Condition of the elimination of overflow oscillations in two-dimensional digital filters with external interference

Hao Shen; Jing Wang; Ju H. Park; Zheng-Guang Wu

Condition of the elimination of overflow oscillations in two-dimensional digital filters with external interference

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Author(s): Hao Shen ^{1, 2} ; Jing Wang ¹ ; Ju H. Park ² ; Zheng-Guang Wu ³
- Affiliations: 1: School of Electrical and Information Engineering, Anhui University of Technology, Ma'anshan 243002, People's Republic of China;
  2: Department of Electrical Engineering, Yeungnam University, 214-1 Dae-Dong, Kyongsan 712-749, Republic of Korea;
  3: National Laboratory of Industrial Control Technology, Institute of Cyber-Systems and Control, Zhejiang University, Hangzhou, Zhejiang 310027, People's Republic of China
Source: Volume 8, Issue 8, October 2014, p. 885 – 890
DOI: 10.1049/iet-spr.2013.0495 , Print ISSN 1751-9675, Online ISSN 1751-9683

Received 19/12/2013, Accepted 15/05/2014, Revised 22/04/2014, Published 28/10/2014

This study is concerned with the problem of the elimination of overflow oscillations (EOOs) for two-dimensional (2D) digital filters with external interference. The main purpose is the presentation of a new unified criterion such that the underlying 2D digital filter is stable with a positive prescribed interference attenuation level. A performance index is proposed for the first time, which is referred to as generalised dissipativity property. By using this index and two harmonic slack matrices, a novel criterion is established, which can be used to solve ℋ_∞ EOOs, passive EOOs and l ₂–l _∞ EOOs for 2D digital filters with external interference in a unified framework, and reduce the conservatism of the existing results. The effectiveness of the criterion is demonstrated by a numerical example.

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Condition of the elimination of overflow oscillations in two-dimensional digital filters with external interference

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