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Robust stabilization of discrete linear repetitive processes with switched dynamics

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Bochniak J., Galkowski K., Rogers E., Kummert A.
International Journal of Applied Mathematics and Computer Science
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2006
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tom 16
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nr 4
441-462
EN
Repetitive processes constitute a distinct class of 2D systems, i.e., systems characterized by information propagation in two independent directions, which are interesting in both theory and applications. They cannot be controlled by a direct extension of the existing techniques from either standard (termed 1D here) or 2D systems theories. Here we give new results on the design of physically based control laws. These results are for a sub-class of discrete linear repetitive processes with switched dynamics in both independent directions of information propagation.
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On the development of SCILAB compatible software for the analysis and control of repetitive processes

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Ładowski Ł., Cichy B., Gałkowski K., Rogers E.
International Journal of Applied Mathematics and Computer Science
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2008
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tom 18
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nr 3
377-387
EN
In this paper further results on the development of a S CILAB compatible software package for the analysis and control of repetitive processes is described. The core of the package consists of a simulation tool which enables the user to inspect the response of a given example to an input, design a control law for stability and/or performance, and also simulate the response of a controlled process to a specified reference signal.
3
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Linear repetitive process control theory applied to a physical example

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Gałkowski K., Rogers E., Paszke W., Owens D. H.
International Journal of Applied Mathematics and Computer Science
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2003
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tom 13
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nr 1
87-99
EN
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.
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