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Two-dimensional (2D) systems approach to feedforward/feedback control of a class of spatially interconnected systems

Two-dimensional (2D) systems approach to feedforward/feedback control of a class of spatially interconnected systems
Two-dimensional (2D) systems approach to feedforward/feedback control of a class of spatially interconnected systems

Electrical ladder circuits, consisting of a series, or cascade, connection of cells are a class of spatially interconnected systems. These circuits can be modelled as 2D systems, i.e. there exist two directions of information propagation, where one indeterminate is time and the other the number of the current cell (node). In this paper, the recently developed direct (2D) approach to stability analysis and stabilisation of these systems is extended to the presence of uncertainty in the models described by the norm bounded structure. The analysis is then further extended to the design of feedforward/feedback control action to track a spatially distributed time invariant reference signal in the presence of disturbances.

feedforward/feedback control, ladder circuits, robust control, Spatially interconnected systems
0020-7179
2780-2791
Sulikowski, Bartłomiej
770f91c6-2587-4833-a2df-975a8c81196f
Gałkowski, Krzysztof
ce0d0509-675e-4d30-b2c4-2ca46c22dbe5
Kummert, Anton
b54508e8-8bca-4b8b-9081-0639eee2903c
Rogers, Eric
611b1de0-c505-472e-a03f-c5294c63bb72
Sulikowski, Bartłomiej
770f91c6-2587-4833-a2df-975a8c81196f
Gałkowski, Krzysztof
ce0d0509-675e-4d30-b2c4-2ca46c22dbe5
Kummert, Anton
b54508e8-8bca-4b8b-9081-0639eee2903c
Rogers, Eric
611b1de0-c505-472e-a03f-c5294c63bb72

Sulikowski, Bartłomiej, Gałkowski, Krzysztof, Kummert, Anton and Rogers, Eric (2018) Two-dimensional (2D) systems approach to feedforward/feedback control of a class of spatially interconnected systems. International Journal of Control, 91 (12), 2780-2791. (doi:10.1080/00207179.2018.1522451).

Record type: Article

Abstract

Electrical ladder circuits, consisting of a series, or cascade, connection of cells are a class of spatially interconnected systems. These circuits can be modelled as 2D systems, i.e. there exist two directions of information propagation, where one indeterminate is time and the other the number of the current cell (node). In this paper, the recently developed direct (2D) approach to stability analysis and stabilisation of these systems is extended to the presence of uncertainty in the models described by the norm bounded structure. The analysis is then further extended to the design of feedforward/feedback control action to track a spatially distributed time invariant reference signal in the presence of disturbances.

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More information

Accepted/In Press date: 4 September 2018
e-pub ahead of print date: 11 September 2018
Published date: 2 December 2018
Keywords: feedforward/feedback control, ladder circuits, robust control, Spatially interconnected systems

Identifiers

Local EPrints ID: 427205
URI: http://eprints.soton.ac.uk/id/eprint/427205
ISSN: 0020-7179
PURE UUID: f6f9b32f-096d-4c69-9755-b936db9156b8
ORCID for Eric Rogers: ORCID iD orcid.org/0000-0003-0179-9398

Catalogue record

Date deposited: 08 Jan 2019 17:30
Last modified: 07 Oct 2020 01:34

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Contributors

Author: Bartłomiej Sulikowski
Author: Krzysztof Gałkowski
Author: Anton Kummert
Author: Eric Rogers ORCID iD

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