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Robust PID design based on QFT and convex-concave optimization

Mercader, Pedro ; Åström, Karl Johan LU ; Banos, Alfonso and Hägglund, Tore LU (2017) In IEEE Transactions on Control Systems Technology 25(2). p.441-452
Abstract

This paper presents an automatic loop-shaping method for designing proportional integral derivative controllers. Criteria for load disturbance attenuation, measurement noise injection, set-point response and robustness to plant uncertainty are given. One criterion is chosen to be optimized with the remaining ones as constraints. Two cases are considered: M-constrained integral gain optimization and minimization of the cost of feedback according to quantitative feedback theory. Optimization is performed using a convex-concave procedure (CCP). The method that relies on solving a sequence of convex optimization problems converges to a local minimum or a saddle point. The proposed method is illustrated by examples.

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author
; ; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Convex optimization, proportional integral derivative (PID) control, quantitative feedback theory (QFT)
in
IEEE Transactions on Control Systems Technology
volume
25
issue
2
article number
7475888
pages
12 pages
publisher
IEEE - Institute of Electrical and Electronics Engineers Inc.
external identifiers
  • wos:000395644600006
  • scopus:84971447492
ISSN
1063-6536
DOI
10.1109/TCST.2016.2562581
language
English
LU publication?
yes
id
a7bde694-f577-40df-92d4-2a07d0f14843
date added to LUP
2017-03-13 08:54:27
date last changed
2025-03-18 20:13:46
@article{a7bde694-f577-40df-92d4-2a07d0f14843,
  abstract     = {{<p>This paper presents an automatic loop-shaping method for designing proportional integral derivative controllers. Criteria for load disturbance attenuation, measurement noise injection, set-point response and robustness to plant uncertainty are given. One criterion is chosen to be optimized with the remaining ones as constraints. Two cases are considered: M-constrained integral gain optimization and minimization of the cost of feedback according to quantitative feedback theory. Optimization is performed using a convex-concave procedure (CCP). The method that relies on solving a sequence of convex optimization problems converges to a local minimum or a saddle point. The proposed method is illustrated by examples.</p>}},
  author       = {{Mercader, Pedro and Åström, Karl Johan and Banos, Alfonso and Hägglund, Tore}},
  issn         = {{1063-6536}},
  keywords     = {{Convex optimization; proportional integral derivative (PID) control; quantitative feedback theory (QFT)}},
  language     = {{eng}},
  month        = {{03}},
  number       = {{2}},
  pages        = {{441--452}},
  publisher    = {{IEEE - Institute of Electrical and Electronics Engineers Inc.}},
  series       = {{IEEE Transactions on Control Systems Technology}},
  title        = {{Robust PID design based on QFT and convex-concave optimization}},
  url          = {{http://dx.doi.org/10.1109/TCST.2016.2562581}},
  doi          = {{10.1109/TCST.2016.2562581}},
  volume       = {{25}},
  year         = {{2017}},
}