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LMI based stability analysis and robust controller design for discrete linear repetitive processes

LMI based stability analysis and robust controller design for discrete linear repetitive processes
LMI based stability analysis and robust controller design for discrete linear repetitive processes
Discrete linear repetitive processes are a distinct class of 2D linear systems with applications in areas ranging from long-wall coal cutting through to iterative learning control schemes. The main feature which makes them distinct from other classes of 2D linear systems is that information propagation in one of the two independent directions only occurs over a finite duration. This, in turn, means that a distinct systems theory must be developed for them. In this paper, the major new development is that an LMI based re-formulation of the stability conditions can used to enable the design of a family of control laws which have a well defined physical basis. It is also noted that this setting can be used to investigate robustness aspects.
1049-8923
1195-1211
Galkowski, K
65b638be-b5a5-4e25-b1b8-e152c08a1cbb
Lam, J
56f6bc38-7d72-40f2-afde-20ff749c9dd4
Rogers, E
611b1de0-c505-472e-a03f-c5294c63bb72
Xu, S
d0c08db7-ec57-41cc-9546-2b84fae4ffbf
Sulikowski, B
ce04e038-a46c-42fc-b23e-a21ce55f5b3d
Paszke, W
7f08c6f0-79bf-40d9-8957-17581bbb8687
Owens, D H
d1838c62-b96e-4710-9e5a-ed097fae28f6
Galkowski, K
65b638be-b5a5-4e25-b1b8-e152c08a1cbb
Lam, J
56f6bc38-7d72-40f2-afde-20ff749c9dd4
Rogers, E
611b1de0-c505-472e-a03f-c5294c63bb72
Xu, S
d0c08db7-ec57-41cc-9546-2b84fae4ffbf
Sulikowski, B
ce04e038-a46c-42fc-b23e-a21ce55f5b3d
Paszke, W
7f08c6f0-79bf-40d9-8957-17581bbb8687
Owens, D H
d1838c62-b96e-4710-9e5a-ed097fae28f6

Galkowski, K, Lam, J, Rogers, E, Xu, S, Sulikowski, B, Paszke, W and Owens, D H (2003) LMI based stability analysis and robust controller design for discrete linear repetitive processes. International Journal of Robust and Nonlinear Control, 13, 1195-1211.

Record type: Article

Abstract

Discrete linear repetitive processes are a distinct class of 2D linear systems with applications in areas ranging from long-wall coal cutting through to iterative learning control schemes. The main feature which makes them distinct from other classes of 2D linear systems is that information propagation in one of the two independent directions only occurs over a finite duration. This, in turn, means that a distinct systems theory must be developed for them. In this paper, the major new development is that an LMI based re-formulation of the stability conditions can used to enable the design of a family of control laws which have a well defined physical basis. It is also noted that this setting can be used to investigate robustness aspects.

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Published date: 2003
Organisations: Southampton Wireless Group

Identifiers

Local EPrints ID: 257749
URI: http://eprints.soton.ac.uk/id/eprint/257749
ISSN: 1049-8923
PURE UUID: 91775e1f-6f72-4e48-b926-fdb1ad5475c1
ORCID for E Rogers: ORCID iD orcid.org/0000-0003-0179-9398

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Date deposited: 29 Feb 2004
Last modified: 03 Dec 2019 02:04

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