The University of Southampton
University of Southampton Institutional Repository

Modeling and iterative learning control of spatially distributed parameter systems with sensing and actuation over a selected area of the domain

Modeling and iterative learning control of spatially distributed parameter systems with sensing and actuation over a selected area of the domain
Modeling and iterative learning control of spatially distributed parameter systems with sensing and actuation over a selected area of the domain
This paper gives new contributions to the development of iterative learning control for distributed parameter systems, based on using finite difference schemes to construct a finite-dimensional approximate model of the dynamics for control law design. To form a basis for the new results, systems whose dynamics are described by a fourth-order partial differential equation are considered together with the associated accuracy and numerical stability checks. Some previous control law designs use only a spatial variable as the control input, which can be a serious obstacle to practical implementation since many actuators and sensors must be deployed. This paper’s new design is based on spatially homogeneous sensing and excitation over a selected sub-area of the domain considered. Supporting numerical case studies are given to support the analysis.
Spatially distributed parameter systems and Iterative learning control
0923-6082
1237-1258
Cichy, Blazej
e2ab5970-ba64-415d-8bc2-a4a57dc44edb
Augusta, Petr
088d0ed1-6c4e-4809-8693-2c698620f530
Galkowski, Krzysztof
322994ac-7e24-4350-ab72-cc80ac8078ef
Rogers, Eric
611b1de0-c505-472e-a03f-c5294c63bb72
Cichy, Blazej
e2ab5970-ba64-415d-8bc2-a4a57dc44edb
Augusta, Petr
088d0ed1-6c4e-4809-8693-2c698620f530
Galkowski, Krzysztof
322994ac-7e24-4350-ab72-cc80ac8078ef
Rogers, Eric
611b1de0-c505-472e-a03f-c5294c63bb72

Cichy, Blazej, Augusta, Petr, Galkowski, Krzysztof and Rogers, Eric (2021) Modeling and iterative learning control of spatially distributed parameter systems with sensing and actuation over a selected area of the domain. Multidimensional Systems and Signal Processing, 32 (4), 1237-1258. (doi:10.1007/s11045-021-00780-1).

Record type: Article

Abstract

This paper gives new contributions to the development of iterative learning control for distributed parameter systems, based on using finite difference schemes to construct a finite-dimensional approximate model of the dynamics for control law design. To form a basis for the new results, systems whose dynamics are described by a fourth-order partial differential equation are considered together with the associated accuracy and numerical stability checks. Some previous control law designs use only a spatial variable as the control input, which can be a serious obstacle to practical implementation since many actuators and sensors must be deployed. This paper’s new design is based on spatially homogeneous sensing and excitation over a selected sub-area of the domain considered. Supporting numerical case studies are given to support the analysis.

Text
Modeling and iterative learning control of spatially distributed parameter systems with sensing and actuation over a selected area of the domain - Accepted Manuscript
Download (1MB)

More information

Published date: 31 May 2021
Keywords: Spatially distributed parameter systems and Iterative learning control

Identifiers

Local EPrints ID: 450323
URI: http://eprints.soton.ac.uk/id/eprint/450323
ISSN: 0923-6082
PURE UUID: 2ca62034-36b4-45a3-9ee3-b3d6f229f9aa
ORCID for Eric Rogers: ORCID iD orcid.org/0000-0003-0179-9398

Catalogue record

Date deposited: 22 Jul 2021 16:39
Last modified: 31 May 2022 04:01

Export record

Altmetrics

Contributors

Author: Blazej Cichy
Author: Petr Augusta
Author: Krzysztof Galkowski
Author: Eric Rogers ORCID iD

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.

×