Two-dimensional frequency response analysis and insights for weight selection in cross-directional model predictive control

TitleTwo-dimensional frequency response analysis and insights for weight selection in cross-directional model predictive control
Publication TypeConference Paper
Year of Publication2003
AuthorsFan, J., G. E. Stewart, and G. A. Dumont
Conference NameDecision and Control, 2003. Proceedings. 42nd IEEE Conference on
Pagination3717 - 3723 vol.4
Date Publisheddec.
Keywordsbandwidth, closed loop systems, continuous time systems, cross directional model predictive control, cross directional papermaking process, frequency response, frequency-domain analysis, industrial control, industrial model predictive control, industrial MPC, invariance, large scale transfer matrices, linear systems, paper industry, predictive control, robust control, single input single output systems, SISO systems, spatial frequencies, spatially distributed systems, spatially invariant systems, stability margin, time invariant systems, two dimensional frequency domain analysis, two dimensional frequency response analysis, weight selection
Abstract

This paper describes the application of a technique for the two-dimensional frequency domain analysis of the closed-loop performance of a cross-directional papermaking process under industrial model predictive control (MPC). For such spatially-distributed systems, the process model and the linear portion of the controller are approximated as linear, spatially-invariant, and time-invariant. The closed-loop performance of these systems can then be analyzed in terms of a family of SISO systems by diagonalizing the large-scale transfer matrices across spatial frequencies. Familiar concepts from control engineering such as bandwidth and stability margin are extended into the two-dimensional frequency domain.

URLhttp://dx.doi.org/10.1109/CDC.2003.1271727
DOI10.1109/CDC.2003.1271727

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