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H2 and mixed H2/H Stabilization and Disturbance Attenuation for Differential Linear Repetitive Processes

H2 and mixed H2/H Stabilization and Disturbance Attenuation for Differential Linear Repetitive Processes
H2 and mixed H2/H Stabilization and Disturbance Attenuation for Differential Linear Repetitive Processes
Repetitive processes are a distinct class of two-dimensional systems (i.e., information propagation in two independent directions) of both systems theoretic and applications interest. A systems theory for them cannot be obtained by direct extension of existing techniques from standard (termed 1-D here) or, in many cases, two-dimensional (2-D) systems theory. Here, we give new results towards the development of such a theory in H2 and mixed H2/H settings. These results are for the sub-class of so-called differential linear repetitive processes and focus on the fundamental problems of stabilization and disturbance attenuation.
calH2 and mixed calH2/calH ? control, differential linear repetitive processes, H 2 and mixed H 2/H 1 control, linear matrix inequalities
1549-8328
2813-2826
Paszke, W.
dd4b8f12-17c7-45ee-bfb0-e9675bd7d854
Galkowski, K.
40c02cf5-8fcb-44de-bb1e-f9f70fdd265d
Rogers, E.
611b1de0-c505-472e-a03f-c5294c63bb72
Lam, J.
3b1c882d-baa3-47c7-abe8-b736af96ba13
Paszke, W.
dd4b8f12-17c7-45ee-bfb0-e9675bd7d854
Galkowski, K.
40c02cf5-8fcb-44de-bb1e-f9f70fdd265d
Rogers, E.
611b1de0-c505-472e-a03f-c5294c63bb72
Lam, J.
3b1c882d-baa3-47c7-abe8-b736af96ba13

Paszke, W., Galkowski, K., Rogers, E. and Lam, J. (2008) H2 and mixed H2/H Stabilization and Disturbance Attenuation for Differential Linear Repetitive Processes. IEEE Transactions on Circuits and Systems I: Regular Papers, 55 (9), 2813-2826. (doi:10.1109/TCSI.2008.922026).

Record type: Article

Abstract

Repetitive processes are a distinct class of two-dimensional systems (i.e., information propagation in two independent directions) of both systems theoretic and applications interest. A systems theory for them cannot be obtained by direct extension of existing techniques from standard (termed 1-D here) or, in many cases, two-dimensional (2-D) systems theory. Here, we give new results towards the development of such a theory in H2 and mixed H2/H settings. These results are for the sub-class of so-called differential linear repetitive processes and focus on the fundamental problems of stabilization and disturbance attenuation.

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Published date: October 2008
Keywords: calH2 and mixed calH2/calH ? control, differential linear repetitive processes, H 2 and mixed H 2/H 1 control, linear matrix inequalities
Organisations: Southampton Wireless Group

Identifiers

Local EPrints ID: 265117
URI: http://eprints.soton.ac.uk/id/eprint/265117
ISSN: 1549-8328
PURE UUID: c6963456-3f44-4208-9011-94c042da53b2
ORCID for E. Rogers: ORCID iD orcid.org/0000-0003-0179-9398

Catalogue record

Date deposited: 27 Jan 2008 16:52
Last modified: 29 Oct 2019 02:08

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