Strict dissipativity and asymptotic stability of digital filters in direct form with saturation nonlinearity
- Authors
- Ahn, Choon Ki; Shi, Peng
- Issue Date
- 7월-2016
- Publisher
- SPRINGER
- Keywords
- Dissipativity; Digital filter; Direct form; Interconnection; Stability
- Citation
- NONLINEAR DYNAMICS, v.85, no.1, pp.453 - 461
- Indexed
- SCIE
SCOPUS
- Journal Title
- NONLINEAR DYNAMICS
- Volume
- 85
- Number
- 1
- Start Page
- 453
- End Page
- 461
- URI
- https://scholar.korea.ac.kr/handle/2021.sw.korea/88260
- DOI
- 10.1007/s11071-016-2698-0
- ISSN
- 0924-090X
- Abstract
- In this paper, we investigate the strict dissipativity and asymptotic stability of digital filters in the direct form with saturation nonlinearity. First, a novel criterion is presented for the (Q, S, R)--dissipativity of single digital filters in the direct form. By selecting the weighting scalar parameters, this condition reduces to the conditions for , passivity, and mixed /passivity performances. Based on this result, a new sufficient criterion is proposed for the (Q, S, R)--dissipativity of interconnected digital filters in the direct form. A condition for the asymptotic stability of interconnected direct-form digital filters is also presented, and three numerical examples are included to show the effectiveness of the developed theoretical results.
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