Two-dimensional frequency analysis of structured uncertainty for multiple array paper machine cross-directional processes

TitleTwo-dimensional frequency analysis of structured uncertainty for multiple array paper machine cross-directional processes
Publication TypeConference Paper
Year of Publication2005
AuthorsFan, J., and G. A. Dumont
Conference Name2005 44th IEEE Conference on Decision and Control & European Control Conference, Vols 1-8
Pagination3031-3036
PublisherIEEE Control Syst Soc; European Union Control Assoc; IFAC; INFORMS; SIAM; SICE; Honeywell; MathWorks
Conference Location345 E 47TH ST, NEW YORK, NY 10017 USA
ISBN Number0-7803-9567-0
Abstract

This paper provides a two-dimensional frequency analysis technique for robust controllers of large-scale multiple array paper machine cross-directional (CD) processes with structured model uncertainty. For such spatially-distributed dynamical systems, the process model and its realistic structured uncertainty are assumed to be linear, spatially-invariant, and time-invariant. These large-scale MIMO systems are rectangular circulant matrix blocks that can be conveniently transformed into a family of small dimension transfer functions in the two-dimensional frequency domain. This significantly simplifies the controller design and gives a better physical insight about the realistic structured uncertainty problem. Given a linear feedback controller, we can easily derive the robust stability condition for the closed-loop CD system in the two-dimensional frequency domain.

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