On loop phase margins of multivariable control systems

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

doi:10.1016/j.jprocont.2007.06.004

On loop phase margins of multivariable control systems

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

National University of Singapore

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

16 Citations (Scopus)

Abstract

This paper has two contributions. One is introduction of loop phase margins for multivariable control systems, which extends the concept of phase margin in SISO systems to MIMO systems. The other one is development of an algorithm for computing the loop phase margins. The algorithm is composed of two steps. The first is to find the stabilizing ranges of loop time delay perturbations of the MIMO system using an LMI-based stability criterion derived here. The second is to convert these stabilizing ranges of loop time delays into the stabilizing ranges of loop phases. Two numerical examples are given to illustrate the effectiveness of the proposed approach.

Original language	English
Pages (from-to)	202-211
Number of pages	10
Journal	Journal of Process Control
Volume	18
Issue number	2
DOIs	https://doi.org/10.1016/j.jprocont.2007.06.004
Publication status	Published - Feb 2008
Externally published	Yes

Keywords

Delay-dependent stability
Multivariable systems
Phase margin
Robust stability
Time delay

ASJC Scopus subject areas

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

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10.1016/j.jprocont.2007.06.004

Cite this

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abstract = "This paper has two contributions. One is introduction of loop phase margins for multivariable control systems, which extends the concept of phase margin in SISO systems to MIMO systems. The other one is development of an algorithm for computing the loop phase margins. The algorithm is composed of two steps. The first is to find the stabilizing ranges of loop time delay perturbations of the MIMO system using an LMI-based stability criterion derived here. The second is to convert these stabilizing ranges of loop time delays into the stabilizing ranges of loop phases. Two numerical examples are given to illustrate the effectiveness of the proposed approach.",

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

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T1 - On loop phase margins of multivariable control systems

AU - Wang, Qing Guo

AU - He, Yong

AU - Ye, Zhen

AU - Lin, Chong

AU - Hang, Chang Chieh

PY - 2008/2

Y1 - 2008/2

N2 - This paper has two contributions. One is introduction of loop phase margins for multivariable control systems, which extends the concept of phase margin in SISO systems to MIMO systems. The other one is development of an algorithm for computing the loop phase margins. The algorithm is composed of two steps. The first is to find the stabilizing ranges of loop time delay perturbations of the MIMO system using an LMI-based stability criterion derived here. The second is to convert these stabilizing ranges of loop time delays into the stabilizing ranges of loop phases. Two numerical examples are given to illustrate the effectiveness of the proposed approach.

AB - This paper has two contributions. One is introduction of loop phase margins for multivariable control systems, which extends the concept of phase margin in SISO systems to MIMO systems. The other one is development of an algorithm for computing the loop phase margins. The algorithm is composed of two steps. The first is to find the stabilizing ranges of loop time delay perturbations of the MIMO system using an LMI-based stability criterion derived here. The second is to convert these stabilizing ranges of loop time delays into the stabilizing ranges of loop phases. Two numerical examples are given to illustrate the effectiveness of the proposed approach.

KW - Delay-dependent stability

KW - Multivariable systems

KW - Phase margin

KW - Robust stability

KW - Time delay

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SN - 0959-1524

VL - 18

SP - 202

EP - 211

JO - Journal of Process Control

JF - Journal of Process Control

IS - 2

ER -

On loop phase margins of multivariable control systems

Abstract

Keywords

ASJC Scopus subject areas

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