An Improved ILMI Method for Static Output Feedback Control With Application to Multivariable PID Control

Yong He; Qing Guo Wang

doi:10.1109/TAC.2006.883029

An Improved ILMI Method for Static Output Feedback Control With Application to Multivariable PID Control

Yong He, Qing Guo Wang

National University of Singapore

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

152 Citations (Scopus)

Abstract

An improved iterative linear matrix inequality (ILMI) algorithm for static output feedback (SOF) stabilization problem without introducing any additional variables is proposed in this note. The proposed ILMI algorithm is also extended to solve the SOF H_∞controller design problem. They are applied to the multivariable PID controllers. Numerical examples show that the proposed algorithms yield better results and faster convergence than the existing ones.

Original language	English
Pages (from-to)	1678-1683
Number of pages	6
Journal	IEEE Transactions on Automatic Control
Volume	51
Issue number	10
DOIs	https://doi.org/10.1109/TAC.2006.883029
Publication status	Published - Oct 2006
Externally published	Yes

Keywords

H∞ control
linear matrix inequality (LMI)
multivariable PID control
stabilization
static output feedback (SOF)

ASJC Scopus subject areas

Control and Systems Engineering
Computer Science Applications
Electrical and Electronic Engineering

Access to Document

10.1109/TAC.2006.883029

Cite this

@article{6e53ab43d827466f860428ecc6768f96,

title = "An Improved ILMI Method for Static Output Feedback Control With Application to Multivariable PID Control",

abstract = "An improved iterative linear matrix inequality (ILMI) algorithm for static output feedback (SOF) stabilization problem without introducing any additional variables is proposed in this note. The proposed ILMI algorithm is also extended to solve the SOF H∞controller design problem. They are applied to the multivariable PID controllers. Numerical examples show that the proposed algorithms yield better results and faster convergence than the existing ones.",

keywords = "H∞ control, linear matrix inequality (LMI), multivariable PID control, stabilization, static output feedback (SOF)",

author = "Yong He and Wang, {Qing Guo}",

year = "2006",

month = oct,

doi = "10.1109/TAC.2006.883029",

language = "English",

volume = "51",

pages = "1678--1683",

journal = "IEEE Transactions on Automatic Control",

issn = "0018-9286",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

number = "10",

}

TY - JOUR

T1 - An Improved ILMI Method for Static Output Feedback Control With Application to Multivariable PID Control

AU - He, Yong

AU - Wang, Qing Guo

PY - 2006/10

Y1 - 2006/10

N2 - An improved iterative linear matrix inequality (ILMI) algorithm for static output feedback (SOF) stabilization problem without introducing any additional variables is proposed in this note. The proposed ILMI algorithm is also extended to solve the SOF H∞controller design problem. They are applied to the multivariable PID controllers. Numerical examples show that the proposed algorithms yield better results and faster convergence than the existing ones.

AB - An improved iterative linear matrix inequality (ILMI) algorithm for static output feedback (SOF) stabilization problem without introducing any additional variables is proposed in this note. The proposed ILMI algorithm is also extended to solve the SOF H∞controller design problem. They are applied to the multivariable PID controllers. Numerical examples show that the proposed algorithms yield better results and faster convergence than the existing ones.

KW - H∞ control

KW - linear matrix inequality (LMI)

KW - multivariable PID control

KW - stabilization

KW - static output feedback (SOF)

UR - http://www.scopus.com/inward/record.url?scp=85008054140&partnerID=8YFLogxK

U2 - 10.1109/TAC.2006.883029

DO - 10.1109/TAC.2006.883029

M3 - Article

AN - SCOPUS:85008054140

SN - 0018-9286

VL - 51

SP - 1678

EP - 1683

JO - IEEE Transactions on Automatic Control

JF - IEEE Transactions on Automatic Control

IS - 10

ER -

An Improved ILMI Method for Static Output Feedback Control With Application to Multivariable PID Control

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this