Time and frequency domain low order, low frequency approximation of mechanical systems
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866929332942798848 |
|---|---|
| author | Zwart, Hans Veldman, Daniël W. M. Sharifi, Sahar F. |
| author_facet | Zwart, Hans Veldman, Daniël W. M. Sharifi, Sahar F. |
| contents | Control design for linear, time-invariant mechanical systems typically requires an accurate low-order approximation in the low frequency range. For example a series expansion of the transfer function around zero consisting of a mass, velocity, and compliance term. Because computing such a series expansion of the transfer function can be cumbersome, a new method to compute low-order approximations of mechanical systems is developed in this paper. The method does not require an explicit expression for the transfer function, which is not always available for infinite-dimensional systems. The advantages of the proposed method is demonstrated in three examples. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_00486 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Time and frequency domain low order, low frequency approximation of mechanical systems Zwart, Hans Veldman, Daniël W. M. Sharifi, Sahar F. Optimization and Control Analysis of PDEs 93B11, 93C20, 93C05, 93C80, 93C95 Control design for linear, time-invariant mechanical systems typically requires an accurate low-order approximation in the low frequency range. For example a series expansion of the transfer function around zero consisting of a mass, velocity, and compliance term. Because computing such a series expansion of the transfer function can be cumbersome, a new method to compute low-order approximations of mechanical systems is developed in this paper. The method does not require an explicit expression for the transfer function, which is not always available for infinite-dimensional systems. The advantages of the proposed method is demonstrated in three examples. |
| title | Time and frequency domain low order, low frequency approximation of mechanical systems |
| topic | Optimization and Control Analysis of PDEs 93B11, 93C20, 93C05, 93C80, 93C95 |
| url | https://arxiv.org/abs/2405.00486 |