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POSITIVE REALNESS AND THE ANALYSIS OF A CLASS OF 2D LINEAR SYSTEMS
K. Galkowski* W. Paszke* B. Sulikowski* E. Rogers** S. Xu***
J. Lam**** Z. Lin† D.H. Owens‡
* Institute of Control and Computation Engineering,
University of Zielona Gora, Poland. k.galkowski@issi.uz.zgora.pl
** Department of Electronics and Computer Science, University of
Southampton, Southampton SO17 1BJ, UK.
*** Departament of Electrical and Computer Engineering,
University of Alberta, Edmonton, Alberta, Canada T6G 2V4
**** Department of Mechanical Engineering,
University of Hong Kong
† School of EEE, Nanyang Technological University, Nanyang Ave.,
639798 Singapore
‡ Department of Automatic Control and Systems Engineering,
University of Sheffield, Sheffield S1 3JD, UK.
Repetitive processes are a distinct class of 2D linear systems with applications in areas ranging from long-wall coal cutting and metal rolling operations through 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 give the first significant results on a positive realness based approach to the analysis of these processes.
Keywords: 2D linear systems, repetitive processes, positive realness
Session slot T-Tu-M14: Linear systems theory/Area code 2b : Linear Systems
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