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Dominant pole placement for multi-loop control systems

Yuzhu, Zhang; Wang, Qing-Guo and Åström, Karl Johan LU (2002) In Automatica 38(7). p.1213-1220
Abstract
This paper proposes a method for multi-loop PI controller design which can achieve dominant pole placement for two input two output processes. It is an extension of the original dominant pole design (PID Controllers: Theory, Design, and Tuning, Instrument Society of America, Research Triangle park, NC, 1995.) for SISO systems. Unlike its SISO counterpart, where the controller parameters can be obtained analytically, the multi-loop version amounts to solving some coupled nonlinear equation with complex coefficients, for which closed-form formulae are not possible. A novel approach is developed to solve the equation using a “root trajectory” method, in which the solution to our pole placement problem is found from intersection points between... (More)
This paper proposes a method for multi-loop PI controller design which can achieve dominant pole placement for two input two output processes. It is an extension of the original dominant pole design (PID Controllers: Theory, Design, and Tuning, Instrument Society of America, Research Triangle park, NC, 1995.) for SISO systems. Unlike its SISO counterpart, where the controller parameters can be obtained analytically, the multi-loop version amounts to solving some coupled nonlinear equation with complex coefficients, for which closed-form formulae are not possible. A novel approach is developed to solve the equation using a “root trajectory” method, in which the solution to our pole placement problem is found from intersection points between the “root trajectories” and the positive real axis. The design procedure is given and simulation examples are provided to show the effectiveness of the proposed method and comparisons are made with the BLT method. (Less)
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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Dominant poles, Pole placement, Process control, Multi-loop controllers, PI control
in
Automatica
volume
38
issue
7
pages
1213 - 1220
publisher
Pergamon
external identifiers
  • scopus:0036642564
ISSN
0005-1098
DOI
10.1016/S0005-1098(02)00009-2
language
English
LU publication?
yes
id
c5c4043d-2db5-4cf5-9ed0-b998ae36c188 (old id 162048)
date added to LUP
2007-07-11 11:02:34
date last changed
2017-10-01 04:42:56
@article{c5c4043d-2db5-4cf5-9ed0-b998ae36c188,
  abstract     = {This paper proposes a method for multi-loop PI controller design which can achieve dominant pole placement for two input two output processes. It is an extension of the original dominant pole design (PID Controllers: Theory, Design, and Tuning, Instrument Society of America, Research Triangle park, NC, 1995.) for SISO systems. Unlike its SISO counterpart, where the controller parameters can be obtained analytically, the multi-loop version amounts to solving some coupled nonlinear equation with complex coefficients, for which closed-form formulae are not possible. A novel approach is developed to solve the equation using a “root trajectory” method, in which the solution to our pole placement problem is found from intersection points between the “root trajectories” and the positive real axis. The design procedure is given and simulation examples are provided to show the effectiveness of the proposed method and comparisons are made with the BLT method.},
  author       = {Yuzhu, Zhang and Wang, Qing-Guo and Åström, Karl Johan},
  issn         = {0005-1098},
  keyword      = {Dominant poles,Pole placement,Process control,Multi-loop controllers,PI control},
  language     = {eng},
  number       = {7},
  pages        = {1213--1220},
  publisher    = {Pergamon},
  series       = {Automatica},
  title        = {Dominant pole placement for multi-loop control systems},
  url          = {http://dx.doi.org/10.1016/S0005-1098(02)00009-2},
  volume       = {38},
  year         = {2002},
}