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

Corresponding Author

Choon Ki Ahn

School of Electrical Engineering, Korea University, 145, Anam-ro, Seongbuk-gu, Seoul, 136-701 Korea

Correspondence to: Choon Ki Ahn, School of Electrical Engineering, Korea University, 145, Anam-ro, Seongbuk-gu, Seoul, 136-701, Korea.

E-mail: [email protected]

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Choon Ki Ahn,

Corresponding Author

Choon Ki Ahn

School of Electrical Engineering, Korea University, 145, Anam-ro, Seongbuk-gu, Seoul, 136-701 Korea

Correspondence to: Choon Ki Ahn, School of Electrical Engineering, Korea University, 145, Anam-ro, Seongbuk-gu, Seoul, 136-701, Korea.

E-mail: [email protected]

Search for more papers by this author

First published: 03 April 2013

https://doi.org/10.1002/mma.2763

Citations: 6

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Abstract

In this paper, we propose a new linear matrix inequality criterion for suppression of limit cycles in state–space direct form digital filters with saturation arithmetic and external interference via a passivity approach. The passive approach is employed to reduce the effect of external interference on the digital filter. The criterion guarantees not only asymptotic stability but also passivity from the external interference to the output vector. This criterion is in the form of linear matrix inequality; hence, it is computationally tractable. An example shows the effectiveness of the proposed criterion. Copyright © 2013 John Wiley & Sons, Ltd.

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Volume36, Issue18

December 2013

Pages 2449-2455

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

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

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