Filtering of discrete linear repetitive processes with ℋ ∞ and ℓ2-ℓ∞ performance

Wu Ligang; James Lam; Wojciech Paszke; Krzysztof Gałkowski; Eric Rogers; Anton Kummert

doi:10.1109/ISCAS.2007.378807

Filtering of discrete linear repetitive processes with ℋ _∞ and ℓ₂-ℓ_∞ performance

Wu Ligang^*
, James Lam
, Wojciech Paszke
, Krzysztof Gałkowski
, Eric Rogers
, Anton Kummert

^*Corresponding author for this work

School of Astronautics

The University of Hong Kong
University of Zielona Gora
University of Southampton
University of Wuppertal

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

This paper considers the general filtering problem for a distinct class of two-dimensional (2-D) discrete linear systems, i.e. information propagation in two independent directions, known as discrete linear repetitive processes which are of both system-theoretic and applications interest. In particular, new results on the design of filters with guaranteed levels of performance are developed. These take the form of algorithms for the design of an ℋ_∞ and ℓ₂-ℓ_∞ dynamic output feedback filter which guarantees that the resulting filtering error process is stable and has prescribed disturbance attenuation performance as measured by ℋ_∞ and ℓ₂- ℓ_∞ norms.

Original language	English
Title of host publication	2007 IEEE International Symposium on Circuits and Systems, ISCAS 2007
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	593-596
Number of pages	4
ISBN (Print)	1424409209
DOIs	https://doi.org/10.1109/ISCAS.2007.378807
State	Published - 2007
Event	2007 IEEE International Symposium on Circuits and Systems, ISCAS 2007 - New Orleans, LA, United States Duration: 27 May 2007 → 30 May 2007

Publication series

Name	Proceedings - IEEE International Symposium on Circuits and Systems
ISSN (Print)	0271-4310

Conference

Conference	2007 IEEE International Symposium on Circuits and Systems, ISCAS 2007
Country/Territory	United States
City	New Orleans, LA
Period	27/05/07 → 30/05/07

Access to Document

10.1109/ISCAS.2007.378807

Cite this

Ligang, W., Lam, J., Paszke, W., Gałkowski, K., Rogers, E., & Kummert, A. (2007). Filtering of discrete linear repetitive processes with ℋ _∞ and ℓ₂-ℓ_∞ performance. In 2007 IEEE International Symposium on Circuits and Systems, ISCAS 2007 (pp. 593-596). Article 4252704 (Proceedings - IEEE International Symposium on Circuits and Systems). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ISCAS.2007.378807

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title = "Filtering of discrete linear repetitive processes with ℋ ∞ and ℓ2-ℓ∞ performance",

abstract = "This paper considers the general filtering problem for a distinct class of two-dimensional (2-D) discrete linear systems, i.e. information propagation in two independent directions, known as discrete linear repetitive processes which are of both system-theoretic and applications interest. In particular, new results on the design of filters with guaranteed levels of performance are developed. These take the form of algorithms for the design of an ℋ∞ and ℓ2-ℓ∞ dynamic output feedback filter which guarantees that the resulting filtering error process is stable and has prescribed disturbance attenuation performance as measured by ℋ∞ and ℓ2- ℓ∞ norms.",

author = "Wu Ligang and James Lam and Wojciech Paszke and Krzysztof Ga{\l}kowski and Eric Rogers and Anton Kummert",

year = "2007",

doi = "10.1109/ISCAS.2007.378807",

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note = "2007 IEEE International Symposium on Circuits and Systems, ISCAS 2007 ; Conference date: 27-05-2007 Through 30-05-2007",

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Ligang, W, Lam, J, Paszke, W, Gałkowski, K, Rogers, E & Kummert, A 2007, Filtering of discrete linear repetitive processes with ℋ _∞ and ℓ₂-ℓ_∞ performance. in 2007 IEEE International Symposium on Circuits and Systems, ISCAS 2007., 4252704, Proceedings - IEEE International Symposium on Circuits and Systems, Institute of Electrical and Electronics Engineers Inc., pp. 593-596, 2007 IEEE International Symposium on Circuits and Systems, ISCAS 2007, New Orleans, LA, United States, 27/05/07. https://doi.org/10.1109/ISCAS.2007.378807

Filtering of discrete linear repetitive processes with ℋ _∞ and ℓ₂-ℓ_∞ performance. / Ligang, Wu; Lam, James; Paszke, Wojciech et al.
2007 IEEE International Symposium on Circuits and Systems, ISCAS 2007. Institute of Electrical and Electronics Engineers Inc., 2007. p. 593-596 4252704 (Proceedings - IEEE International Symposium on Circuits and Systems).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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AU - Rogers, Eric

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AB - This paper considers the general filtering problem for a distinct class of two-dimensional (2-D) discrete linear systems, i.e. information propagation in two independent directions, known as discrete linear repetitive processes which are of both system-theoretic and applications interest. In particular, new results on the design of filters with guaranteed levels of performance are developed. These take the form of algorithms for the design of an ℋ∞ and ℓ2-ℓ∞ dynamic output feedback filter which guarantees that the resulting filtering error process is stable and has prescribed disturbance attenuation performance as measured by ℋ∞ and ℓ2- ℓ∞ norms.

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Ligang W, Lam J, Paszke W, Gałkowski K, Rogers E, Kummert A. Filtering of discrete linear repetitive processes with ℋ _∞ and ℓ₂-ℓ_∞ performance. In 2007 IEEE International Symposium on Circuits and Systems, ISCAS 2007. Institute of Electrical and Electronics Engineers Inc. 2007. p. 593-596. 4252704. (Proceedings - IEEE International Symposium on Circuits and Systems). doi: 10.1109/ISCAS.2007.378807