The University of Southampton
University of Southampton Institutional Repository

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.

Text
Control Systems Analysis for the Fornasini-Marchesini 2D Systems - Accepted Manuscript
Download (555kB)

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

Catalogue record

Date deposited: 25 Jan 2019 17:30
Last modified: 07 Oct 2020 06:42

Export record

Altmetrics

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton: eprints@soton.ac.uk

ePrints Soton supports OAI 2.0 with a base URL of http://eprints.soton.ac.uk/cgi/oai2

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.

×