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Control systems analysis for the Fornasini-Marchesini 2D systems model–progress after four decades

Control systems analysis for the Fornasini-Marchesini 2D systems model–progress after four decades
Control systems analysis for the Fornasini-Marchesini 2D systems model–progress after four decades

The development of a control systems theory for multidimensional linear systems, i.e. systems with more than one independent variable is an area where a very significant volume of research is based on representations for the underlying dynamics introduced in the 1970s. One of these is the Fornasini-Marchesini state-space model published in 1978. This paper reviews the significant developments in the succeeding four decades in both theory and applications, including examples where this model description is an enabler for the analysis of other classes of systems.

control design, control theoretic analysis, Fornasini-Marchesini models, linear repetitive process model, Roesser model
0020-7179
2801-2882
Galkowski, Krzysztof
322994ac-7e24-4350-ab72-cc80ac8078ef
Rogers, Eric
611b1de0-c505-472e-a03f-c5294c63bb72
Galkowski, Krzysztof
322994ac-7e24-4350-ab72-cc80ac8078ef
Rogers, Eric
611b1de0-c505-472e-a03f-c5294c63bb72

Galkowski, Krzysztof and Rogers, Eric (2018) Control systems analysis for the Fornasini-Marchesini 2D systems model–progress after four decades. International Journal of Control, 91 (12), 2801-2882. (doi:10.1080/00207179.2018.1537004).

Record type: Article

Abstract

The development of a control systems theory for multidimensional linear systems, i.e. systems with more than one independent variable is an area where a very significant volume of research is based on representations for the underlying dynamics introduced in the 1970s. One of these is the Fornasini-Marchesini state-space model published in 1978. This paper reviews the significant developments in the succeeding four decades in both theory and applications, including examples where this model description is an enabler for the analysis of other classes of systems.

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Control Systems Analysis for the Fornasini-Marchesini 2D Systems - Accepted Manuscript
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More information

Accepted/In Press date: 13 October 2018
e-pub ahead of print date: 16 October 2018
Published date: December 2018
Keywords: control design, control theoretic analysis, Fornasini-Marchesini models, linear repetitive process model, Roesser model

Identifiers

Local EPrints ID: 427727
URI: http://eprints.soton.ac.uk/id/eprint/427727
ISSN: 0020-7179
PURE UUID: eaf6a4d8-d8b1-47a4-8dec-331ce4d8e01e
ORCID for Eric Rogers: ORCID iD orcid.org/0000-0003-0179-9398

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Date deposited: 25 Jan 2019 17:30
Last modified: 16 Mar 2024 07:26

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Contributors

Author: Krzysztof Galkowski
Author: Eric Rogers ORCID iD

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