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- Title
New passivity criterion for limit cycle oscillation removal of interfered 2D digital filters in the Roesser form with saturation nonlinearity.
- Authors
Ahn, Choon
- Abstract
The passivity concept plays an important role in circuit theory, signal processing, and control, but no criteria have yet been established for two-dimensional (2D) digital filters. In this article, we propose a new and first criterion for 2D digital filters in the Roesser form, to ensure passivity from the interference vector to the output vector with a certain storage function. The proposed criterion also guarantees the asymptotic stability of 2D digital filters in the Roesser form without interference. This criterion is described by linear matrix inequality, making it computationally attractive. A simulation example is presented, which demonstrates the usefulness of the 2D passivity criterion.
- Subjects
PASSIVITY (Engineering); TWO-dimensional digital filters; CRITERION (Theory of knowledge); LINEAR matrix inequalities; NONLINEAR systems
- Publication
Nonlinear Dynamics, 2014, Vol 78, Issue 1, p409
- ISSN
0924-090X
- Publication type
Article
- DOI
10.1007/s11071-014-1448-4