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H2/H∞ output information-based disturbance attenuation for differential linear repetitive processes

H2/H∞ output information-based disturbance attenuation for differential linear repetitive processes
H2/H∞ output information-based disturbance attenuation for differential linear repetitive processes
Repetitive processes propagate information in two independent directions where the duration of one is finite. They pose control problems that cannot be solved by application of results for other classes of 2D systems. This paper develops controller design algorithms for differential linear processes, where information in one direction is governed by a matrix differential equation and in the other by a matrix discrete equation, in an H2/H∞ setting. The objectives are stabilization and disturbance attenuation, and the controller used is actuated by the process output and hence the use of a state observer is avoided.
linear repetitive processes, disturbance attenuation, mixed ?2/?? control
1049-8923
1981-1993
Paszke, Wojtek
a52c3c7e-c2fe-4496-bfae-047fd162cab2
Rogers, Eric
611b1de0-c505-472e-a03f-c5294c63bb72
Galkowski, Krzysztof
322994ac-7e24-4350-ab72-cc80ac8078ef
Paszke, Wojtek
a52c3c7e-c2fe-4496-bfae-047fd162cab2
Rogers, Eric
611b1de0-c505-472e-a03f-c5294c63bb72
Galkowski, Krzysztof
322994ac-7e24-4350-ab72-cc80ac8078ef

Paszke, Wojtek, Rogers, Eric and Galkowski, Krzysztof (2011) H2/H∞ output information-based disturbance attenuation for differential linear repetitive processes. International Journal of Robust and Nonlinear Control, 21 (17), 1981-1993. (doi:10.1002/rnc.1672).

Record type: Article

Abstract

Repetitive processes propagate information in two independent directions where the duration of one is finite. They pose control problems that cannot be solved by application of results for other classes of 2D systems. This paper develops controller design algorithms for differential linear processes, where information in one direction is governed by a matrix differential equation and in the other by a matrix discrete equation, in an H2/H∞ setting. The objectives are stabilization and disturbance attenuation, and the controller used is actuated by the process output and hence the use of a state observer is avoided.

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e-pub ahead of print date: 20 December 2010
Published date: 25 November 2011
Keywords: linear repetitive processes, disturbance attenuation, mixed ?2/?? control
Organisations: Southampton Wireless Group

Identifiers

Local EPrints ID: 271839
URI: http://eprints.soton.ac.uk/id/eprint/271839
ISSN: 1049-8923
PURE UUID: b8a26a17-94b6-4547-b97b-9a06f761531c
ORCID for Eric Rogers: ORCID iD orcid.org/0000-0003-0179-9398

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Date deposited: 23 Dec 2010 11:53
Last modified: 20 Jul 2019 01:23

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