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Stability and control of differential linear repetitive processes using an LMI setting

Stability and control of differential linear repetitive processes using an LMI setting
Stability and control of differential linear repetitive processes using an LMI setting
This paper considers differential linear repetitive processes which are a distinct class of two-dimensional continuous-discrete linear systems of both physical and systems theoretic interest. The substantial new results are on the application of linear-matrix-inequality-based tools to stability analysis and controller design for these processes, where the class of control laws used has a well defined physical basis. It is also shown that these tools extend naturally to cases when there is uncertainty in the state-space model of the underlying dynamics.
662-666
Galkowski, K
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Paszke, W
7f08c6f0-79bf-40d9-8957-17581bbb8687
Rogers, E
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Xu, S
d0c08db7-ec57-41cc-9546-2b84fae4ffbf
Lam, J
56f6bc38-7d72-40f2-afde-20ff749c9dd4
Owens, D H
d1838c62-b96e-4710-9e5a-ed097fae28f6
Galkowski, K
65b638be-b5a5-4e25-b1b8-e152c08a1cbb
Paszke, W
7f08c6f0-79bf-40d9-8957-17581bbb8687
Rogers, E
611b1de0-c505-472e-a03f-c5294c63bb72
Xu, S
d0c08db7-ec57-41cc-9546-2b84fae4ffbf
Lam, J
56f6bc38-7d72-40f2-afde-20ff749c9dd4
Owens, D H
d1838c62-b96e-4710-9e5a-ed097fae28f6

Galkowski, K, Paszke, W, Rogers, E, Xu, S, Lam, J and Owens, D H (2003) Stability and control of differential linear repetitive processes using an LMI setting. IEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing, 50 (9), 662-666.

Record type: Article

Abstract

This paper considers differential linear repetitive processes which are a distinct class of two-dimensional continuous-discrete linear systems of both physical and systems theoretic interest. The substantial new results are on the application of linear-matrix-inequality-based tools to stability analysis and controller design for these processes, where the class of control laws used has a well defined physical basis. It is also shown that these tools extend naturally to cases when there is uncertainty in the state-space model of the underlying dynamics.

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Published date: 2003
Organisations: Southampton Wireless Group

Identifiers

Local EPrints ID: 257467
URI: http://eprints.soton.ac.uk/id/eprint/257467
PURE UUID: c70e1504-e6d1-4b02-8582-4a63c4f8af05
ORCID for E Rogers: ORCID iD orcid.org/0000-0003-0179-9398

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Date deposited: 29 Feb 2004
Last modified: 10 Dec 2019 01:57

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Contributors

Author: K Galkowski
Author: W Paszke
Author: E Rogers ORCID iD
Author: S Xu
Author: J Lam
Author: D H Owens

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