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Two dimensional loop shaping controller design for paper machine cross-directional processes Stewart, Gregory Edward
Abstract
The objective of this work is the development of a practical technique for the design of feedback controllers for the cross-directional control of paper machines. An industrial paper machine produces a wide sheet of paper which is required to be of uniform quality in terms of the weight, moisture content, and caliper (thickness). Modern machines produce a paper sheet which is up to 11 metres in width and is properly described as a two dimensional system. The direction perpendicular to the sheet travel is known as the cross-direction, and cross-directional control is implemented by arrays of up to 300 identical actuators evenly distributed across the sheet width. The sheet properties are measured by a scanning sensor at up to 2000 locations evenly spaced across the width of the moving paper sheet. A constructive, computationally inexpensive, graphical controller design technique is developed for dynamical systems that are distributed in one spatial dimension and controlled by an array of identical actuators. The feedback controller is designed using a two dimensional loop shaping technique with reference to the process model and the model uncertainty such that the spatial and dynamical bandwidth limitations of the physical system are respected. The two dimensional loop shaping design technique is then applied to the design of cross-directional feedback controllers for the paper making process. The two dimensional loop shaping approach is well-suited to address the wide variety of processes and conditions for which a cross-directional controller must perform well. The design technique is demonstrated by successfully tuning an industrial crossdirectional controller. The tuning results are confirmed by experiments with a real paper machine in a working mill.
Item Metadata
Title |
Two dimensional loop shaping controller design for paper machine cross-directional processes
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Creator | |
Publisher |
University of British Columbia
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Date Issued |
2000
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Description |
The objective of this work is the development of a practical technique for the design of
feedback controllers for the cross-directional control of paper machines.
An industrial paper machine produces a wide sheet of paper which is required to
be of uniform quality in terms of the weight, moisture content, and caliper (thickness).
Modern machines produce a paper sheet which is up to 11 metres in width and is properly
described as a two dimensional system. The direction perpendicular to the sheet travel is
known as the cross-direction, and cross-directional control is implemented by arrays of up
to 300 identical actuators evenly distributed across the sheet width. The sheet properties
are measured by a scanning sensor at up to 2000 locations evenly spaced across the width
of the moving paper sheet.
A constructive, computationally inexpensive, graphical controller design technique
is developed for dynamical systems that are distributed in one spatial dimension and
controlled by an array of identical actuators. The feedback controller is designed using a
two dimensional loop shaping technique with reference to the process model and the model
uncertainty such that the spatial and dynamical bandwidth limitations of the physical
system are respected.
The two dimensional loop shaping design technique is then applied to the design of
cross-directional feedback controllers for the paper making process. The two dimensional
loop shaping approach is well-suited to address the wide variety of processes and conditions
for which a cross-directional controller must perform well.
The design technique is demonstrated by successfully tuning an industrial crossdirectional
controller. The tuning results are confirmed by experiments with a real paper
machine in a working mill.
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Extent |
12499533 bytes
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Genre | |
Type | |
File Format |
application/pdf
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Language |
eng
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Date Available |
2009-07-23
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Provider |
Vancouver : University of British Columbia Library
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Rights |
For non-commercial purposes only, such as research, private study and education. Additional conditions apply, see Terms of Use https://open.library.ubc.ca/terms_of_use.
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DOI |
10.14288/1.0065298
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URI | |
Degree | |
Program | |
Affiliation | |
Degree Grantor |
University of British Columbia
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Graduation Date |
2000-11
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Campus | |
Scholarly Level |
Graduate
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Aggregated Source Repository |
DSpace
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Item Media
Item Citations and Data
Rights
For non-commercial purposes only, such as research, private study and education. Additional conditions apply, see Terms of Use https://open.library.ubc.ca/terms_of_use.