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2019 Vol.51, Issue 2 Preview Page
Multivariable Dimension-reduction and Synergic Control Strategy for Cross-directional Basis Weight of Papermaking Process
Wen-juan Shan†
,
Wei Tang1
Department of Light Industry Science and Engineering, Shaanxi University of Science & Technology, Xi’an, 710021
1Department of Electrical and Information Engineering, Shaanxi University of Science & Technology, Xi’an, 710021
†Corresponding author: E-Mail: swj0230@126.com
30 April 2019. pp. 76-87
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Abstract

In view of the characteristics of strong multivariable coupling in a cross-directional (CD) basis weight control system, a multivariable block-decoupling control strategy and a real-time decomposition algorithm are proposed in this paper. Based on a model of the CD basis weight profile, a system non-square interaction matrix with high dimensionality was analyzed by experimental studies and numerical computation. Along the diagonal of the interaction matrix, the matrix block method was adopted to reduce the system dimensions and convert it into a square system. The multivariable control system with high dimensionality is divided into several subsystems. According to the structure of each subsystem, a new constraint on the control variables was introduced to satisfy the triangular decomposition of the subsystem. Based on the multi-actuator parallel control strategy, the correlation between the subsystems was eliminated, and a high-dimensional multivariable decoupling control problem was transformed into a group single loop control general problem. The relative gain matrix of the new system was calculated to verify the decoupling effect in theory, and the real-time performance of the technique was demonstrated by results from an implementation on an actual project of a paper mill.

Keywords
Paper basis weight
cross-directional control
multivariable system
block matrix
dimension-reduction
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Information
  • Publisher :Korea Technical Association of The Pulp and Paper Industry
  • Publisher(Ko) :한국펄프종이공학회
  • Journal Title :Journal of Korea TAPPI
  • Journal Title(Ko) :펄프종이기술
  • Volume : 51
  • No :2
  • Pages :76-87
  • Received Date : 2019-03-12
  • Revised Date : 2019-04-09
  • Accepted Date : 2019-04-17
  • DOI :https://doi.org/10.7584/JKTAPPI.2019.04.51.2.76
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