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H/sub /spl infin// control of differential linear repetitive processes

H/sub /spl infin// control of differential linear repetitive processes
H/sub /spl infin// control of differential linear repetitive processes
Abstract—Repetitive processes are a distinct class of two-dimensional (2-D) systems (i.e., information propagation in two independent directions) of both systems theoretic and applications interest. They cannot be controlled by direct extension of existing techniques from either standard [termed one-dimensional (1-D) here] or 2-D systems theory. Here, we give new results on the relatively open problem of the design of control laws using an $H_{\infty}$ setting. These results are for the sub-class of so-called differential linear repetitive processes which arise in applications.
differential repetitive processes, linear matrix inequalities
1549-7747
39-44
Paszke, W.
dd4b8f12-17c7-45ee-bfb0-e9675bd7d854
Galkowski, K.
40c02cf5-8fcb-44de-bb1e-f9f70fdd265d
Rogers, Eric
611b1de0-c505-472e-a03f-c5294c63bb72
Owens, D.H.
db24b8ef-282b-47c0-9cd2-75e91d312ad7
Paszke, W.
dd4b8f12-17c7-45ee-bfb0-e9675bd7d854
Galkowski, K.
40c02cf5-8fcb-44de-bb1e-f9f70fdd265d
Rogers, Eric
611b1de0-c505-472e-a03f-c5294c63bb72
Owens, D.H.
db24b8ef-282b-47c0-9cd2-75e91d312ad7

Paszke, W., Galkowski, K., Rogers, Eric and Owens, D.H. (2006) H/sub /spl infin// control of differential linear repetitive processes. IEEE Transactions on Circuits and Systems II: Express Briefs, 53 (1), 39-44. (doi:10.1109/TCSII.2005.854313).

Record type: Article

Abstract

Abstract—Repetitive processes are a distinct class of two-dimensional (2-D) systems (i.e., information propagation in two independent directions) of both systems theoretic and applications interest. They cannot be controlled by direct extension of existing techniques from either standard [termed one-dimensional (1-D) here] or 2-D systems theory. Here, we give new results on the relatively open problem of the design of control laws using an $H_{\infty}$ setting. These results are for the sub-class of so-called differential linear repetitive processes which arise in applications.

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Published date: January 2006
Keywords: differential repetitive processes, linear matrix inequalities
Organisations: Southampton Wireless Group

Identifiers

Local EPrints ID: 264350
URI: http://eprints.soton.ac.uk/id/eprint/264350
ISSN: 1549-7747
PURE UUID: 14594d8e-db89-47dc-9516-cc2925973de9
ORCID for Eric Rogers: ORCID iD orcid.org/0000-0003-0179-9398

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Date deposited: 27 Jul 2007
Last modified: 15 Mar 2024 02:42

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Contributors

Author: W. Paszke
Author: K. Galkowski
Author: Eric Rogers ORCID iD
Author: D.H. Owens

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