Exact computation of loop gain margins of multivariable feedback systems

Zhuo Yun Nie; Qing Guo Wang; Min Wu; Yong He

doi:10.1016/j.jprocont.2010.04.006

Exact computation of loop gain margins of multivariable feedback systems

Zhuo Yun Nie, Qing Guo Wang, Min Wu, Yong He

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

6 Citations (Scopus)

Abstract

This paper addresses the problem of loop gain margins of multivariable feedback system. A frequency domain approach is proposed to accurately computing loop gain margins for multivariable feedback systems. With the help of vector mapping method, the loop gain margins problem is converted to some constrained optimization, which is solved numerically by the Lagrange multiplier and Newton-Raphson iteration algorithm. The proposed approach can determine all the stabilizing boundaries and provide exact gain margins in comparison with conservativeness of the linear matrix inequalities (LMI) results reported before. Crown

Original language	English
Pages (from-to)	762-768
Number of pages	7
Journal	Journal of Process Control
Volume	20
Issue number	6
DOIs	https://doi.org/10.1016/j.jprocont.2010.04.006
Publication status	Published - Jul 2010
Externally published	Yes

Keywords

Frequency response
Gain margin
Multivariable control systems
Optimization
Stability robustness
Stabilizing parameter range

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.2010.04.006

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title = "Exact computation of loop gain margins of multivariable feedback systems",

abstract = "This paper addresses the problem of loop gain margins of multivariable feedback system. A frequency domain approach is proposed to accurately computing loop gain margins for multivariable feedback systems. With the help of vector mapping method, the loop gain margins problem is converted to some constrained optimization, which is solved numerically by the Lagrange multiplier and Newton-Raphson iteration algorithm. The proposed approach can determine all the stabilizing boundaries and provide exact gain margins in comparison with conservativeness of the linear matrix inequalities (LMI) results reported before. Crown",

keywords = "Frequency response, Gain margin, Multivariable control systems, Optimization, Stability robustness, Stabilizing parameter range",

author = "Nie, {Zhuo Yun} and Wang, {Qing Guo} and Min Wu and Yong He",

year = "2010",

month = jul,

doi = "10.1016/j.jprocont.2010.04.006",

language = "English",

volume = "20",

pages = "762--768",

journal = "Journal of Process Control",

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AU - Nie, Zhuo Yun

AU - Wang, Qing Guo

AU - Wu, Min

AU - He, Yong

PY - 2010/7

Y1 - 2010/7

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AB - This paper addresses the problem of loop gain margins of multivariable feedback system. A frequency domain approach is proposed to accurately computing loop gain margins for multivariable feedback systems. With the help of vector mapping method, the loop gain margins problem is converted to some constrained optimization, which is solved numerically by the Lagrange multiplier and Newton-Raphson iteration algorithm. The proposed approach can determine all the stabilizing boundaries and provide exact gain margins in comparison with conservativeness of the linear matrix inequalities (LMI) results reported before. Crown

KW - Frequency response

KW - Gain margin

KW - Multivariable control systems

KW - Optimization

KW - Stability robustness

KW - Stabilizing parameter range

UR - http://www.scopus.com/inward/record.url?scp=77955229776&partnerID=8YFLogxK

U2 - 10.1016/j.jprocont.2010.04.006

DO - 10.1016/j.jprocont.2010.04.006

M3 - Article

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SN - 0959-1524

VL - 20

SP - 762

EP - 768

JO - Journal of Process Control

JF - Journal of Process Control

IS - 6

ER -

Exact computation of loop gain margins of multivariable feedback systems

Abstract

Keywords

ASJC Scopus subject areas

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