Zhang, JF, Ouyang, H ORCID: 0000-0003-0312-0326, Zhang, KW and Liu, HM
(2019)
Stability test and dominant eigenvalues computation for second-order linear systems with multiple time-delays using receptance method.
Mechanical Systems and Signal Processing, 137.
p. 106180.
Text
Stability test and dominant eigenvalues computation for second-order linear systems with multiple time-delays using receptance method (Revised version).pdf - Author Accepted Manuscript Download (1MB) | Preview |
Abstract
© 2019 Elsevier Ltd Stability analysis and dominant eigenvalues computation for second-order linear systems with multiple time-delays are addressed by using a reduced characteristic function and the associated characteristic matrix comprised of measured open-loop receptances. This reduced characteristic function is derived from the original characteristic function of the second-order time delayed systems based on a reasonable assumption that eigenvalues of the closed-loop system are distinct from those of the open-loop system. Then a contour integral is used to test the stability and provide the stability chart with respect to different displacement and velocity feedback time-delays, and a Newton-type method to compute the dominant eigenvalues via this characteristic function. The proposed approach also utilizes the spectrum distribution features of the retarded time-delay systems. Finally, numerical examples are given to illustrate the effectiveness of the proposed approach.
Item Type: | Article |
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Depositing User: | Symplectic Admin |
Date Deposited: | 27 Aug 2019 09:08 |
Last Modified: | 19 Jan 2023 00:28 |
DOI: | 10.1016/j.ymssp.2019.05.064 |
Related URLs: | |
URI: | https://livrepository.liverpool.ac.uk/id/eprint/3052414 |