Technical communique: PI control of discrete linear repetitive processes

Authors:
Bartlomiej Sulikowski;Krzysztof Galkowski;Eric Rogers;David H. Owens
Affiliations:
Institute of Control and Computation Engineering, University of Zielona Gora, ul. Podgorna 50, 65-246 Zielona Gora, Poland;Institute of Control and Computation Engineering, University of Zielona Gora, ul. Podgorna 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:
2006

Citing 2
Cited 2

Analysis of Linear Iterative Learning Control Schemes -A 2D Systems/Repetitive Processes Approach

Multidimensional Systems and Signal Processing - Recent progress in multidimensional control theory and applications
Stability Analysis for Linear Repetitive Processes

Stability Analysis for Linear Repetitive Processes

Technical communique: PI output feedback control of differential linear repetitive processes

Automatica (Journal of IFAC)
Further studies on relaxed stabilization conditions for discrete-time two-dimension Takagi-Sugeno fuzzy systems

Information Sciences: an International Journal

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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).