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Finite frequency domain design of dynamic controllers for differential linear repetitive processes

Finite frequency domain design of dynamic controllers for differential linear repetitive processes
Finite frequency domain design of dynamic controllers for differential linear repetitive processes
Repetitive processes make a series of sweeps, or passes, through dynamics defined over a finite duration. One application area is iterative learning control where the stability theory for these processes can be used for design but this involves frequency attenuation over the complete frequency spectrum. This paper develops a new set of conditions where the stability property is only enforced over a finite frequency range. These conditions are developed using the generalized Kalman-Yakubovich-Popov lemma and can be implemented as a set of linear matrix inequalities. An extension to enable stabilizing control law design with additional applications relevant performance specifications, if required, is also developed.
Paszke, W.
dd4b8f12-17c7-45ee-bfb0-e9675bd7d854
Rogers, E.
611b1de0-c505-472e-a03f-c5294c63bb72
Galkowski, K.
40c02cf5-8fcb-44de-bb1e-f9f70fdd265d
Paszke, W.
dd4b8f12-17c7-45ee-bfb0-e9675bd7d854
Rogers, E.
611b1de0-c505-472e-a03f-c5294c63bb72
Galkowski, K.
40c02cf5-8fcb-44de-bb1e-f9f70fdd265d

Paszke, W., Rogers, E. and Galkowski, K. (2013) Finite frequency domain design of dynamic controllers for differential linear repetitive processes. 2013 American Control Conference, Washington DC, United States. 17 - 19 Jun 2013.

Record type: Conference or Workshop Item (Paper)

Abstract

Repetitive processes make a series of sweeps, or passes, through dynamics defined over a finite duration. One application area is iterative learning control where the stability theory for these processes can be used for design but this involves frequency attenuation over the complete frequency spectrum. This paper develops a new set of conditions where the stability property is only enforced over a finite frequency range. These conditions are developed using the generalized Kalman-Yakubovich-Popov lemma and can be implemented as a set of linear matrix inequalities. An extension to enable stabilizing control law design with additional applications relevant performance specifications, if required, is also developed.

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More information

Published date: 18 June 2013
Venue - Dates: 2013 American Control Conference, Washington DC, United States, 2013-06-17 - 2013-06-19
Organisations: Southampton Wireless Group

Identifiers

Local EPrints ID: 352233
URI: http://eprints.soton.ac.uk/id/eprint/352233
PURE UUID: c945b25b-a19b-445c-b2f6-35d6ed942d38
ORCID for E. Rogers: ORCID iD orcid.org/0000-0003-0179-9398

Catalogue record

Date deposited: 08 May 2013 14:10
Last modified: 20 Jul 2019 01:23

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