Stability test and dominant eigenvalues computation for second-order linear systems with multiple time-delays using receptance method



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.

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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
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