Aircraft longitudinal decoupling based on a singular perturbation approach
Aircraft longitudinal dynamics is approximated by short-time mode and phugoid mode from experience. In this article, a rigorous mathematical method is provided based on the singular perturbation theory to deal with this decoupling problem. The longitudinal decoupling and singular perturbation are fi...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
SAGE Publishing
2017-09-01
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| Series: | Advances in Mechanical Engineering |
| Online Access: | https://doi.org/10.1177/1687814017727474 |
| _version_ | 1818940124420898816 |
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| author | Shangqiu Shan Zhongxi Hou Wenkai Wang |
| author_facet | Shangqiu Shan Zhongxi Hou Wenkai Wang |
| author_sort | Shangqiu Shan |
| collection | DOAJ |
| description | Aircraft longitudinal dynamics is approximated by short-time mode and phugoid mode from experience. In this article, a rigorous mathematical method is provided based on the singular perturbation theory to deal with this decoupling problem. The longitudinal decoupling and singular perturbation are first introduced. The longitudinal equations are normalized and transformed into a canonical form to extract the perturbation coefficient. Thus, the entire dynamics model is partitioned into boundary-layer equations and slow equations according to singular perturbation theory, which presents a proof to the experience method. The simulation results show that the proposed decoupling approach is sufficiently excellent to approximate the underlying model both in time domain and frequency domain. |
| first_indexed | 2024-12-20T06:34:39Z |
| format | Article |
| id | doaj.art-97e7adfc01d94bec9eb0659a72380e56 |
| institution | Directory Open Access Journal |
| issn | 1687-8140 |
| language | English |
| last_indexed | 2024-12-20T06:34:39Z |
| publishDate | 2017-09-01 |
| publisher | SAGE Publishing |
| record_format | Article |
| series | Advances in Mechanical Engineering |
| spelling | doaj.art-97e7adfc01d94bec9eb0659a72380e562022-12-21T19:50:01ZengSAGE PublishingAdvances in Mechanical Engineering1687-81402017-09-01910.1177/1687814017727474Aircraft longitudinal decoupling based on a singular perturbation approachShangqiu ShanZhongxi HouWenkai WangAircraft longitudinal dynamics is approximated by short-time mode and phugoid mode from experience. In this article, a rigorous mathematical method is provided based on the singular perturbation theory to deal with this decoupling problem. The longitudinal decoupling and singular perturbation are first introduced. The longitudinal equations are normalized and transformed into a canonical form to extract the perturbation coefficient. Thus, the entire dynamics model is partitioned into boundary-layer equations and slow equations according to singular perturbation theory, which presents a proof to the experience method. The simulation results show that the proposed decoupling approach is sufficiently excellent to approximate the underlying model both in time domain and frequency domain.https://doi.org/10.1177/1687814017727474 |
| spellingShingle | Shangqiu Shan Zhongxi Hou Wenkai Wang Aircraft longitudinal decoupling based on a singular perturbation approach Advances in Mechanical Engineering |
| title | Aircraft longitudinal decoupling based on a singular perturbation approach |
| title_full | Aircraft longitudinal decoupling based on a singular perturbation approach |
| title_fullStr | Aircraft longitudinal decoupling based on a singular perturbation approach |
| title_full_unstemmed | Aircraft longitudinal decoupling based on a singular perturbation approach |
| title_short | Aircraft longitudinal decoupling based on a singular perturbation approach |
| title_sort | aircraft longitudinal decoupling based on a singular perturbation approach |
| url | https://doi.org/10.1177/1687814017727474 |
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