Two-dimensional frequency analysis for unconstrained model predictive control of cross-directional processes

  • Authors:

  • Junqiang Fan;Gregory E. Stewart;Guy A. Dumont

  • Affiliations:

  • Honeywell Automation and Control Solutions, 500 Brooksbank Avenue, North Vancouver, BC, Canada, V7J 3S4;Honeywell Automation and Control Solutions, 500 Brooksbank Avenue, North Vancouver, BC, Canada, V7J 3S4;Department of Electrical and Computer Engineering, University of British Columbia, 2356 Main Mall, Vancouver, BC, Canada V6T 1Z4

  • Venue:
  • Automatica (Journal of IFAC)
  • Year:
  • 2004

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Abstract

This paper presents consistent criteria for evaluating the selection of tuning parameters for an industrial model predictive control of large-scale cross-directional (CD) processes using a two-dimensional (temporal and spatial) frequency analysis technique. The concept of rectangular circulant matrices (RCMs) and their properties are presented. It is shown that large-scale CD processes can be approximated as RCMs and then diagonalized by complex Fourier matrices, allowing analysis in terms of a family of SISO transfer functions across the spatial frequencies. Familiar concepts from control engineering such as bandwidth and stability margin are extended into the two-dimensional frequency domain, providing intuitive measures of closed-loop performance and robustness.