Stability analysis of linear feedback systems in control
Name
symmetry-12-01518.pdf
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2.19 MB
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Adobe PDF
Checksum (MD5)
f2d09b7d0ef47a37f48d0905101bbcd0
Author(s)
Rehman, Mutti-Ur
Alzabut, Jehad
Anwar, Muhammad Fazeel
Date Issued
September 2020
Journal
Symmetry
Publisher
Multidisciplinary Digital Publishing Institute
Citation
Rehman, Mutti-Ur, Jehad Alzabut, and Jehad Alzabut. "Stability analysis of linear feedback systems in control." Symmetry 12, 9 (September 2020): 1518 ©2020 Author(s)
Version
Final published version
Abstract
This article presents a stability analysis of linear time invariant systems arising in system theory. The computation of upper bounds of structured singular values confer the stability analysis, robustness and performance of feedback systems in system theory. The computation of the bounds of structured singular values of Toeplitz and symmetric Toeplitz matrices for linear time invariant systems is presented by means of low rank ordinary differential equations (ODE’s) based methodology. The proposed methodology is based upon the inner-outer algorithm. The inner algorithm constructs and solves a gradient system of ODE’s while the outer algorithm adjusts the perturbation level with fast Newton’s iteration. The comparison of bounds of structured singular values approximated by low rank ODE’s based methodology results tighter bounds when compared with well-known MATLAB routine mussv, available in MATLAB control toolbox.
MIT Department
Massachusetts Institute of Technology. Department of Chemical Engineering
Terms of Use
Creative Commons Attribution
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.3390/sym12091518
