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H∞ and guaranteed cost control of discrete linear repetitive processes

H∞ and guaranteed cost control of discrete linear repetitive processes
H∞ and guaranteed cost control of discrete linear repetitive processes
Repetitive processes are a distinct class of 2D systems (i.e. information propagation in two independent directions) of both systems theoretic and applications interest. In general, they cannot be controlled by direct extension of existing techniques from either standard (termed 1D here) or 2D systems theory. Here first we give major newresults on the design of control laws using an H∞ setting and including the possibility of uncertainty in the process model. Then we give the first ever results on guaranteed cost control, i.e. including a performance criterion in the design. The designs in both cases can be computed using linear matrix inequalities. These results are for so-called discrete linear repetitive processes which arise in applications areas such as iterative learning control.
0024-3795
93-131
Paszke, W
7f08c6f0-79bf-40d9-8957-17581bbb8687
Galkowski, K
65b638be-b5a5-4e25-b1b8-e152c08a1cbb
Rogers, E
611b1de0-c505-472e-a03f-c5294c63bb72
Owens, D H
d1838c62-b96e-4710-9e5a-ed097fae28f6
Paszke, W
7f08c6f0-79bf-40d9-8957-17581bbb8687
Galkowski, K
65b638be-b5a5-4e25-b1b8-e152c08a1cbb
Rogers, E
611b1de0-c505-472e-a03f-c5294c63bb72
Owens, D H
d1838c62-b96e-4710-9e5a-ed097fae28f6

Paszke, W, Galkowski, K, Rogers, E and Owens, D H (2006) H∞ and guaranteed cost control of discrete linear repetitive processes. Linear Algebra and Its Applications, 412, 93-131.

Record type: Article

Abstract

Repetitive processes are a distinct class of 2D systems (i.e. information propagation in two independent directions) of both systems theoretic and applications interest. In general, they cannot be controlled by direct extension of existing techniques from either standard (termed 1D here) or 2D systems theory. Here first we give major newresults on the design of control laws using an H∞ setting and including the possibility of uncertainty in the process model. Then we give the first ever results on guaranteed cost control, i.e. including a performance criterion in the design. The designs in both cases can be computed using linear matrix inequalities. These results are for so-called discrete linear repetitive processes which arise in applications areas such as iterative learning control.

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Published date: 2006
Organisations: Southampton Wireless Group

Identifiers

Local EPrints ID: 264349
URI: http://eprints.soton.ac.uk/id/eprint/264349
ISSN: 0024-3795
PURE UUID: cd1b38f7-5b85-4cb0-8663-0918c0b8692f
ORCID for E Rogers: ORCID iD orcid.org/0000-0003-0179-9398

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Date deposited: 27 Jul 2007
Last modified: 17 Dec 2019 02:02

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