Output feedback control of discrete linear repetitive processes

Authors:
Bartlomiej Sulikowski;Krzysztof GałKowski;Eric Rogers;David H. Owens
Affiliations:
Institute of Control and Computation Engineering, University of Zielona Gora, Podgorna Str. 50, 65-246 Zielona Gora, Poland;Institute of Control and Computation Engineering, University of Zielona Gora, Podgorna Str. 50, 65-246 Zielona Gora, Poland;School of Electronics and Computer Science, University of Southampton, Southampton, SO17 1BJ, UK;Department of Automatic Control and Systems Engineering, University of Sheffield, Sheffield S1 3JD UK
Venue:
Automatica (Journal of IFAC)
Year:
2004

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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. Here, we give new results on the relatively open problem of the design of physically based control laws using an LMI setting. These results are for the sub-class of the so-called discrete linear repetitive processes which arise in applications areas such as iterative learning control.