Receptance-Based Dominant Eigenvalues Computation of Controlled Vibrating Systems with Multiple Time-Delays Using a Contour Integral Method
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ID: 269682
2019
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Abstract
The computation of dominant eigenvalues of second-order linear control systems with multiple time-delays is tackled by using a contour integral method. The proposed approach depends on 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 the reasonable assumption that eigenvalues of the closed-loop system are distinct from those of the open-loop system, and has the same eigenvalues as those of the original. Then, the eigenvalues computation is equivalent to solve a nonlinear eigenvalue problem of the associated characteristic matrix by using a contour integral method. 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.
| Reference Key |
yang2019appliedreceptance-based
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| Authors | Jun-Shen Yang;Huajiang Ouyang;Jia-Fan Zhang;Ke-Wei Zhang;Zhi-Gang Hu;Hai-Min Liu;Yang, Jun-Shen;Ouyang, Huajiang;Zhang, Jia-Fan;Zhang, Ke-Wei;Hu, Zhi-Gang;Liu, Hai-Min; |
| Journal | applied sciences |
| Year | 2019 |
| DOI |
10.3390/app9235263
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| URL | |
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