Please use this identifier to cite or link to this item: https://doi.org/10.1016/j.jprocont.2010.04.006
Title: Exact computation of loop gain margins of multivariable feedback systems
Authors: Nie, Z.-Y.
Wang, Q.-G. 
Wu, M.
He, Y.
Keywords: Frequency response
Gain margin
Multivariable control systems
Optimization
Stability robustness
Stabilizing parameter range
Issue Date: Jul-2010
Citation: Nie, Z.-Y., Wang, Q.-G., Wu, M., He, Y. (2010-07). Exact computation of loop gain margins of multivariable feedback systems. Journal of Process Control 20 (6) : 762-768. ScholarBank@NUS Repository. https://doi.org/10.1016/j.jprocont.2010.04.006
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 Copyright © 2010 Published by Elsevier Ltd. All rights reserved.
Source Title: Journal of Process Control
URI: http://scholarbank.nus.edu.sg/handle/10635/55941
ISSN: 09591524
DOI: 10.1016/j.jprocont.2010.04.006
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