Optimal Control of Non-stationary Differential Linear Repetitive Processes |
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Authors: | S Dymkou M Dymkov E Rogers K Galkowski |
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Institution: | 1. Department of Applied Mathematics II, Friedrich-Alexander-University of Erlangen-Nuremberg, Martensstra?e 3, Erlangen, D-91058, Germany 2. Belarus State Economic University, Partizanski Ave., 26, Minsk, Belarus 3. School of Electronics and Computer Science, University of Southampton, Southampton, SO17 1BJ, UK 4. Institute of Control and Computation Engineering, University of Zielona Gora, ul. Podgorna 50, Zielona Gora, 65-246, Poland
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Abstract: | Differential repetitive processes are a distinct class of continuous-discrete 2D linear systems of both systems theoretic
and applications interest. The feature which makes them distinct from other classes of such systems is the fact that information
propagation in one of the two independent directions only occurs over a finite interval. Applications areas include iterative
learning control and iterative solution algorithms for classes of dynamic nonlinear optimal control problems based on the
maximum principle, and the modelling of numerous industrial processes such as metal rolling, and long-wall cutting etc. The
new results in is paper solve a general optimal problem in the presence of non-stationary dynamics. |
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Keywords: | Repetitive dynamics optimal control non-stationary dynamics |
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