Stability Analysis of Pneumatic Cabin Pressure Regulating System with Complex Nonlinear Characteristics
Stability of pneumatic cabin pressure regulating system with complex nonlinear characteristics is considered. The mathematical model of each component is obtained and given in detail. The governing equations of the considered system consist of 8 differential equations. In the circumstance, commonly...
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Language: | English |
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Wiley
2015-01-01
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Series: | Journal of Control Science and Engineering |
Online Access: | http://dx.doi.org/10.1155/2015/871621 |
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author | Xinhua Zheng Lili Xie Lizhuo Liu |
author_facet | Xinhua Zheng Lili Xie Lizhuo Liu |
author_sort | Xinhua Zheng |
collection | DOAJ |
description | Stability of pneumatic cabin pressure regulating system with complex nonlinear characteristics is considered. The mathematical model of each component is obtained and given in detail. The governing equations of the considered system consist of 8 differential equations. In the circumstance, commonly used methods of nonlinear system analysis are not applicable. Therefore a new method is proposed to construct phase plane trajectories numerically. The calculation steps are given in detail. And convergence region of numerical calculation and limits on step size is defined. The method is applied constructing phase plane trajectories for considered cabin pressure regulating system. Phase plane analysis shows that there exists a limit cycle, which is responsible for pressure pulsating in aircraft cabin. After parameters adjustment, excellent stability characteristics are acquired. And the validity of this method is confirmed by the simulation. |
format | Article |
id | doaj-art-f525a7fc5c934c06b4d051ba90d3952b |
institution | Kabale University |
issn | 1687-5249 1687-5257 |
language | English |
publishDate | 2015-01-01 |
publisher | Wiley |
record_format | Article |
series | Journal of Control Science and Engineering |
spelling | doaj-art-f525a7fc5c934c06b4d051ba90d3952b2025-02-03T01:30:45ZengWileyJournal of Control Science and Engineering1687-52491687-52572015-01-01201510.1155/2015/871621871621Stability Analysis of Pneumatic Cabin Pressure Regulating System with Complex Nonlinear CharacteristicsXinhua Zheng0Lili Xie1Lizhuo Liu2School of Automation, Northwestern Polytechnical University, Xi’an 710129, ChinaSchool of Automation, Northwestern Polytechnical University, Xi’an 710129, ChinaSchool of Automation, Northwestern Polytechnical University, Xi’an 710129, ChinaStability of pneumatic cabin pressure regulating system with complex nonlinear characteristics is considered. The mathematical model of each component is obtained and given in detail. The governing equations of the considered system consist of 8 differential equations. In the circumstance, commonly used methods of nonlinear system analysis are not applicable. Therefore a new method is proposed to construct phase plane trajectories numerically. The calculation steps are given in detail. And convergence region of numerical calculation and limits on step size is defined. The method is applied constructing phase plane trajectories for considered cabin pressure regulating system. Phase plane analysis shows that there exists a limit cycle, which is responsible for pressure pulsating in aircraft cabin. After parameters adjustment, excellent stability characteristics are acquired. And the validity of this method is confirmed by the simulation.http://dx.doi.org/10.1155/2015/871621 |
spellingShingle | Xinhua Zheng Lili Xie Lizhuo Liu Stability Analysis of Pneumatic Cabin Pressure Regulating System with Complex Nonlinear Characteristics Journal of Control Science and Engineering |
title | Stability Analysis of Pneumatic Cabin Pressure Regulating System with Complex Nonlinear Characteristics |
title_full | Stability Analysis of Pneumatic Cabin Pressure Regulating System with Complex Nonlinear Characteristics |
title_fullStr | Stability Analysis of Pneumatic Cabin Pressure Regulating System with Complex Nonlinear Characteristics |
title_full_unstemmed | Stability Analysis of Pneumatic Cabin Pressure Regulating System with Complex Nonlinear Characteristics |
title_short | Stability Analysis of Pneumatic Cabin Pressure Regulating System with Complex Nonlinear Characteristics |
title_sort | stability analysis of pneumatic cabin pressure regulating system with complex nonlinear characteristics |
url | http://dx.doi.org/10.1155/2015/871621 |
work_keys_str_mv | AT xinhuazheng stabilityanalysisofpneumaticcabinpressureregulatingsystemwithcomplexnonlinearcharacteristics AT lilixie stabilityanalysisofpneumaticcabinpressureregulatingsystemwithcomplexnonlinearcharacteristics AT lizhuoliu stabilityanalysisofpneumaticcabinpressureregulatingsystemwithcomplexnonlinearcharacteristics |