PI control of discrete linear repetitive processes |
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Authors: | Bartlomiej Sulikowski David H. Owens |
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Affiliation: | a Institute of Control and Computation Engineering, University of Zielona Gora, ul. Podgorna 50, 65-246 Zielona Gora, Poland b School of Electronics and Computer Science, University of Southampton, Southampton, SO17 1BJ, UK c Department of Automatic Control and Systems Engineering, University of Sheffield, Sheffield S1 3JD, UK |
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Abstract: | Repetitive processes are a distinct class of 2D systems (i.e. information propagation in two independent directions) of both systems theoretic and applications interest. They cannot be controlled by direct extension of existing techniques from either standard (termed 1D here) or 2D systems theory. In this paper, we exploit their unique physical structure to show how two term, i.e. proportional plus integral (or PI) action, can be used to control these processes to produce desired behavior (as opposed to just stability). |
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Keywords: | Repetitive dynamics Stability Stabilization Controller design LMI |
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