A quasi-LMI approach to computing stabilizing parameter ranges of multi-loop PID controllers

Qing Guo Wang; Chong Lin; Zhen Ye; Guilin Wen; Yong He; Chang Chieh Hang

doi:10.1016/j.jprocont.2006.08.006

A quasi-LMI approach to computing stabilizing parameter ranges of multi-loop PID controllers

Qing Guo Wang, Chong Lin, Zhen Ye, Guilin Wen, Yong He, Chang Chieh Hang

National University of Singapore

Research output: Contribution to journal › Article › peer-review

39 Citations (Scopus)

Abstract

This paper addresses the problem of determining the parameter ranges of multi-loop PID (proportional-integral-derivative) controllers which stabilize a given process. An effective computational scheme is established by converting the considered problem to a quasi-LMI problem connected with robust stability test. The descriptor model approach is employed together with linearly parameter-dependent Lyapunov function method. Examples are given for illustration. The results are believed to facilitate real time tuning of multi-loop PID controllers for practical applications.

Original language	English
Pages (from-to)	59-72
Number of pages	14
Journal	Journal of Process Control
Volume	17
Issue number	1
DOIs	https://doi.org/10.1016/j.jprocont.2006.08.006
Publication status	Published - Jan 2007
Externally published	Yes

Keywords

PID control
Robust stability
Uncertain systems

ASJC Scopus subject areas

Control and Systems Engineering
Modeling and Simulation
Computer Science Applications
Industrial and Manufacturing Engineering

Access to Document

10.1016/j.jprocont.2006.08.006

Cite this

@article{e8c622d6206f4e8a9333a0d3f5d20044,

title = "A quasi-LMI approach to computing stabilizing parameter ranges of multi-loop PID controllers",

abstract = "This paper addresses the problem of determining the parameter ranges of multi-loop PID (proportional-integral-derivative) controllers which stabilize a given process. An effective computational scheme is established by converting the considered problem to a quasi-LMI problem connected with robust stability test. The descriptor model approach is employed together with linearly parameter-dependent Lyapunov function method. Examples are given for illustration. The results are believed to facilitate real time tuning of multi-loop PID controllers for practical applications.",

keywords = "PID control, Robust stability, Uncertain systems",

author = "Wang, {Qing Guo} and Chong Lin and Zhen Ye and Guilin Wen and Yong He and Hang, {Chang Chieh}",

year = "2007",

month = jan,

doi = "10.1016/j.jprocont.2006.08.006",

language = "English",

volume = "17",

pages = "59--72",

journal = "Journal of Process Control",

issn = "0959-1524",

publisher = "Elsevier Ltd.",

number = "1",

}

TY - JOUR

T1 - A quasi-LMI approach to computing stabilizing parameter ranges of multi-loop PID controllers

AU - Wang, Qing Guo

AU - Lin, Chong

AU - Ye, Zhen

AU - Wen, Guilin

AU - He, Yong

AU - Hang, Chang Chieh

PY - 2007/1

Y1 - 2007/1

N2 - This paper addresses the problem of determining the parameter ranges of multi-loop PID (proportional-integral-derivative) controllers which stabilize a given process. An effective computational scheme is established by converting the considered problem to a quasi-LMI problem connected with robust stability test. The descriptor model approach is employed together with linearly parameter-dependent Lyapunov function method. Examples are given for illustration. The results are believed to facilitate real time tuning of multi-loop PID controllers for practical applications.

AB - This paper addresses the problem of determining the parameter ranges of multi-loop PID (proportional-integral-derivative) controllers which stabilize a given process. An effective computational scheme is established by converting the considered problem to a quasi-LMI problem connected with robust stability test. The descriptor model approach is employed together with linearly parameter-dependent Lyapunov function method. Examples are given for illustration. The results are believed to facilitate real time tuning of multi-loop PID controllers for practical applications.

KW - PID control

KW - Robust stability

KW - Uncertain systems

UR - http://www.scopus.com/inward/record.url?scp=33845204368&partnerID=8YFLogxK

U2 - 10.1016/j.jprocont.2006.08.006

DO - 10.1016/j.jprocont.2006.08.006

M3 - Article

AN - SCOPUS:33845204368

SN - 0959-1524

VL - 17

SP - 59

EP - 72

JO - Journal of Process Control

JF - Journal of Process Control

IS - 1

ER -

A quasi-LMI approach to computing stabilizing parameter ranges of multi-loop PID controllers

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this