Exact computation of loop gain margins of multivariable feedback systems

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 con...

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Bibliographic Details
Published in:Journal of process control 2010-07, Vol.20 (6), p.762-768
Main Authors: Nie, Zhuo-Yun, Wang, Qing-Guo, Wu, Min, He, Yong
Format: Article
Language:English
Subjects:
Frequency response
Gain margin
Multivariable control systems
Optimization
Stability robustness
Stabilizing parameter range
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Summary: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.
ISSN:0959-1524
1873-2771
DOI:10.1016/j.jprocont.2010.04.006