Strictly passive suppression of limit cycles in direct form digital filters with saturation nonlinearity: linear matrix inequality approach

DOI10.1002/MMA.2763zbMath1278.15022OpenAlexW2002215524MaRDI QIDQ2868875

Choon Ki Ahn

Publication date: 19 December 2013

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.2763

zbMATH Keywords

digital filterspassivityasymptotic stabilitylinear matrix inequality (LMI)finite wordlength effect

Mathematics Subject Classification ID

Filtering in stochastic control theory (93E11) Linear inequalities of matrices (15A39) Digital control/observation systems (93C62) Miscellaneous inequalities involving matrices (15A45)

Uses Software

• LMI toolbox

Cites Work

• Passivity and absolute stabilization of a class of discrete-time nonlinear systems
• Stability analysis of a class of digital filters utilizing single saturation nonlinearity
• Elimination of overflow oscillations in direct form digital filters using saturation arithmetic
• Dissipative dynamical systems. I: General theory
• Digital filter realizations without overflow oscillations
• The zero-input response of digital filters using saturation arithmetic
• Passivity, feedback equivalence, and the global stabilization of minimum phase nonlinear systems
• Linear Matrix Inequalities in System and Control Theory

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