On loop phase margins of multivariable control systems

Please use this identifier to cite or link to this item: https://doi.org/10.1016/j.jprocont.2007.06.004

Title:	On loop phase margins of multivariable control systems
Authors:	Wang, Q.-G. He, Y. Ye, Z. Lin, C. Hang, C.C.
Keywords:	Delay-dependent stability Multivariable systems Phase margin Robust stability Time delay
Issue Date:	Feb-2008
Citation:	Wang, Q.-G., He, Y., Ye, Z., Lin, C., Hang, C.C. (2008-02). On loop phase margins of multivariable control systems. Journal of Process Control 18 (2) : 202-211. ScholarBank@NUS Repository. https://doi.org/10.1016/j.jprocont.2007.06.004
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. © 2007 Elsevier Ltd. All rights reserved.
Source Title:	Journal of Process Control
URI:	http://scholarbank.nus.edu.sg/handle/10635/50997
ISSN:	09591524
DOI:	10.1016/j.jprocont.2007.06.004
Appears in Collections:	Staff Publications

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