# Linear repetitive process control theory applied to a physical example

Krzysztof Gałkowski; Eric Rogers; Wojciech Paszke; David Owens

International Journal of Applied Mathematics and Computer Science (2003)

- Volume: 13, Issue: 1, page 87-99
- ISSN: 1641-876X

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topGałkowski, Krzysztof, et al. "Linear repetitive process control theory applied to a physical example." International Journal of Applied Mathematics and Computer Science 13.1 (2003): 87-99. <http://eudml.org/doc/207627>.

@article{Gałkowski2003,

abstract = {In the case of linear dynamics, repetitive processes are a distinct class of 2D linear systems with uses in areas ranging from long-wall coal cutting and metal rolling operations to iterative learning control schemes. The main feature which makes them distinct from other classes of 2D linear systems is that information propagation in one of the two independent directions only occurs over a finite duration. This, in turn, means that a distinct systems theory must be developed for them for onward translation into efficient routinely applicable controller design algorithms for applications domains. In this paper, we introduce the dynamics of these processes by outlining the development of models for various metal rolling operations. These models are then used to illustrate some recent results on the development of a comprehensive control theory for these processes.},

author = {Gałkowski, Krzysztof, Rogers, Eric, Paszke, Wojciech, Owens, David},

journal = {International Journal of Applied Mathematics and Computer Science},

keywords = {repetitive dynamics; metal rolling; LMIs; delay differential system; stability; linear matrix inequality; 2D linear systems; models},

language = {eng},

number = {1},

pages = {87-99},

title = {Linear repetitive process control theory applied to a physical example},

url = {http://eudml.org/doc/207627},

volume = {13},

year = {2003},

}

TY - JOUR

AU - Gałkowski, Krzysztof

AU - Rogers, Eric

AU - Paszke, Wojciech

AU - Owens, David

TI - Linear repetitive process control theory applied to a physical example

JO - International Journal of Applied Mathematics and Computer Science

PY - 2003

VL - 13

IS - 1

SP - 87

EP - 99

AB - In the case of linear dynamics, repetitive processes are a distinct class of 2D linear systems with uses in areas ranging from long-wall coal cutting and metal rolling operations to iterative learning control schemes. The main feature which makes them distinct from other classes of 2D linear systems is that information propagation in one of the two independent directions only occurs over a finite duration. This, in turn, means that a distinct systems theory must be developed for them for onward translation into efficient routinely applicable controller design algorithms for applications domains. In this paper, we introduce the dynamics of these processes by outlining the development of models for various metal rolling operations. These models are then used to illustrate some recent results on the development of a comprehensive control theory for these processes.

LA - eng

KW - repetitive dynamics; metal rolling; LMIs; delay differential system; stability; linear matrix inequality; 2D linear systems; models

UR - http://eudml.org/doc/207627

ER -

## References

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- Rogers E. and Owens D.H. (1992): Stability Analysisfor Linear Repetitive Processes. - Berlin: Springer.
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