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
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
October 2021
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), .
(doi:10.1007/s11045-021-00780-1).
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
More information
Published date: October 2021
Additional Information:
Funding Information:
The work was partially supported by the National Science Centre in Poland, grant no. 2020/37/B/ST7/03280.
Publisher Copyright:
© 2021, The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature.
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
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Date deposited: 22 Jul 2021 16:39
Last modified: 17 Mar 2024 06:42
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Contributors
Author:
Blazej Cichy
Author:
Petr Augusta
Author:
Krzysztof Galkowski
Author:
Eric Rogers
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