-pass filter is given to demonstrate the usefulness of the presented passivity criterion. The criteria in this brief and in a previous work of one of the authors, as a whole, give methodical results for the 2-D passive removal of the overflow oscillation of 2-D digital filters with external inferences.
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